[2526] | 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | import unittest, os |
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| 4 | from math import sqrt, pi |
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| 5 | |
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| 6 | from config import g, epsilon |
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| 7 | from Numeric import allclose, array, zeros, ones, Float, take |
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| 8 | from utilities.numerical_tools import mean |
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| 9 | |
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| 10 | from shallow_water import * |
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| 11 | |
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| 12 | |
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| 13 | |
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| 14 | #Variable windfield implemented using functions |
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| 15 | def speed(t,x,y): |
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| 16 | """Large speeds halfway between center and edges |
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| 17 | Low speeds at center and edges |
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| 18 | """ |
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| 19 | |
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| 20 | from math import sqrt, exp, cos, pi |
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| 21 | |
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| 22 | x = array(x) |
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| 23 | y = array(y) |
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| 24 | |
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| 25 | N = len(x) |
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| 26 | s = 0*x #New array |
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| 27 | |
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| 28 | for k in range(N): |
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| 29 | |
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| 30 | r = sqrt(x[k]**2 + y[k]**2) |
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| 31 | |
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| 32 | factor = exp( -(r-0.15)**2 ) |
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| 33 | |
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| 34 | s[k] = 4000 * factor * (cos(t*2*pi/150) + 2) |
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| 35 | |
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| 36 | return s |
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| 37 | |
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| 38 | |
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| 39 | def scalar_func(t,x,y): |
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| 40 | """Function that returns a scalar. |
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| 41 | Used to test error message when Numeric array is expected |
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| 42 | """ |
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| 43 | |
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| 44 | return 17.7 |
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| 45 | |
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| 46 | |
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| 47 | def angle(t,x,y): |
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| 48 | """Rotating field |
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| 49 | """ |
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| 50 | from math import sqrt, atan, pi |
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| 51 | |
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| 52 | x = array(x) |
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| 53 | y = array(y) |
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| 54 | |
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| 55 | N = len(x) |
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| 56 | a = 0*x #New array |
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| 57 | |
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| 58 | for k in range(N): |
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| 59 | r = sqrt(x[k]**2 + y[k]**2) |
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| 60 | |
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| 61 | angle = atan(y[k]/x[k]) |
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| 62 | |
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| 63 | if x[k] < 0: |
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| 64 | angle+=pi #atan in ]-pi/2; pi/2[ |
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| 65 | |
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| 66 | #Take normal direction |
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| 67 | angle -= pi/2 |
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| 68 | |
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| 69 | #Ensure positive radians |
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| 70 | if angle < 0: |
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| 71 | angle += 2*pi |
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| 72 | |
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| 73 | a[k] = angle/pi*180 |
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| 74 | |
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| 75 | return a |
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| 76 | |
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| 77 | |
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| 78 | class Test_Shallow_Water(unittest.TestCase): |
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| 79 | def setUp(self): |
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| 80 | pass |
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| 81 | |
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| 82 | def tearDown(self): |
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| 83 | pass |
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| 84 | |
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| 85 | def test_rotate(self): |
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| 86 | normal = array([0.0,-1.0]) |
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| 87 | |
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| 88 | q = array([1.0,2.0,3.0]) |
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| 89 | |
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| 90 | r = rotate(q, normal, direction = 1) |
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| 91 | assert r[0] == 1 |
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| 92 | assert r[1] == -3 |
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| 93 | assert r[2] == 2 |
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| 94 | |
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| 95 | w = rotate(r, normal, direction = -1) |
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| 96 | assert allclose(w, q) |
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| 97 | |
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| 98 | #Check error check |
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| 99 | try: |
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| 100 | rotate(r, array([1,1,1]) ) |
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| 101 | except: |
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| 102 | pass |
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| 103 | else: |
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| 104 | raise 'Should have raised an exception' |
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| 105 | |
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| 106 | def test_flux_zero_case(self): |
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| 107 | ql = zeros( 3, Float ) |
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| 108 | qr = zeros( 3, Float ) |
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| 109 | normal = zeros( 2, Float ) |
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| 110 | zl = zr = 0. |
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| 111 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 112 | |
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| 113 | assert allclose(flux, [0,0,0]) |
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| 114 | assert max_speed == 0. |
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| 115 | |
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| 116 | def test_flux_constants(self): |
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| 117 | w = 2.0 |
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| 118 | |
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| 119 | normal = array([1.,0]) |
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| 120 | ql = array([w, 0, 0]) |
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| 121 | qr = array([w, 0, 0]) |
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| 122 | zl = zr = 0. |
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| 123 | h = w - (zl+zr)/2 |
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| 124 | |
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| 125 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 126 | |
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| 127 | assert allclose(flux, [0., 0.5*g*h**2, 0.]) |
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| 128 | assert max_speed == sqrt(g*h) |
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| 129 | |
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| 130 | #def test_flux_slope(self): |
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| 131 | # #FIXME: TODO |
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| 132 | # w = 2.0 |
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| 133 | # |
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| 134 | # normal = array([1.,0]) |
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| 135 | # ql = array([w, 0, 0]) |
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| 136 | # qr = array([w, 0, 0]) |
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| 137 | # zl = zr = 0. |
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| 138 | # h = w - (zl+zr)/2 |
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| 139 | # |
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| 140 | # flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 141 | # |
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| 142 | # assert allclose(flux, [0., 0.5*g*h**2, 0.]) |
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| 143 | # assert max_speed == sqrt(g*h) |
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| 144 | |
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| 145 | |
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| 146 | def test_flux1(self): |
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| 147 | #Use data from previous version of pyvolution |
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| 148 | normal = array([1.,0]) |
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| 149 | ql = array([-0.2, 2, 3]) |
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| 150 | qr = array([-0.2, 2, 3]) |
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| 151 | zl = zr = -0.5 |
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| 152 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 153 | |
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| 154 | assert allclose(flux, [2.,13.77433333, 20.]) |
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| 155 | assert allclose(max_speed, 8.38130948661) |
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| 156 | |
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| 157 | |
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| 158 | def test_flux2(self): |
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| 159 | #Use data from previous version of pyvolution |
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| 160 | normal = array([0., -1.]) |
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| 161 | ql = array([-0.075, 2, 3]) |
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| 162 | qr = array([-0.075, 2, 3]) |
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| 163 | zl = zr = -0.375 |
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| 164 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 165 | |
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| 166 | assert allclose(flux, [-3.,-20.0, -30.441]) |
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| 167 | assert allclose(max_speed, 11.7146428199) |
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| 168 | |
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| 169 | def test_flux3(self): |
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| 170 | #Use data from previous version of pyvolution |
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| 171 | normal = array([-sqrt(2)/2, sqrt(2)/2]) |
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| 172 | ql = array([-0.075, 2, 3]) |
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| 173 | qr = array([-0.075, 2, 3]) |
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| 174 | zl = zr = -0.375 |
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| 175 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 176 | |
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| 177 | assert allclose(flux, [sqrt(2)/2, 4.40221112, 7.3829019]) |
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| 178 | assert allclose(max_speed, 4.0716654239) |
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| 179 | |
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| 180 | def test_flux4(self): |
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| 181 | #Use data from previous version of pyvolution |
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| 182 | normal = array([-sqrt(2)/2, sqrt(2)/2]) |
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| 183 | ql = array([-0.34319278, 0.10254161, 0.07273855]) |
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| 184 | qr = array([-0.30683287, 0.1071986, 0.05930515]) |
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| 185 | zl = zr = -0.375 |
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| 186 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 187 | |
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| 188 | assert allclose(flux, [-0.04072676, -0.07096636, -0.01604364]) |
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| 189 | assert allclose(max_speed, 1.31414103233) |
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| 190 | |
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| 191 | def test_sw_domain_simple(self): |
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| 192 | a = [0.0, 0.0] |
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| 193 | b = [0.0, 2.0] |
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| 194 | c = [2.0,0.0] |
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| 195 | d = [0.0, 4.0] |
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| 196 | e = [2.0, 2.0] |
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| 197 | f = [4.0,0.0] |
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| 198 | |
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| 199 | points = [a, b, c, d, e, f] |
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| 200 | #bac, bce, ecf, dbe, daf, dae |
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| 201 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 202 | |
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| 203 | domain = Domain(points, vertices) |
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| 204 | domain.check_integrity() |
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| 205 | |
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| 206 | for name in ['stage', 'xmomentum', 'ymomentum', |
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| 207 | 'elevation', 'friction']: |
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| 208 | assert domain.quantities.has_key(name) |
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| 209 | |
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| 210 | |
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| 211 | assert domain.get_conserved_quantities(0, edge=1) == 0. |
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| 212 | |
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| 213 | |
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| 214 | def test_boundary_conditions(self): |
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| 215 | |
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| 216 | a = [0.0, 0.0] |
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| 217 | b = [0.0, 2.0] |
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| 218 | c = [2.0,0.0] |
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| 219 | d = [0.0, 4.0] |
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| 220 | e = [2.0, 2.0] |
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| 221 | f = [4.0,0.0] |
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| 222 | |
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| 223 | points = [a, b, c, d, e, f] |
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| 224 | #bac, bce, ecf, dbe |
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| 225 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 226 | boundary = { (0, 0): 'Third', |
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| 227 | (0, 2): 'First', |
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| 228 | (2, 0): 'Second', |
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| 229 | (2, 1): 'Second', |
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| 230 | (3, 1): 'Second', |
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| 231 | (3, 2): 'Third'} |
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| 232 | |
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| 233 | |
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| 234 | domain = Domain(points, vertices, boundary) |
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| 235 | domain.check_integrity() |
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| 236 | |
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| 237 | |
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| 238 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 239 | [0,0,9], [-6, 3, 3]]) |
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| 240 | |
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| 241 | domain.set_quantity('xmomentum', [[1,1,1], [2,2,2], |
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| 242 | [3,3,3], [4, 4, 4]]) |
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| 243 | |
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| 244 | domain.set_quantity('ymomentum', [[10,10,10], [20,20,20], |
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| 245 | [30,30,30], [40, 40, 40]]) |
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| 246 | |
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| 247 | |
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| 248 | D = Dirichlet_boundary([5,2,1]) |
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| 249 | T = Transmissive_boundary(domain) |
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| 250 | R = Reflective_boundary(domain) |
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| 251 | domain.set_boundary( {'First': D, 'Second': T, 'Third': R}) |
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| 252 | |
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| 253 | domain.update_boundary() |
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| 254 | |
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| 255 | #Stage |
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| 256 | assert domain.quantities['stage'].boundary_values[0] == 2.5 |
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| 257 | assert domain.quantities['stage'].boundary_values[0] ==\ |
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| 258 | domain.get_conserved_quantities(0, edge=0)[0] #Reflective (2.5) |
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| 259 | assert domain.quantities['stage'].boundary_values[1] == 5. #Dirichlet |
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| 260 | assert domain.quantities['stage'].boundary_values[2] ==\ |
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| 261 | domain.get_conserved_quantities(2, edge=0)[0] #Transmissive (4.5) |
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| 262 | assert domain.quantities['stage'].boundary_values[3] ==\ |
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| 263 | domain.get_conserved_quantities(2, edge=1)[0] #Transmissive (4.5) |
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| 264 | assert domain.quantities['stage'].boundary_values[4] ==\ |
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| 265 | domain.get_conserved_quantities(3, edge=1)[0] #Transmissive (-1.5) |
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| 266 | assert domain.quantities['stage'].boundary_values[5] ==\ |
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| 267 | domain.get_conserved_quantities(3, edge=2)[0] #Reflective (-1.5) |
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| 268 | |
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| 269 | #Xmomentum |
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| 270 | assert domain.quantities['xmomentum'].boundary_values[0] == 1.0 #Reflective |
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| 271 | assert domain.quantities['xmomentum'].boundary_values[1] == 2. #Dirichlet |
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| 272 | assert domain.quantities['xmomentum'].boundary_values[2] ==\ |
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| 273 | domain.get_conserved_quantities(2, edge=0)[1] #Transmissive |
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| 274 | assert domain.quantities['xmomentum'].boundary_values[3] ==\ |
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| 275 | domain.get_conserved_quantities(2, edge=1)[1] #Transmissive |
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| 276 | assert domain.quantities['xmomentum'].boundary_values[4] ==\ |
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| 277 | domain.get_conserved_quantities(3, edge=1)[1] #Transmissive |
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| 278 | assert domain.quantities['xmomentum'].boundary_values[5] == -4.0 #Reflective |
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| 279 | |
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| 280 | #Ymomentum |
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| 281 | assert domain.quantities['ymomentum'].boundary_values[0] == -10.0 #Reflective |
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| 282 | assert domain.quantities['ymomentum'].boundary_values[1] == 1. #Dirichlet |
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| 283 | assert domain.quantities['ymomentum'].boundary_values[2] == 30. #Transmissive |
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| 284 | assert domain.quantities['ymomentum'].boundary_values[3] == 30. #Transmissive |
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| 285 | assert domain.quantities['ymomentum'].boundary_values[4] == 40. #Transmissive |
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| 286 | assert domain.quantities['ymomentum'].boundary_values[5] == 40. #Reflective |
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| 287 | |
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| 288 | |
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| 289 | def test_boundary_conditionsII(self): |
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| 290 | |
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| 291 | a = [0.0, 0.0] |
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| 292 | b = [0.0, 2.0] |
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| 293 | c = [2.0,0.0] |
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| 294 | d = [0.0, 4.0] |
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| 295 | e = [2.0, 2.0] |
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| 296 | f = [4.0,0.0] |
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| 297 | |
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| 298 | points = [a, b, c, d, e, f] |
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| 299 | #bac, bce, ecf, dbe |
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| 300 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 301 | boundary = { (0, 0): 'Third', |
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| 302 | (0, 2): 'First', |
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| 303 | (2, 0): 'Second', |
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| 304 | (2, 1): 'Second', |
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| 305 | (3, 1): 'Second', |
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| 306 | (3, 2): 'Third', |
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| 307 | (0, 1): 'Internal'} |
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| 308 | |
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| 309 | |
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| 310 | domain = Domain(points, vertices, boundary) |
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| 311 | domain.check_integrity() |
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| 312 | |
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| 313 | |
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| 314 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 315 | [0,0,9], [-6, 3, 3]]) |
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| 316 | |
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| 317 | domain.set_quantity('xmomentum', [[1,1,1], [2,2,2], |
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| 318 | [3,3,3], [4, 4, 4]]) |
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| 319 | |
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| 320 | domain.set_quantity('ymomentum', [[10,10,10], [20,20,20], |
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| 321 | [30,30,30], [40, 40, 40]]) |
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| 322 | |
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| 323 | |
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| 324 | D = Dirichlet_boundary([5,2,1]) |
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| 325 | T = Transmissive_boundary(domain) |
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| 326 | R = Reflective_boundary(domain) |
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| 327 | domain.set_boundary( {'First': D, 'Second': T, |
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| 328 | 'Third': R, 'Internal': None}) |
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| 329 | |
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| 330 | domain.update_boundary() |
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| 331 | domain.check_integrity() |
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| 332 | |
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| 333 | |
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| 334 | def test_compute_fluxes0(self): |
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| 335 | #Do a full triangle and check that fluxes cancel out for |
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| 336 | #the constant stage case |
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| 337 | |
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| 338 | a = [0.0, 0.0] |
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| 339 | b = [0.0, 2.0] |
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| 340 | c = [2.0,0.0] |
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| 341 | d = [0.0, 4.0] |
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| 342 | e = [2.0, 2.0] |
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| 343 | f = [4.0,0.0] |
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| 344 | |
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| 345 | points = [a, b, c, d, e, f] |
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| 346 | #bac, bce, ecf, dbe |
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| 347 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 348 | |
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| 349 | domain = Domain(points, vertices) |
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| 350 | domain.set_quantity('stage', [[2,2,2], [2,2,2], |
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| 351 | [2,2,2], [2,2,2]]) |
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| 352 | domain.check_integrity() |
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| 353 | |
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| 354 | assert allclose(domain.neighbours, [[-1,1,-1], [2,3,0], [-1,-1,1],[1,-1,-1]]) |
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| 355 | assert allclose(domain.neighbour_edges, [[-1,2,-1], [2,0,1], [-1,-1,0],[1,-1,-1]]) |
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| 356 | |
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| 357 | zl=zr=0. #Assume flat bed |
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| 358 | |
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| 359 | #Flux across right edge of volume 1 |
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| 360 | normal = domain.get_normal(1,0) |
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| 361 | ql = domain.get_conserved_quantities(vol_id=1, edge=0) |
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| 362 | qr = domain.get_conserved_quantities(vol_id=2, edge=2) |
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| 363 | flux0, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 364 | |
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| 365 | #Check that flux seen from other triangles is inverse |
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| 366 | tmp = qr; qr=ql; ql=tmp |
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| 367 | normal = domain.get_normal(2,2) |
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| 368 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 369 | assert allclose(flux + flux0, 0.) |
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| 370 | |
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| 371 | #Flux across upper edge of volume 1 |
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| 372 | normal = domain.get_normal(1,1) |
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| 373 | ql = domain.get_conserved_quantities(vol_id=1, edge=1) |
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| 374 | qr = domain.get_conserved_quantities(vol_id=3, edge=0) |
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| 375 | flux1, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 376 | |
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| 377 | #Check that flux seen from other triangles is inverse |
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| 378 | tmp = qr; qr=ql; ql=tmp |
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| 379 | normal = domain.get_normal(3,0) |
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| 380 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 381 | assert allclose(flux + flux1, 0.) |
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| 382 | |
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| 383 | #Flux across lower left hypotenuse of volume 1 |
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| 384 | normal = domain.get_normal(1,2) |
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| 385 | ql = domain.get_conserved_quantities(vol_id=1, edge=2) |
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| 386 | qr = domain.get_conserved_quantities(vol_id=0, edge=1) |
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| 387 | flux2, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 388 | |
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| 389 | #Check that flux seen from other triangles is inverse |
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| 390 | tmp = qr; qr=ql; ql=tmp |
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| 391 | normal = domain.get_normal(0,1) |
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| 392 | flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 393 | assert allclose(flux + flux2, 0.) |
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| 394 | |
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| 395 | |
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| 396 | #Scale by edgelengths, add up anc check that total flux is zero |
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| 397 | e0 = domain.edgelengths[1, 0] |
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| 398 | e1 = domain.edgelengths[1, 1] |
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| 399 | e2 = domain.edgelengths[1, 2] |
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| 400 | |
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| 401 | assert allclose(e0*flux0+e1*flux1+e2*flux2, 0.) |
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| 402 | |
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| 403 | #Now check that compute_flux yields zeros as well |
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| 404 | domain.compute_fluxes() |
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| 405 | |
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| 406 | for name in ['stage', 'xmomentum', 'ymomentum']: |
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| 407 | #print name, domain.quantities[name].explicit_update |
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| 408 | assert allclose(domain.quantities[name].explicit_update[1], 0) |
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| 409 | |
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| 410 | |
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| 411 | |
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| 412 | def test_compute_fluxes1(self): |
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| 413 | #Use values from previous version |
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| 414 | |
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| 415 | a = [0.0, 0.0] |
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| 416 | b = [0.0, 2.0] |
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| 417 | c = [2.0,0.0] |
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| 418 | d = [0.0, 4.0] |
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| 419 | e = [2.0, 2.0] |
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| 420 | f = [4.0,0.0] |
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| 421 | |
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| 422 | points = [a, b, c, d, e, f] |
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| 423 | #bac, bce, ecf, dbe |
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| 424 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 425 | |
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| 426 | domain = Domain(points, vertices) |
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| 427 | val0 = 2.+2.0/3 |
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| 428 | val1 = 4.+4.0/3 |
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| 429 | val2 = 8.+2.0/3 |
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| 430 | val3 = 2.+8.0/3 |
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| 431 | |
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| 432 | domain.set_quantity('stage', [[val0, val0, val0], [val1, val1, val1], |
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| 433 | [val2, val2, val2], [val3, val3, val3]]) |
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| 434 | domain.check_integrity() |
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| 435 | |
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| 436 | zl=zr=0. #Assume flat bed |
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| 437 | |
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| 438 | #Flux across right edge of volume 1 |
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[2730] | 439 | normal = domain.get_normal(1,0) #Get normal 0 of triangle 1 |
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| 440 | assert allclose(normal, [1, 0]) |
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| 441 | |
---|
[2526] | 442 | ql = domain.get_conserved_quantities(vol_id=1, edge=0) |
---|
[2730] | 443 | assert allclose(ql, [val1, 0, 0]) |
---|
| 444 | |
---|
[2526] | 445 | qr = domain.get_conserved_quantities(vol_id=2, edge=2) |
---|
[2730] | 446 | assert allclose(qr, [val2, 0, 0]) |
---|
| 447 | |
---|
[2526] | 448 | flux0, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
[2730] | 449 | |
---|
| 450 | #Flux across edge in the east direction (as per normal vector) |
---|
[2526] | 451 | assert allclose(flux0, [-15.3598804, 253.71111111, 0.]) |
---|
| 452 | assert allclose(max_speed, 9.21592824046) |
---|
| 453 | |
---|
| 454 | |
---|
[2730] | 455 | #Flux across edge in the west direction (opposite sign for xmomentum) |
---|
| 456 | normal_opposite = domain.get_normal(2,2) #Get normal 2 of triangle 2 |
---|
| 457 | assert allclose(normal_opposite, [-1, 0]) |
---|
| 458 | flux_opposite, max_speed = flux_function([-1, 0], ql, qr, zl, zr) |
---|
| 459 | assert allclose(flux_opposite, [-15.3598804, -253.71111111, 0.]) |
---|
| 460 | |
---|
| 461 | |
---|
[2526] | 462 | #Flux across upper edge of volume 1 |
---|
| 463 | normal = domain.get_normal(1,1) |
---|
| 464 | ql = domain.get_conserved_quantities(vol_id=1, edge=1) |
---|
| 465 | qr = domain.get_conserved_quantities(vol_id=3, edge=0) |
---|
| 466 | flux1, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 467 | assert allclose(flux1, [2.4098563, 0., 123.04444444]) |
---|
| 468 | assert allclose(max_speed, 7.22956891292) |
---|
| 469 | |
---|
| 470 | #Flux across lower left hypotenuse of volume 1 |
---|
| 471 | normal = domain.get_normal(1,2) |
---|
| 472 | ql = domain.get_conserved_quantities(vol_id=1, edge=2) |
---|
| 473 | qr = domain.get_conserved_quantities(vol_id=0, edge=1) |
---|
| 474 | flux2, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 475 | |
---|
| 476 | assert allclose(flux2, [9.63942522, -61.59685738, -61.59685738]) |
---|
| 477 | assert allclose(max_speed, 7.22956891292) |
---|
| 478 | |
---|
| 479 | #Scale, add up and check that compute_fluxes is correct for vol 1 |
---|
| 480 | e0 = domain.edgelengths[1, 0] |
---|
| 481 | e1 = domain.edgelengths[1, 1] |
---|
| 482 | e2 = domain.edgelengths[1, 2] |
---|
| 483 | |
---|
| 484 | total_flux = -(e0*flux0+e1*flux1+e2*flux2)/domain.areas[1] |
---|
| 485 | assert allclose(total_flux, [-0.68218178, -166.6, -35.93333333]) |
---|
| 486 | |
---|
| 487 | |
---|
| 488 | domain.compute_fluxes() |
---|
| 489 | |
---|
| 490 | #assert allclose(total_flux, domain.explicit_update[1,:]) |
---|
| 491 | for i, name in enumerate(['stage', 'xmomentum', 'ymomentum']): |
---|
| 492 | assert allclose(total_flux[i], |
---|
| 493 | domain.quantities[name].explicit_update[1]) |
---|
| 494 | |
---|
| 495 | #assert allclose(domain.explicit_update, [ |
---|
| 496 | # [0., -69.68888889, -69.68888889], |
---|
| 497 | # [-0.68218178, -166.6, -35.93333333], |
---|
| 498 | # [-111.77316251, 69.68888889, 0.], |
---|
| 499 | # [-35.68522449, 0., 69.68888889]]) |
---|
| 500 | |
---|
| 501 | assert allclose(domain.quantities['stage'].explicit_update, |
---|
| 502 | [0., -0.68218178, -111.77316251, -35.68522449]) |
---|
| 503 | assert allclose(domain.quantities['xmomentum'].explicit_update, |
---|
| 504 | [-69.68888889, -166.6, 69.68888889, 0]) |
---|
| 505 | assert allclose(domain.quantities['ymomentum'].explicit_update, |
---|
| 506 | [-69.68888889, -35.93333333, 0., 69.68888889]) |
---|
| 507 | |
---|
| 508 | |
---|
| 509 | #assert allclose(domain.quantities[name].explicit_update |
---|
| 510 | |
---|
| 511 | |
---|
| 512 | |
---|
| 513 | |
---|
| 514 | |
---|
| 515 | def test_compute_fluxes2(self): |
---|
| 516 | #Random values, incl momentum |
---|
| 517 | |
---|
| 518 | a = [0.0, 0.0] |
---|
| 519 | b = [0.0, 2.0] |
---|
| 520 | c = [2.0,0.0] |
---|
| 521 | d = [0.0, 4.0] |
---|
| 522 | e = [2.0, 2.0] |
---|
| 523 | f = [4.0,0.0] |
---|
| 524 | |
---|
| 525 | points = [a, b, c, d, e, f] |
---|
| 526 | #bac, bce, ecf, dbe |
---|
| 527 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 528 | |
---|
| 529 | domain = Domain(points, vertices) |
---|
| 530 | val0 = 2.+2.0/3 |
---|
| 531 | val1 = 4.+4.0/3 |
---|
| 532 | val2 = 8.+2.0/3 |
---|
| 533 | val3 = 2.+8.0/3 |
---|
| 534 | |
---|
| 535 | zl=zr=0 #Assume flat zero bed |
---|
| 536 | |
---|
| 537 | domain.set_quantity('elevation', zl*ones( (4,3) )) |
---|
| 538 | |
---|
| 539 | |
---|
| 540 | domain.set_quantity('stage', [[val0, val0-1, val0-2], |
---|
| 541 | [val1, val1+1, val1], |
---|
| 542 | [val2, val2-2, val2], |
---|
| 543 | [val3-0.5, val3, val3]]) |
---|
| 544 | |
---|
| 545 | domain.set_quantity('xmomentum', |
---|
| 546 | [[1, 2, 3], [3, 4, 5], |
---|
| 547 | [1, -1, 0], [0, -2, 2]]) |
---|
| 548 | |
---|
| 549 | domain.set_quantity('ymomentum', |
---|
| 550 | [[1, -1, 0], [0, -3, 2], |
---|
| 551 | [0, 1, 0], [-1, 2, 2]]) |
---|
| 552 | |
---|
| 553 | |
---|
| 554 | domain.check_integrity() |
---|
| 555 | |
---|
| 556 | |
---|
| 557 | |
---|
| 558 | #Flux across right edge of volume 1 |
---|
| 559 | normal = domain.get_normal(1,0) |
---|
| 560 | ql = domain.get_conserved_quantities(vol_id=1, edge=0) |
---|
| 561 | qr = domain.get_conserved_quantities(vol_id=2, edge=2) |
---|
| 562 | flux0, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 563 | |
---|
| 564 | #Flux across upper edge of volume 1 |
---|
| 565 | normal = domain.get_normal(1,1) |
---|
| 566 | ql = domain.get_conserved_quantities(vol_id=1, edge=1) |
---|
| 567 | qr = domain.get_conserved_quantities(vol_id=3, edge=0) |
---|
| 568 | flux1, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 569 | |
---|
| 570 | #Flux across lower left hypotenuse of volume 1 |
---|
| 571 | normal = domain.get_normal(1,2) |
---|
| 572 | ql = domain.get_conserved_quantities(vol_id=1, edge=2) |
---|
| 573 | qr = domain.get_conserved_quantities(vol_id=0, edge=1) |
---|
| 574 | flux2, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 575 | |
---|
| 576 | #Scale, add up and check that compute_fluxes is correct for vol 1 |
---|
| 577 | e0 = domain.edgelengths[1, 0] |
---|
| 578 | e1 = domain.edgelengths[1, 1] |
---|
| 579 | e2 = domain.edgelengths[1, 2] |
---|
| 580 | |
---|
| 581 | total_flux = -(e0*flux0+e1*flux1+e2*flux2)/domain.areas[1] |
---|
| 582 | |
---|
| 583 | |
---|
| 584 | domain.compute_fluxes() |
---|
| 585 | for i, name in enumerate(['stage', 'xmomentum', 'ymomentum']): |
---|
| 586 | assert allclose(total_flux[i], |
---|
| 587 | domain.quantities[name].explicit_update[1]) |
---|
| 588 | #assert allclose(total_flux, domain.explicit_update[1,:]) |
---|
| 589 | |
---|
| 590 | |
---|
| 591 | def test_compute_fluxes3(self): |
---|
| 592 | #Random values, incl momentum |
---|
| 593 | |
---|
| 594 | a = [0.0, 0.0] |
---|
| 595 | b = [0.0, 2.0] |
---|
| 596 | c = [2.0,0.0] |
---|
| 597 | d = [0.0, 4.0] |
---|
| 598 | e = [2.0, 2.0] |
---|
| 599 | f = [4.0,0.0] |
---|
| 600 | |
---|
| 601 | points = [a, b, c, d, e, f] |
---|
| 602 | #bac, bce, ecf, dbe |
---|
| 603 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 604 | |
---|
| 605 | domain = Domain(points, vertices) |
---|
| 606 | val0 = 2.+2.0/3 |
---|
| 607 | val1 = 4.+4.0/3 |
---|
| 608 | val2 = 8.+2.0/3 |
---|
| 609 | val3 = 2.+8.0/3 |
---|
| 610 | |
---|
| 611 | zl=zr=-3.75 #Assume constant bed (must be less than stage) |
---|
| 612 | domain.set_quantity('elevation', zl*ones( (4,3) )) |
---|
| 613 | |
---|
| 614 | |
---|
| 615 | domain.set_quantity('stage', [[val0, val0-1, val0-2], |
---|
| 616 | [val1, val1+1, val1], |
---|
| 617 | [val2, val2-2, val2], |
---|
| 618 | [val3-0.5, val3, val3]]) |
---|
| 619 | |
---|
| 620 | domain.set_quantity('xmomentum', |
---|
| 621 | [[1, 2, 3], [3, 4, 5], |
---|
| 622 | [1, -1, 0], [0, -2, 2]]) |
---|
| 623 | |
---|
| 624 | domain.set_quantity('ymomentum', |
---|
| 625 | [[1, -1, 0], [0, -3, 2], |
---|
| 626 | [0, 1, 0], [-1, 2, 2]]) |
---|
| 627 | |
---|
| 628 | |
---|
| 629 | domain.check_integrity() |
---|
| 630 | |
---|
| 631 | |
---|
| 632 | |
---|
| 633 | #Flux across right edge of volume 1 |
---|
| 634 | normal = domain.get_normal(1,0) |
---|
| 635 | ql = domain.get_conserved_quantities(vol_id=1, edge=0) |
---|
| 636 | qr = domain.get_conserved_quantities(vol_id=2, edge=2) |
---|
| 637 | flux0, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 638 | |
---|
| 639 | #Flux across upper edge of volume 1 |
---|
| 640 | normal = domain.get_normal(1,1) |
---|
| 641 | ql = domain.get_conserved_quantities(vol_id=1, edge=1) |
---|
| 642 | qr = domain.get_conserved_quantities(vol_id=3, edge=0) |
---|
| 643 | flux1, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 644 | |
---|
| 645 | #Flux across lower left hypotenuse of volume 1 |
---|
| 646 | normal = domain.get_normal(1,2) |
---|
| 647 | ql = domain.get_conserved_quantities(vol_id=1, edge=2) |
---|
| 648 | qr = domain.get_conserved_quantities(vol_id=0, edge=1) |
---|
| 649 | flux2, max_speed = flux_function(normal, ql, qr, zl, zr) |
---|
| 650 | |
---|
| 651 | #Scale, add up and check that compute_fluxes is correct for vol 1 |
---|
| 652 | e0 = domain.edgelengths[1, 0] |
---|
| 653 | e1 = domain.edgelengths[1, 1] |
---|
| 654 | e2 = domain.edgelengths[1, 2] |
---|
| 655 | |
---|
| 656 | total_flux = -(e0*flux0+e1*flux1+e2*flux2)/domain.areas[1] |
---|
| 657 | |
---|
| 658 | domain.compute_fluxes() |
---|
| 659 | for i, name in enumerate(['stage', 'xmomentum', 'ymomentum']): |
---|
| 660 | assert allclose(total_flux[i], |
---|
| 661 | domain.quantities[name].explicit_update[1]) |
---|
| 662 | |
---|
| 663 | |
---|
| 664 | |
---|
| 665 | def test_catching_negative_heights(self): |
---|
| 666 | |
---|
| 667 | a = [0.0, 0.0] |
---|
| 668 | b = [0.0, 2.0] |
---|
| 669 | c = [2.0,0.0] |
---|
| 670 | d = [0.0, 4.0] |
---|
| 671 | e = [2.0, 2.0] |
---|
| 672 | f = [4.0,0.0] |
---|
| 673 | |
---|
| 674 | points = [a, b, c, d, e, f] |
---|
| 675 | #bac, bce, ecf, dbe |
---|
| 676 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 677 | |
---|
| 678 | domain = Domain(points, vertices) |
---|
| 679 | val0 = 2.+2.0/3 |
---|
| 680 | val1 = 4.+4.0/3 |
---|
| 681 | val2 = 8.+2.0/3 |
---|
| 682 | val3 = 2.+8.0/3 |
---|
| 683 | |
---|
| 684 | zl=zr=4 #Too large |
---|
| 685 | domain.set_quantity('elevation', zl*ones( (4,3) )) |
---|
| 686 | domain.set_quantity('stage', [[val0, val0-1, val0-2], |
---|
| 687 | [val1, val1+1, val1], |
---|
| 688 | [val2, val2-2, val2], |
---|
| 689 | [val3-0.5, val3, val3]]) |
---|
| 690 | |
---|
| 691 | #Should fail |
---|
| 692 | try: |
---|
| 693 | domain.check_integrity() |
---|
| 694 | except: |
---|
| 695 | pass |
---|
| 696 | |
---|
| 697 | |
---|
| 698 | |
---|
| 699 | |
---|
| 700 | ##################################################### |
---|
| 701 | def test_initial_condition(self): |
---|
| 702 | """Test that initial condition is output at time == 0 |
---|
| 703 | """ |
---|
| 704 | |
---|
| 705 | from config import g |
---|
| 706 | import copy |
---|
| 707 | |
---|
| 708 | a = [0.0, 0.0] |
---|
| 709 | b = [0.0, 2.0] |
---|
| 710 | c = [2.0, 0.0] |
---|
| 711 | d = [0.0, 4.0] |
---|
| 712 | e = [2.0, 2.0] |
---|
| 713 | f = [4.0, 0.0] |
---|
| 714 | |
---|
| 715 | points = [a, b, c, d, e, f] |
---|
| 716 | #bac, bce, ecf, dbe |
---|
| 717 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 718 | |
---|
| 719 | domain = Domain(points, vertices) |
---|
| 720 | |
---|
| 721 | #Set up for a gradient of (3,0) at mid triangle |
---|
| 722 | def slope(x, y): |
---|
| 723 | return 3*x |
---|
| 724 | |
---|
| 725 | h = 0.1 |
---|
| 726 | def stage(x,y): |
---|
| 727 | return slope(x,y)+h |
---|
| 728 | |
---|
| 729 | domain.set_quantity('elevation', slope) |
---|
| 730 | domain.set_quantity('stage', stage) |
---|
| 731 | |
---|
| 732 | initial_stage = copy.copy(domain.quantities['stage'].vertex_values) |
---|
| 733 | |
---|
| 734 | domain.set_boundary({'exterior': Reflective_boundary(domain)}) |
---|
| 735 | |
---|
| 736 | #Evolution |
---|
| 737 | for t in domain.evolve(yieldstep = 1.0, finaltime = 2.0): |
---|
| 738 | stage = domain.quantities['stage'].vertex_values |
---|
| 739 | |
---|
| 740 | if t == 0.0: |
---|
| 741 | assert allclose(stage, initial_stage) |
---|
| 742 | else: |
---|
| 743 | assert not allclose(stage, initial_stage) |
---|
| 744 | |
---|
| 745 | os.remove(domain.filename + '.sww') |
---|
| 746 | |
---|
| 747 | |
---|
| 748 | |
---|
| 749 | ##################################################### |
---|
| 750 | def test_gravity(self): |
---|
| 751 | #Assuming no friction |
---|
| 752 | |
---|
| 753 | from config import g |
---|
| 754 | |
---|
| 755 | a = [0.0, 0.0] |
---|
| 756 | b = [0.0, 2.0] |
---|
| 757 | c = [2.0, 0.0] |
---|
| 758 | d = [0.0, 4.0] |
---|
| 759 | e = [2.0, 2.0] |
---|
| 760 | f = [4.0, 0.0] |
---|
| 761 | |
---|
| 762 | points = [a, b, c, d, e, f] |
---|
| 763 | #bac, bce, ecf, dbe |
---|
| 764 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 765 | |
---|
| 766 | domain = Domain(points, vertices) |
---|
| 767 | |
---|
| 768 | #Set up for a gradient of (3,0) at mid triangle |
---|
| 769 | def slope(x, y): |
---|
| 770 | return 3*x |
---|
| 771 | |
---|
| 772 | h = 0.1 |
---|
| 773 | def stage(x,y): |
---|
| 774 | return slope(x,y)+h |
---|
| 775 | |
---|
| 776 | domain.set_quantity('elevation', slope) |
---|
| 777 | domain.set_quantity('stage', stage) |
---|
| 778 | |
---|
| 779 | for name in domain.conserved_quantities: |
---|
| 780 | assert allclose(domain.quantities[name].explicit_update, 0) |
---|
| 781 | assert allclose(domain.quantities[name].semi_implicit_update, 0) |
---|
| 782 | |
---|
| 783 | domain.compute_forcing_terms() |
---|
| 784 | |
---|
| 785 | assert allclose(domain.quantities['stage'].explicit_update, 0) |
---|
| 786 | assert allclose(domain.quantities['xmomentum'].explicit_update, -g*h*3) |
---|
| 787 | assert allclose(domain.quantities['ymomentum'].explicit_update, 0) |
---|
| 788 | |
---|
| 789 | |
---|
| 790 | def test_manning_friction(self): |
---|
| 791 | from config import g |
---|
| 792 | |
---|
| 793 | a = [0.0, 0.0] |
---|
| 794 | b = [0.0, 2.0] |
---|
| 795 | c = [2.0, 0.0] |
---|
| 796 | d = [0.0, 4.0] |
---|
| 797 | e = [2.0, 2.0] |
---|
| 798 | f = [4.0, 0.0] |
---|
| 799 | |
---|
| 800 | points = [a, b, c, d, e, f] |
---|
| 801 | #bac, bce, ecf, dbe |
---|
| 802 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 803 | |
---|
| 804 | domain = Domain(points, vertices) |
---|
| 805 | |
---|
| 806 | #Set up for a gradient of (3,0) at mid triangle |
---|
| 807 | def slope(x, y): |
---|
| 808 | return 3*x |
---|
| 809 | |
---|
| 810 | h = 0.1 |
---|
| 811 | def stage(x,y): |
---|
| 812 | return slope(x,y)+h |
---|
| 813 | |
---|
| 814 | eta = 0.07 |
---|
| 815 | domain.set_quantity('elevation', slope) |
---|
| 816 | domain.set_quantity('stage', stage) |
---|
| 817 | domain.set_quantity('friction', eta) |
---|
| 818 | |
---|
| 819 | for name in domain.conserved_quantities: |
---|
| 820 | assert allclose(domain.quantities[name].explicit_update, 0) |
---|
| 821 | assert allclose(domain.quantities[name].semi_implicit_update, 0) |
---|
| 822 | |
---|
| 823 | domain.compute_forcing_terms() |
---|
| 824 | |
---|
| 825 | assert allclose(domain.quantities['stage'].explicit_update, 0) |
---|
| 826 | assert allclose(domain.quantities['xmomentum'].explicit_update, -g*h*3) |
---|
| 827 | assert allclose(domain.quantities['ymomentum'].explicit_update, 0) |
---|
| 828 | |
---|
| 829 | assert allclose(domain.quantities['stage'].semi_implicit_update, 0) |
---|
| 830 | assert allclose(domain.quantities['xmomentum'].semi_implicit_update, 0) |
---|
| 831 | assert allclose(domain.quantities['ymomentum'].semi_implicit_update, 0) |
---|
| 832 | |
---|
| 833 | #Create some momentum for friction to work with |
---|
| 834 | domain.set_quantity('xmomentum', 1) |
---|
| 835 | S = -g * eta**2 / h**(7.0/3) |
---|
| 836 | |
---|
| 837 | domain.compute_forcing_terms() |
---|
| 838 | assert allclose(domain.quantities['stage'].semi_implicit_update, 0) |
---|
| 839 | assert allclose(domain.quantities['xmomentum'].semi_implicit_update, S) |
---|
| 840 | assert allclose(domain.quantities['ymomentum'].semi_implicit_update, 0) |
---|
| 841 | |
---|
| 842 | #A more complex example |
---|
| 843 | domain.quantities['stage'].semi_implicit_update[:] = 0.0 |
---|
| 844 | domain.quantities['xmomentum'].semi_implicit_update[:] = 0.0 |
---|
| 845 | domain.quantities['ymomentum'].semi_implicit_update[:] = 0.0 |
---|
| 846 | |
---|
| 847 | domain.set_quantity('xmomentum', 3) |
---|
| 848 | domain.set_quantity('ymomentum', 4) |
---|
| 849 | |
---|
| 850 | S = -g * eta**2 * 5 / h**(7.0/3) |
---|
| 851 | |
---|
| 852 | |
---|
| 853 | domain.compute_forcing_terms() |
---|
| 854 | |
---|
| 855 | assert allclose(domain.quantities['stage'].semi_implicit_update, 0) |
---|
| 856 | assert allclose(domain.quantities['xmomentum'].semi_implicit_update, 3*S) |
---|
| 857 | assert allclose(domain.quantities['ymomentum'].semi_implicit_update, 4*S) |
---|
| 858 | |
---|
| 859 | def test_constant_wind_stress(self): |
---|
| 860 | from config import rho_a, rho_w, eta_w |
---|
| 861 | from math import pi, cos, sin, sqrt |
---|
| 862 | |
---|
| 863 | a = [0.0, 0.0] |
---|
| 864 | b = [0.0, 2.0] |
---|
| 865 | c = [2.0, 0.0] |
---|
| 866 | d = [0.0, 4.0] |
---|
| 867 | e = [2.0, 2.0] |
---|
| 868 | f = [4.0, 0.0] |
---|
| 869 | |
---|
| 870 | points = [a, b, c, d, e, f] |
---|
| 871 | #bac, bce, ecf, dbe |
---|
| 872 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 873 | |
---|
| 874 | |
---|
| 875 | domain = Domain(points, vertices) |
---|
| 876 | |
---|
| 877 | #Flat surface with 1m of water |
---|
| 878 | domain.set_quantity('elevation', 0) |
---|
| 879 | domain.set_quantity('stage', 1.0) |
---|
| 880 | domain.set_quantity('friction', 0) |
---|
| 881 | |
---|
| 882 | Br = Reflective_boundary(domain) |
---|
| 883 | domain.set_boundary({'exterior': Br}) |
---|
| 884 | |
---|
| 885 | #Setup only one forcing term, constant wind stress |
---|
| 886 | s = 100 |
---|
| 887 | phi = 135 |
---|
| 888 | domain.forcing_terms = [] |
---|
| 889 | domain.forcing_terms.append( Wind_stress(s, phi) ) |
---|
| 890 | |
---|
| 891 | domain.compute_forcing_terms() |
---|
| 892 | |
---|
| 893 | |
---|
| 894 | const = eta_w*rho_a/rho_w |
---|
| 895 | |
---|
| 896 | #Convert to radians |
---|
| 897 | phi = phi*pi/180 |
---|
| 898 | |
---|
| 899 | #Compute velocity vector (u, v) |
---|
| 900 | u = s*cos(phi) |
---|
| 901 | v = s*sin(phi) |
---|
| 902 | |
---|
| 903 | #Compute wind stress |
---|
| 904 | S = const * sqrt(u**2 + v**2) |
---|
| 905 | |
---|
| 906 | assert allclose(domain.quantities['stage'].explicit_update, 0) |
---|
| 907 | assert allclose(domain.quantities['xmomentum'].explicit_update, S*u) |
---|
| 908 | assert allclose(domain.quantities['ymomentum'].explicit_update, S*v) |
---|
| 909 | |
---|
| 910 | |
---|
| 911 | def test_variable_wind_stress(self): |
---|
| 912 | from config import rho_a, rho_w, eta_w |
---|
| 913 | from math import pi, cos, sin, sqrt |
---|
| 914 | |
---|
| 915 | a = [0.0, 0.0] |
---|
| 916 | b = [0.0, 2.0] |
---|
| 917 | c = [2.0, 0.0] |
---|
| 918 | d = [0.0, 4.0] |
---|
| 919 | e = [2.0, 2.0] |
---|
| 920 | f = [4.0, 0.0] |
---|
| 921 | |
---|
| 922 | points = [a, b, c, d, e, f] |
---|
| 923 | #bac, bce, ecf, dbe |
---|
| 924 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 925 | |
---|
| 926 | domain = Domain(points, vertices) |
---|
| 927 | |
---|
| 928 | #Flat surface with 1m of water |
---|
| 929 | domain.set_quantity('elevation', 0) |
---|
| 930 | domain.set_quantity('stage', 1.0) |
---|
| 931 | domain.set_quantity('friction', 0) |
---|
| 932 | |
---|
| 933 | Br = Reflective_boundary(domain) |
---|
| 934 | domain.set_boundary({'exterior': Br}) |
---|
| 935 | |
---|
| 936 | |
---|
| 937 | domain.time = 5.54 #Take a random time (not zero) |
---|
| 938 | |
---|
| 939 | #Setup only one forcing term, constant wind stress |
---|
| 940 | s = 100 |
---|
| 941 | phi = 135 |
---|
| 942 | domain.forcing_terms = [] |
---|
| 943 | domain.forcing_terms.append( Wind_stress(s = speed, phi = angle) ) |
---|
| 944 | |
---|
| 945 | domain.compute_forcing_terms() |
---|
| 946 | |
---|
| 947 | #Compute reference solution |
---|
| 948 | const = eta_w*rho_a/rho_w |
---|
| 949 | |
---|
| 950 | N = domain.number_of_elements |
---|
| 951 | |
---|
| 952 | xc = domain.get_centroid_coordinates() |
---|
| 953 | t = domain.time |
---|
| 954 | |
---|
| 955 | x = xc[:,0] |
---|
| 956 | y = xc[:,1] |
---|
| 957 | s_vec = speed(t,x,y) |
---|
| 958 | phi_vec = angle(t,x,y) |
---|
| 959 | |
---|
| 960 | |
---|
| 961 | for k in range(N): |
---|
| 962 | #Convert to radians |
---|
| 963 | phi = phi_vec[k]*pi/180 |
---|
| 964 | s = s_vec[k] |
---|
| 965 | |
---|
| 966 | #Compute velocity vector (u, v) |
---|
| 967 | u = s*cos(phi) |
---|
| 968 | v = s*sin(phi) |
---|
| 969 | |
---|
| 970 | #Compute wind stress |
---|
| 971 | S = const * sqrt(u**2 + v**2) |
---|
| 972 | |
---|
| 973 | assert allclose(domain.quantities['stage'].explicit_update[k], 0) |
---|
| 974 | assert allclose(domain.quantities['xmomentum'].explicit_update[k], S*u) |
---|
| 975 | assert allclose(domain.quantities['ymomentum'].explicit_update[k], S*v) |
---|
| 976 | |
---|
| 977 | |
---|
| 978 | |
---|
| 979 | |
---|
| 980 | def test_windfield_from_file(self): |
---|
| 981 | from config import rho_a, rho_w, eta_w |
---|
| 982 | from math import pi, cos, sin, sqrt |
---|
| 983 | from config import time_format |
---|
| 984 | from util import file_function |
---|
| 985 | import time |
---|
| 986 | |
---|
| 987 | |
---|
| 988 | a = [0.0, 0.0] |
---|
| 989 | b = [0.0, 2.0] |
---|
| 990 | c = [2.0, 0.0] |
---|
| 991 | d = [0.0, 4.0] |
---|
| 992 | e = [2.0, 2.0] |
---|
| 993 | f = [4.0, 0.0] |
---|
| 994 | |
---|
| 995 | points = [a, b, c, d, e, f] |
---|
| 996 | #bac, bce, ecf, dbe |
---|
| 997 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 998 | |
---|
| 999 | domain = Domain(points, vertices) |
---|
| 1000 | |
---|
| 1001 | #Flat surface with 1m of water |
---|
| 1002 | domain.set_quantity('elevation', 0) |
---|
| 1003 | domain.set_quantity('stage', 1.0) |
---|
| 1004 | domain.set_quantity('friction', 0) |
---|
| 1005 | |
---|
| 1006 | Br = Reflective_boundary(domain) |
---|
| 1007 | domain.set_boundary({'exterior': Br}) |
---|
| 1008 | |
---|
| 1009 | |
---|
| 1010 | domain.time = 7 #Take a time that is represented in file (not zero) |
---|
| 1011 | |
---|
| 1012 | #Write wind stress file (ensure that domain.time is covered) |
---|
| 1013 | #Take x=1 and y=0 |
---|
| 1014 | filename = 'test_windstress_from_file' |
---|
| 1015 | start = time.mktime(time.strptime('2000', '%Y')) |
---|
| 1016 | fid = open(filename + '.txt', 'w') |
---|
| 1017 | dt = 1 #One second interval |
---|
| 1018 | t = 0.0 |
---|
| 1019 | while t <= 10.0: |
---|
| 1020 | t_string = time.strftime(time_format, time.gmtime(t+start)) |
---|
| 1021 | |
---|
| 1022 | fid.write('%s, %f %f\n' %(t_string, |
---|
| 1023 | speed(t,[1],[0])[0], |
---|
| 1024 | angle(t,[1],[0])[0])) |
---|
| 1025 | t += dt |
---|
| 1026 | |
---|
| 1027 | fid.close() |
---|
| 1028 | |
---|
| 1029 | |
---|
| 1030 | #Convert ASCII file to NetCDF (Which is what we really like!) |
---|
| 1031 | from data_manager import timefile2netcdf |
---|
| 1032 | timefile2netcdf(filename) |
---|
| 1033 | os.remove(filename + '.txt') |
---|
| 1034 | |
---|
| 1035 | |
---|
| 1036 | #Setup wind stress |
---|
| 1037 | F = file_function(filename + '.tms', quantities = ['Attribute0', |
---|
| 1038 | 'Attribute1']) |
---|
| 1039 | os.remove(filename + '.tms') |
---|
| 1040 | |
---|
| 1041 | |
---|
| 1042 | #print 'F(5)', F(5) |
---|
| 1043 | |
---|
| 1044 | #print 'F(5,x,y)', F(5,x=zeros(3),y=zeros(3)) |
---|
| 1045 | |
---|
| 1046 | #print dir(F) |
---|
| 1047 | #print F.T |
---|
| 1048 | #print F.precomputed_values |
---|
| 1049 | # |
---|
| 1050 | #F = file_function(filename + '.txt') |
---|
| 1051 | # |
---|
| 1052 | #print dir(F) |
---|
| 1053 | #print F.T |
---|
| 1054 | #print F.Q |
---|
| 1055 | |
---|
| 1056 | W = Wind_stress(F) |
---|
| 1057 | |
---|
| 1058 | domain.forcing_terms = [] |
---|
| 1059 | domain.forcing_terms.append(W) |
---|
| 1060 | |
---|
| 1061 | domain.compute_forcing_terms() |
---|
| 1062 | |
---|
| 1063 | #Compute reference solution |
---|
| 1064 | const = eta_w*rho_a/rho_w |
---|
| 1065 | |
---|
| 1066 | N = domain.number_of_elements |
---|
| 1067 | |
---|
| 1068 | t = domain.time |
---|
| 1069 | |
---|
| 1070 | s = speed(t,[1],[0])[0] |
---|
| 1071 | phi = angle(t,[1],[0])[0] |
---|
| 1072 | |
---|
| 1073 | #Convert to radians |
---|
| 1074 | phi = phi*pi/180 |
---|
| 1075 | |
---|
| 1076 | |
---|
| 1077 | #Compute velocity vector (u, v) |
---|
| 1078 | u = s*cos(phi) |
---|
| 1079 | v = s*sin(phi) |
---|
| 1080 | |
---|
| 1081 | #Compute wind stress |
---|
| 1082 | S = const * sqrt(u**2 + v**2) |
---|
| 1083 | |
---|
| 1084 | for k in range(N): |
---|
| 1085 | assert allclose(domain.quantities['stage'].explicit_update[k], 0) |
---|
| 1086 | assert allclose(domain.quantities['xmomentum'].explicit_update[k], S*u) |
---|
| 1087 | assert allclose(domain.quantities['ymomentum'].explicit_update[k], S*v) |
---|
| 1088 | |
---|
| 1089 | |
---|
| 1090 | |
---|
| 1091 | |
---|
| 1092 | def test_wind_stress_error_condition(self): |
---|
| 1093 | """Test that windstress reacts properly when forcing functions |
---|
| 1094 | are wrong - e.g. returns a scalar |
---|
| 1095 | """ |
---|
| 1096 | |
---|
| 1097 | from config import rho_a, rho_w, eta_w |
---|
| 1098 | from math import pi, cos, sin, sqrt |
---|
| 1099 | |
---|
| 1100 | a = [0.0, 0.0] |
---|
| 1101 | b = [0.0, 2.0] |
---|
| 1102 | c = [2.0, 0.0] |
---|
| 1103 | d = [0.0, 4.0] |
---|
| 1104 | e = [2.0, 2.0] |
---|
| 1105 | f = [4.0, 0.0] |
---|
| 1106 | |
---|
| 1107 | points = [a, b, c, d, e, f] |
---|
| 1108 | #bac, bce, ecf, dbe |
---|
| 1109 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1110 | |
---|
| 1111 | domain = Domain(points, vertices) |
---|
| 1112 | |
---|
| 1113 | #Flat surface with 1m of water |
---|
| 1114 | domain.set_quantity('elevation', 0) |
---|
| 1115 | domain.set_quantity('stage', 1.0) |
---|
| 1116 | domain.set_quantity('friction', 0) |
---|
| 1117 | |
---|
| 1118 | Br = Reflective_boundary(domain) |
---|
| 1119 | domain.set_boundary({'exterior': Br}) |
---|
| 1120 | |
---|
| 1121 | |
---|
| 1122 | domain.time = 5.54 #Take a random time (not zero) |
---|
| 1123 | |
---|
| 1124 | #Setup only one forcing term, bad func |
---|
| 1125 | domain.forcing_terms = [] |
---|
| 1126 | |
---|
| 1127 | try: |
---|
| 1128 | domain.forcing_terms.append(Wind_stress(s = scalar_func, |
---|
| 1129 | phi = angle)) |
---|
| 1130 | except AssertionError: |
---|
| 1131 | pass |
---|
| 1132 | else: |
---|
| 1133 | msg = 'Should have raised exception' |
---|
| 1134 | raise msg |
---|
| 1135 | |
---|
| 1136 | |
---|
| 1137 | try: |
---|
| 1138 | domain.forcing_terms.append(Wind_stress(s = speed, |
---|
| 1139 | phi = scalar_func)) |
---|
| 1140 | except AssertionError: |
---|
| 1141 | pass |
---|
| 1142 | else: |
---|
| 1143 | msg = 'Should have raised exception' |
---|
| 1144 | raise msg |
---|
| 1145 | |
---|
| 1146 | try: |
---|
| 1147 | domain.forcing_terms.append(Wind_stress(s = speed, |
---|
| 1148 | phi = 'xx')) |
---|
| 1149 | except: |
---|
| 1150 | pass |
---|
| 1151 | else: |
---|
| 1152 | msg = 'Should have raised exception' |
---|
| 1153 | raise msg |
---|
| 1154 | |
---|
| 1155 | |
---|
| 1156 | ##################################################### |
---|
| 1157 | def test_first_order_extrapolator_const_z(self): |
---|
| 1158 | |
---|
| 1159 | a = [0.0, 0.0] |
---|
| 1160 | b = [0.0, 2.0] |
---|
| 1161 | c = [2.0, 0.0] |
---|
| 1162 | d = [0.0, 4.0] |
---|
| 1163 | e = [2.0, 2.0] |
---|
| 1164 | f = [4.0, 0.0] |
---|
| 1165 | |
---|
| 1166 | points = [a, b, c, d, e, f] |
---|
| 1167 | #bac, bce, ecf, dbe |
---|
| 1168 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1169 | |
---|
| 1170 | domain = Domain(points, vertices) |
---|
| 1171 | val0 = 2.+2.0/3 |
---|
| 1172 | val1 = 4.+4.0/3 |
---|
| 1173 | val2 = 8.+2.0/3 |
---|
| 1174 | val3 = 2.+8.0/3 |
---|
| 1175 | |
---|
| 1176 | zl=zr=-3.75 #Assume constant bed (must be less than stage) |
---|
| 1177 | domain.set_quantity('elevation', zl*ones( (4,3) )) |
---|
| 1178 | domain.set_quantity('stage', [[val0, val0-1, val0-2], |
---|
| 1179 | [val1, val1+1, val1], |
---|
| 1180 | [val2, val2-2, val2], |
---|
| 1181 | [val3-0.5, val3, val3]]) |
---|
| 1182 | |
---|
| 1183 | |
---|
| 1184 | |
---|
| 1185 | domain.order = 1 |
---|
| 1186 | domain.distribute_to_vertices_and_edges() |
---|
| 1187 | |
---|
| 1188 | #Check that centroid values were distributed to vertices |
---|
| 1189 | C = domain.quantities['stage'].centroid_values |
---|
| 1190 | for i in range(3): |
---|
| 1191 | assert allclose( domain.quantities['stage'].vertex_values[:,i], C) |
---|
| 1192 | |
---|
| 1193 | |
---|
| 1194 | def test_first_order_limiter_variable_z(self): |
---|
| 1195 | #Check that first order limiter follows bed_slope |
---|
| 1196 | from Numeric import alltrue, greater_equal |
---|
| 1197 | from config import epsilon |
---|
| 1198 | |
---|
| 1199 | a = [0.0, 0.0] |
---|
| 1200 | b = [0.0, 2.0] |
---|
| 1201 | c = [2.0,0.0] |
---|
| 1202 | d = [0.0, 4.0] |
---|
| 1203 | e = [2.0, 2.0] |
---|
| 1204 | f = [4.0,0.0] |
---|
| 1205 | |
---|
| 1206 | points = [a, b, c, d, e, f] |
---|
| 1207 | #bac, bce, ecf, dbe |
---|
| 1208 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1209 | |
---|
| 1210 | domain = Domain(points, vertices) |
---|
| 1211 | val0 = 2.+2.0/3 |
---|
| 1212 | val1 = 4.+4.0/3 |
---|
| 1213 | val2 = 8.+2.0/3 |
---|
| 1214 | val3 = 2.+8.0/3 |
---|
| 1215 | |
---|
| 1216 | domain.set_quantity('elevation', [[0,0,0], [6,0,0], |
---|
| 1217 | [6,6,6], [6,6,6]]) |
---|
| 1218 | domain.set_quantity('stage', [[val0, val0, val0], |
---|
| 1219 | [val1, val1, val1], |
---|
| 1220 | [val2, val2, val2], |
---|
| 1221 | [val3, val3, val3]]) |
---|
| 1222 | |
---|
| 1223 | E = domain.quantities['elevation'].vertex_values |
---|
| 1224 | L = domain.quantities['stage'].vertex_values |
---|
| 1225 | |
---|
| 1226 | |
---|
| 1227 | #Check that some stages are not above elevation (within eps) |
---|
| 1228 | #- so that the limiter has something to work with |
---|
| 1229 | assert not alltrue(alltrue(greater_equal(L,E-epsilon))) |
---|
| 1230 | |
---|
| 1231 | domain.order = 1 |
---|
| 1232 | domain.distribute_to_vertices_and_edges() |
---|
| 1233 | |
---|
| 1234 | #Check that all stages are above elevation (within eps) |
---|
| 1235 | assert alltrue(alltrue(greater_equal(L,E-epsilon))) |
---|
| 1236 | |
---|
| 1237 | |
---|
| 1238 | ##################################################### |
---|
| 1239 | def test_distribute_basic(self): |
---|
| 1240 | #Using test data generated by pyvolution-2 |
---|
| 1241 | #Assuming no friction and flat bed (0.0) |
---|
| 1242 | |
---|
| 1243 | a = [0.0, 0.0] |
---|
| 1244 | b = [0.0, 2.0] |
---|
| 1245 | c = [2.0, 0.0] |
---|
| 1246 | d = [0.0, 4.0] |
---|
| 1247 | e = [2.0, 2.0] |
---|
| 1248 | f = [4.0, 0.0] |
---|
| 1249 | |
---|
| 1250 | points = [a, b, c, d, e, f] |
---|
| 1251 | #bac, bce, ecf, dbe |
---|
| 1252 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1253 | |
---|
| 1254 | domain = Domain(points, vertices) |
---|
| 1255 | |
---|
| 1256 | val0 = 2. |
---|
| 1257 | val1 = 4. |
---|
| 1258 | val2 = 8. |
---|
| 1259 | val3 = 2. |
---|
| 1260 | |
---|
| 1261 | domain.set_quantity('stage', [val0, val1, val2, val3], |
---|
| 1262 | location='centroids') |
---|
| 1263 | L = domain.quantities['stage'].vertex_values |
---|
| 1264 | |
---|
| 1265 | #First order |
---|
| 1266 | domain.order = 1 |
---|
| 1267 | domain.distribute_to_vertices_and_edges() |
---|
| 1268 | assert allclose(L[1], val1) |
---|
| 1269 | |
---|
| 1270 | #Second order |
---|
| 1271 | domain.order = 2 |
---|
| 1272 | domain.distribute_to_vertices_and_edges() |
---|
| 1273 | assert allclose(L[1], [2.2, 4.9, 4.9]) |
---|
| 1274 | |
---|
| 1275 | |
---|
| 1276 | |
---|
| 1277 | def test_distribute_away_from_bed(self): |
---|
| 1278 | #Using test data generated by pyvolution-2 |
---|
| 1279 | #Assuming no friction and flat bed (0.0) |
---|
| 1280 | |
---|
| 1281 | a = [0.0, 0.0] |
---|
| 1282 | b = [0.0, 2.0] |
---|
| 1283 | c = [2.0, 0.0] |
---|
| 1284 | d = [0.0, 4.0] |
---|
| 1285 | e = [2.0, 2.0] |
---|
| 1286 | f = [4.0, 0.0] |
---|
| 1287 | |
---|
| 1288 | points = [a, b, c, d, e, f] |
---|
| 1289 | #bac, bce, ecf, dbe |
---|
| 1290 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1291 | |
---|
| 1292 | domain = Domain(points, vertices) |
---|
| 1293 | L = domain.quantities['stage'].vertex_values |
---|
| 1294 | |
---|
| 1295 | def stage(x,y): |
---|
| 1296 | return x**2 |
---|
| 1297 | |
---|
| 1298 | domain.set_quantity('stage', stage, location='centroids') |
---|
| 1299 | |
---|
| 1300 | a, b = domain.quantities['stage'].compute_gradients() |
---|
| 1301 | assert allclose(a[1], 3.33333334) |
---|
| 1302 | assert allclose(b[1], 0.0) |
---|
| 1303 | |
---|
| 1304 | domain.order = 1 |
---|
| 1305 | domain.distribute_to_vertices_and_edges() |
---|
| 1306 | assert allclose(L[1], 1.77777778) |
---|
| 1307 | |
---|
| 1308 | domain.order = 2 |
---|
| 1309 | domain.distribute_to_vertices_and_edges() |
---|
| 1310 | assert allclose(L[1], [0.57777777, 2.37777778, 2.37777778]) |
---|
| 1311 | |
---|
| 1312 | |
---|
| 1313 | |
---|
| 1314 | def test_distribute_away_from_bed1(self): |
---|
| 1315 | #Using test data generated by pyvolution-2 |
---|
| 1316 | #Assuming no friction and flat bed (0.0) |
---|
| 1317 | |
---|
| 1318 | a = [0.0, 0.0] |
---|
| 1319 | b = [0.0, 2.0] |
---|
| 1320 | c = [2.0, 0.0] |
---|
| 1321 | d = [0.0, 4.0] |
---|
| 1322 | e = [2.0, 2.0] |
---|
| 1323 | f = [4.0, 0.0] |
---|
| 1324 | |
---|
| 1325 | points = [a, b, c, d, e, f] |
---|
| 1326 | #bac, bce, ecf, dbe |
---|
| 1327 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1328 | |
---|
| 1329 | domain = Domain(points, vertices) |
---|
| 1330 | L = domain.quantities['stage'].vertex_values |
---|
| 1331 | |
---|
| 1332 | def stage(x,y): |
---|
| 1333 | return x**4+y**2 |
---|
| 1334 | |
---|
| 1335 | domain.set_quantity('stage', stage, location='centroids') |
---|
| 1336 | #print domain.quantities['stage'].centroid_values |
---|
| 1337 | |
---|
| 1338 | a, b = domain.quantities['stage'].compute_gradients() |
---|
| 1339 | assert allclose(a[1], 25.18518519) |
---|
| 1340 | assert allclose(b[1], 3.33333333) |
---|
| 1341 | |
---|
| 1342 | domain.order = 1 |
---|
| 1343 | domain.distribute_to_vertices_and_edges() |
---|
| 1344 | assert allclose(L[1], 4.9382716) |
---|
| 1345 | |
---|
| 1346 | domain.order = 2 |
---|
| 1347 | domain.distribute_to_vertices_and_edges() |
---|
| 1348 | assert allclose(L[1], [1.07160494, 6.46058131, 7.28262855]) |
---|
| 1349 | |
---|
| 1350 | |
---|
| 1351 | |
---|
| 1352 | def test_distribute_near_bed(self): |
---|
| 1353 | #Using test data generated by pyvolution-2 |
---|
| 1354 | #Assuming no friction and flat bed (0.0) |
---|
| 1355 | |
---|
| 1356 | a = [0.0, 0.0] |
---|
| 1357 | b = [0.0, 2.0] |
---|
| 1358 | c = [2.0, 0.0] |
---|
| 1359 | d = [0.0, 4.0] |
---|
| 1360 | e = [2.0, 2.0] |
---|
| 1361 | f = [4.0, 0.0] |
---|
| 1362 | |
---|
| 1363 | points = [a, b, c, d, e, f] |
---|
| 1364 | #bac, bce, ecf, dbe |
---|
| 1365 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1366 | |
---|
| 1367 | domain = Domain(points, vertices) |
---|
| 1368 | |
---|
| 1369 | |
---|
| 1370 | #Set up for a gradient of (3,0) at mid triangle |
---|
| 1371 | def slope(x, y): |
---|
| 1372 | return 10*x |
---|
| 1373 | |
---|
| 1374 | h = 0.1 |
---|
| 1375 | def stage(x,y): |
---|
| 1376 | return slope(x,y)+h |
---|
| 1377 | |
---|
| 1378 | domain.set_quantity('elevation', slope) |
---|
| 1379 | domain.set_quantity('stage', stage, location='centroids') |
---|
| 1380 | |
---|
| 1381 | #print domain.quantities['elevation'].centroid_values |
---|
| 1382 | #print domain.quantities['stage'].centroid_values |
---|
| 1383 | |
---|
| 1384 | E = domain.quantities['elevation'].vertex_values |
---|
| 1385 | L = domain.quantities['stage'].vertex_values |
---|
| 1386 | |
---|
| 1387 | #print E |
---|
| 1388 | domain.order = 1 |
---|
| 1389 | domain.distribute_to_vertices_and_edges() |
---|
| 1390 | ##assert allclose(L[1], [0.19999999, 20.05, 20.05]) |
---|
| 1391 | assert allclose(L[1], [0.1, 20.1, 20.1]) |
---|
| 1392 | |
---|
| 1393 | domain.order = 2 |
---|
| 1394 | domain.distribute_to_vertices_and_edges() |
---|
| 1395 | assert allclose(L[1], [0.1, 20.1, 20.1]) |
---|
| 1396 | |
---|
| 1397 | def test_distribute_near_bed1(self): |
---|
| 1398 | #Using test data generated by pyvolution-2 |
---|
| 1399 | #Assuming no friction and flat bed (0.0) |
---|
| 1400 | |
---|
| 1401 | a = [0.0, 0.0] |
---|
| 1402 | b = [0.0, 2.0] |
---|
| 1403 | c = [2.0, 0.0] |
---|
| 1404 | d = [0.0, 4.0] |
---|
| 1405 | e = [2.0, 2.0] |
---|
| 1406 | f = [4.0, 0.0] |
---|
| 1407 | |
---|
| 1408 | points = [a, b, c, d, e, f] |
---|
| 1409 | #bac, bce, ecf, dbe |
---|
| 1410 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
| 1411 | |
---|
| 1412 | domain = Domain(points, vertices) |
---|
| 1413 | |
---|
| 1414 | |
---|
| 1415 | #Set up for a gradient of (3,0) at mid triangle |
---|
| 1416 | def slope(x, y): |
---|
| 1417 | return x**4+y**2 |
---|
| 1418 | |
---|
| 1419 | h = 0.1 |
---|
| 1420 | def stage(x,y): |
---|
| 1421 | return slope(x,y)+h |
---|
| 1422 | |
---|
| 1423 | domain.set_quantity('elevation', slope) |
---|
| 1424 | domain.set_quantity('stage', stage) |
---|
| 1425 | |
---|
| 1426 | #print domain.quantities['elevation'].centroid_values |
---|
| 1427 | #print domain.quantities['stage'].centroid_values |
---|
| 1428 | |
---|
| 1429 | E = domain.quantities['elevation'].vertex_values |
---|
| 1430 | L = domain.quantities['stage'].vertex_values |
---|
| 1431 | |
---|
| 1432 | #print E |
---|
| 1433 | domain.order = 1 |
---|
| 1434 | domain.distribute_to_vertices_and_edges() |
---|
| 1435 | ##assert allclose(L[1], [4.19999999, 16.07142857, 20.02857143]) |
---|
| 1436 | assert allclose(L[1], [4.1, 16.1, 20.1]) |
---|
| 1437 | |
---|
| 1438 | domain.order = 2 |
---|
| 1439 | domain.distribute_to_vertices_and_edges() |
---|
| 1440 | assert allclose(L[1], [4.1, 16.1, 20.1]) |
---|
| 1441 | |
---|
| 1442 | |
---|
| 1443 | |
---|
| 1444 | def test_second_order_distribute_real_data(self): |
---|
| 1445 | #Using test data generated by pyvolution-2 |
---|
| 1446 | #Assuming no friction and flat bed (0.0) |
---|
| 1447 | |
---|
| 1448 | a = [0.0, 0.0] |
---|
| 1449 | b = [0.0, 1.0/5] |
---|
| 1450 | c = [0.0, 2.0/5] |
---|
| 1451 | d = [1.0/5, 0.0] |
---|
| 1452 | e = [1.0/5, 1.0/5] |
---|
| 1453 | f = [1.0/5, 2.0/5] |
---|
| 1454 | g = [2.0/5, 2.0/5] |
---|
| 1455 | |
---|
| 1456 | points = [a, b, c, d, e, f, g] |
---|
| 1457 | #bae, efb, cbf, feg |
---|
| 1458 | vertices = [ [1,0,4], [4,5,1], [2,1,5], [5,4,6]] |
---|
| 1459 | |
---|
| 1460 | domain = Domain(points, vertices) |
---|
| 1461 | |
---|
| 1462 | def slope(x, y): |
---|
| 1463 | return -x/3 |
---|
| 1464 | |
---|
| 1465 | domain.set_quantity('elevation', slope) |
---|
| 1466 | domain.set_quantity('stage', |
---|
| 1467 | [0.01298164, 0.00365611, |
---|
| 1468 | 0.01440365, -0.0381856437096], |
---|
| 1469 | location='centroids') |
---|
| 1470 | domain.set_quantity('xmomentum', |
---|
| 1471 | [0.00670439, 0.01263789, |
---|
| 1472 | 0.00647805, 0.0178180740668], |
---|
| 1473 | location='centroids') |
---|
| 1474 | domain.set_quantity('ymomentum', |
---|
| 1475 | [-7.23510980e-004, -6.30413883e-005, |
---|
| 1476 | 6.30413883e-005, 0.000200907255866], |
---|
| 1477 | location='centroids') |
---|
| 1478 | |
---|
| 1479 | E = domain.quantities['elevation'].vertex_values |
---|
| 1480 | L = domain.quantities['stage'].vertex_values |
---|
| 1481 | X = domain.quantities['xmomentum'].vertex_values |
---|
| 1482 | Y = domain.quantities['ymomentum'].vertex_values |
---|
| 1483 | |
---|
| 1484 | #print E |
---|
| 1485 | domain.order = 2 |
---|
| 1486 | domain.beta_h = 0.0 #Use first order in h-limiter |
---|
| 1487 | domain.distribute_to_vertices_and_edges() |
---|
| 1488 | |
---|
| 1489 | #print L[1,:] |
---|
| 1490 | #print X[1,:] |
---|
| 1491 | #print Y[1,:] |
---|
| 1492 | |
---|
| 1493 | assert allclose(L[1,:], [-0.00825735775384, |
---|
| 1494 | -0.00801881482869, |
---|
| 1495 | 0.0272445025825]) |
---|
| 1496 | assert allclose(X[1,:], [0.0143507718962, |
---|
| 1497 | 0.0142502147066, |
---|
| 1498 | 0.00931268339717]) |
---|
| 1499 | assert allclose(Y[1,:], [-0.000117062180693, |
---|
| 1500 | 7.94434448109e-005, |
---|
| 1501 | -0.000151505429018]) |
---|
| 1502 | |
---|
| 1503 | |
---|
| 1504 | |
---|
| 1505 | def test_balance_deep_and_shallow(self): |
---|
| 1506 | """Test that balanced limiters preserve conserved quantites. |
---|
| 1507 | """ |
---|
| 1508 | import copy |
---|
| 1509 | |
---|
| 1510 | a = [0.0, 0.0] |
---|
| 1511 | b = [0.0, 2.0] |
---|
| 1512 | c = [2.0, 0.0] |
---|
| 1513 | d = [0.0, 4.0] |
---|
| 1514 | e = [2.0, 2.0] |
---|
| 1515 | f = [4.0, 0.0] |
---|
| 1516 | |
---|
| 1517 | points = [a, b, c, d, e, f] |
---|
| 1518 | |
---|
| 1519 | #bac, bce, ecf, dbe |
---|
| 1520 | elements = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
---|
| 1521 | |
---|
| 1522 | mesh = Domain(points, elements) |
---|
| 1523 | mesh.check_integrity() |
---|
| 1524 | |
---|
| 1525 | #Create a deliberate overshoot |
---|
| 1526 | mesh.set_quantity('stage', [[3,0,3], [2,2,6], [5,3,8], [8,3,5]]) |
---|
| 1527 | mesh.set_quantity('elevation', 0) #Flat bed |
---|
| 1528 | stage = mesh.quantities['stage'] |
---|
| 1529 | |
---|
| 1530 | ref_centroid_values = copy.copy(stage.centroid_values[:]) #Copy |
---|
| 1531 | |
---|
| 1532 | #Limit |
---|
| 1533 | mesh.distribute_to_vertices_and_edges() |
---|
| 1534 | |
---|
| 1535 | #Assert that quantities are conserved |
---|
| 1536 | from Numeric import sum |
---|
| 1537 | for k in range(mesh.number_of_elements): |
---|
| 1538 | assert allclose (ref_centroid_values[k], |
---|
| 1539 | sum(stage.vertex_values[k,:])/3) |
---|
| 1540 | |
---|
| 1541 | |
---|
| 1542 | #Now try with a non-flat bed - closely hugging initial stage in places |
---|
| 1543 | #This will create alphas in the range [0, 0.478260, 1] |
---|
| 1544 | mesh.set_quantity('stage', [[3,0,3], [2,2,6], [5,3,8], [8,3,5]]) |
---|
| 1545 | mesh.set_quantity('elevation', [[0,0,0], |
---|
| 1546 | [1.8,1.9,5.9], |
---|
| 1547 | [4.6,0,0], |
---|
| 1548 | [0,2,4]]) |
---|
| 1549 | stage = mesh.quantities['stage'] |
---|
| 1550 | |
---|
| 1551 | ref_centroid_values = copy.copy(stage.centroid_values[:]) #Copy |
---|
| 1552 | ref_vertex_values = copy.copy(stage.vertex_values[:]) #Copy |
---|
| 1553 | |
---|
| 1554 | #Limit |
---|
| 1555 | mesh.distribute_to_vertices_and_edges() |
---|
| 1556 | |
---|
| 1557 | |
---|
| 1558 | #Assert that all vertex quantities have changed |
---|
| 1559 | for k in range(mesh.number_of_elements): |
---|
| 1560 | #print ref_vertex_values[k,:], stage.vertex_values[k,:] |
---|
| 1561 | assert not allclose (ref_vertex_values[k,:], stage.vertex_values[k,:]) |
---|
| 1562 | #and assert that quantities are still conserved |
---|
| 1563 | from Numeric import sum |
---|
| 1564 | for k in range(mesh.number_of_elements): |
---|
| 1565 | assert allclose (ref_centroid_values[k], |
---|
| 1566 | sum(stage.vertex_values[k,:])/3) |
---|
| 1567 | |
---|
| 1568 | |
---|
| 1569 | #Also check that Python and C version produce the same |
---|
| 1570 | assert allclose (stage.vertex_values, |
---|
| 1571 | [[2,2,2], |
---|
| 1572 | [1.93333333, 2.03333333, 6.03333333], |
---|
| 1573 | [6.93333333, 4.53333333, 4.53333333], |
---|
| 1574 | [5.33333333, 5.33333333, 5.33333333]]) |
---|
| 1575 | |
---|
| 1576 | |
---|
| 1577 | |
---|
| 1578 | |
---|
| 1579 | def test_conservation_1(self): |
---|
| 1580 | """Test that stage is conserved globally |
---|
| 1581 | |
---|
| 1582 | This one uses a flat bed, reflective bdries and a suitable |
---|
| 1583 | initial condition |
---|
| 1584 | """ |
---|
| 1585 | from mesh_factory import rectangular |
---|
| 1586 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 1587 | Dirichlet_boundary, Constant_height |
---|
| 1588 | from Numeric import array |
---|
| 1589 | |
---|
| 1590 | #Create basic mesh |
---|
| 1591 | points, vertices, boundary = rectangular(6, 6) |
---|
| 1592 | |
---|
| 1593 | #Create shallow water domain |
---|
| 1594 | domain = Domain(points, vertices, boundary) |
---|
| 1595 | domain.smooth = False |
---|
| 1596 | domain.default_order=2 |
---|
| 1597 | |
---|
| 1598 | #IC |
---|
| 1599 | def x_slope(x, y): |
---|
| 1600 | return x/3 |
---|
| 1601 | |
---|
| 1602 | domain.set_quantity('elevation', 0) |
---|
| 1603 | domain.set_quantity('friction', 0) |
---|
| 1604 | domain.set_quantity('stage', x_slope) |
---|
| 1605 | |
---|
| 1606 | # Boundary conditions (reflective everywhere) |
---|
| 1607 | Br = Reflective_boundary(domain) |
---|
| 1608 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 1609 | |
---|
| 1610 | domain.check_integrity() |
---|
| 1611 | |
---|
| 1612 | #domain.visualise = True #If you want to take a sticky beak |
---|
| 1613 | |
---|
| 1614 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 1615 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1616 | |
---|
| 1617 | #print initial_xmom |
---|
| 1618 | |
---|
| 1619 | #Evolution |
---|
| 1620 | for t in domain.evolve(yieldstep = 0.05, finaltime = 5.0): |
---|
| 1621 | volume = domain.quantities['stage'].get_integral() |
---|
| 1622 | assert allclose (volume, initial_volume) |
---|
| 1623 | |
---|
| 1624 | #I don't believe that the total momentum should be the same |
---|
| 1625 | #It starts with zero and ends with zero though |
---|
| 1626 | #xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1627 | #print xmom |
---|
| 1628 | #assert allclose (xmom, initial_xmom) |
---|
| 1629 | |
---|
| 1630 | os.remove(domain.filename + '.sww') |
---|
| 1631 | |
---|
| 1632 | |
---|
| 1633 | def test_conservation_2(self): |
---|
| 1634 | """Test that stage is conserved globally |
---|
| 1635 | |
---|
| 1636 | This one uses a slopy bed, reflective bdries and a suitable |
---|
| 1637 | initial condition |
---|
| 1638 | """ |
---|
| 1639 | from mesh_factory import rectangular |
---|
| 1640 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 1641 | Dirichlet_boundary, Constant_height |
---|
| 1642 | from Numeric import array |
---|
| 1643 | |
---|
| 1644 | #Create basic mesh |
---|
| 1645 | points, vertices, boundary = rectangular(6, 6) |
---|
| 1646 | |
---|
| 1647 | #Create shallow water domain |
---|
| 1648 | domain = Domain(points, vertices, boundary) |
---|
| 1649 | domain.smooth = False |
---|
| 1650 | domain.default_order=2 |
---|
| 1651 | |
---|
| 1652 | #IC |
---|
| 1653 | def x_slope(x, y): |
---|
| 1654 | return x/3 |
---|
| 1655 | |
---|
| 1656 | domain.set_quantity('elevation', x_slope) |
---|
| 1657 | domain.set_quantity('friction', 0) |
---|
| 1658 | domain.set_quantity('stage', 0.4) #Steady |
---|
| 1659 | |
---|
| 1660 | # Boundary conditions (reflective everywhere) |
---|
| 1661 | Br = Reflective_boundary(domain) |
---|
| 1662 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 1663 | |
---|
| 1664 | domain.check_integrity() |
---|
| 1665 | |
---|
| 1666 | #domain.visualise = True #If you want to take a sticky beak |
---|
| 1667 | |
---|
| 1668 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 1669 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1670 | |
---|
| 1671 | #print initial_xmom |
---|
| 1672 | |
---|
| 1673 | #Evolution |
---|
| 1674 | for t in domain.evolve(yieldstep = 0.05, finaltime = 5.0): |
---|
| 1675 | volume = domain.quantities['stage'].get_integral() |
---|
| 1676 | assert allclose (volume, initial_volume) |
---|
| 1677 | |
---|
| 1678 | #FIXME: What would we expect from momentum |
---|
| 1679 | #xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1680 | #print xmom |
---|
| 1681 | #assert allclose (xmom, initial_xmom) |
---|
| 1682 | |
---|
| 1683 | os.remove(domain.filename + '.sww') |
---|
| 1684 | |
---|
| 1685 | def test_conservation_3(self): |
---|
| 1686 | """Test that stage is conserved globally |
---|
| 1687 | |
---|
| 1688 | This one uses a larger grid, convoluted bed, reflective bdries and a suitable |
---|
| 1689 | initial condition |
---|
| 1690 | """ |
---|
| 1691 | from mesh_factory import rectangular |
---|
| 1692 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 1693 | Dirichlet_boundary, Constant_height |
---|
| 1694 | from Numeric import array |
---|
| 1695 | |
---|
| 1696 | #Create basic mesh |
---|
| 1697 | points, vertices, boundary = rectangular(2, 1) |
---|
| 1698 | |
---|
| 1699 | #Create shallow water domain |
---|
| 1700 | domain = Domain(points, vertices, boundary) |
---|
| 1701 | domain.smooth = False |
---|
| 1702 | domain.default_order = 2 |
---|
| 1703 | domain.beta_h = 0.2 |
---|
| 1704 | domain.set_quantities_to_be_stored(['stage']) |
---|
| 1705 | |
---|
| 1706 | #IC |
---|
| 1707 | def x_slope(x, y): |
---|
| 1708 | z = 0*x |
---|
| 1709 | for i in range(len(x)): |
---|
| 1710 | if x[i] < 0.3: |
---|
| 1711 | z[i] = x[i]/3 |
---|
| 1712 | if 0.3 <= x[i] < 0.5: |
---|
| 1713 | z[i] = -0.5 |
---|
| 1714 | if 0.5 <= x[i] < 0.7: |
---|
| 1715 | z[i] = 0.39 |
---|
| 1716 | if 0.7 <= x[i]: |
---|
| 1717 | z[i] = x[i]/3 |
---|
| 1718 | return z |
---|
| 1719 | |
---|
| 1720 | |
---|
| 1721 | |
---|
| 1722 | domain.set_quantity('elevation', x_slope) |
---|
| 1723 | domain.set_quantity('friction', 0) |
---|
| 1724 | domain.set_quantity('stage', 0.4) #Steady |
---|
| 1725 | |
---|
| 1726 | # Boundary conditions (reflective everywhere) |
---|
| 1727 | Br = Reflective_boundary(domain) |
---|
| 1728 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 1729 | |
---|
| 1730 | domain.check_integrity() |
---|
| 1731 | |
---|
| 1732 | #domain.visualise = True #If you want to take a sticky beak |
---|
| 1733 | |
---|
| 1734 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 1735 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1736 | |
---|
| 1737 | import copy |
---|
| 1738 | ref_centroid_values =\ |
---|
| 1739 | copy.copy(domain.quantities['stage'].centroid_values) |
---|
| 1740 | |
---|
| 1741 | #print 'ORG', domain.quantities['stage'].centroid_values |
---|
| 1742 | domain.distribute_to_vertices_and_edges() |
---|
| 1743 | |
---|
| 1744 | |
---|
| 1745 | #print domain.quantities['stage'].centroid_values |
---|
| 1746 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 1747 | ref_centroid_values) |
---|
| 1748 | |
---|
| 1749 | |
---|
| 1750 | #Check that initial limiter doesn't violate cons quan |
---|
| 1751 | assert allclose (domain.quantities['stage'].get_integral(), |
---|
| 1752 | initial_volume) |
---|
| 1753 | |
---|
| 1754 | #Evolution |
---|
| 1755 | for t in domain.evolve(yieldstep = 0.05, finaltime = 10): |
---|
| 1756 | volume = domain.quantities['stage'].get_integral() |
---|
| 1757 | #print t, volume, initial_volume |
---|
| 1758 | assert allclose (volume, initial_volume) |
---|
| 1759 | |
---|
| 1760 | os.remove(domain.filename + '.sww') |
---|
| 1761 | |
---|
| 1762 | def test_conservation_4(self): |
---|
| 1763 | """Test that stage is conserved globally |
---|
| 1764 | |
---|
| 1765 | This one uses a larger grid, convoluted bed, reflective bdries and a suitable |
---|
| 1766 | initial condition |
---|
| 1767 | """ |
---|
| 1768 | from mesh_factory import rectangular |
---|
| 1769 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 1770 | Dirichlet_boundary, Constant_height |
---|
| 1771 | from Numeric import array |
---|
| 1772 | |
---|
| 1773 | #Create basic mesh |
---|
| 1774 | points, vertices, boundary = rectangular(6, 6) |
---|
| 1775 | |
---|
| 1776 | #Create shallow water domain |
---|
| 1777 | domain = Domain(points, vertices, boundary) |
---|
| 1778 | domain.smooth = False |
---|
| 1779 | domain.default_order=2 |
---|
| 1780 | domain.beta_h = 0.0 |
---|
| 1781 | |
---|
| 1782 | #IC |
---|
| 1783 | def x_slope(x, y): |
---|
| 1784 | z = 0*x |
---|
| 1785 | for i in range(len(x)): |
---|
| 1786 | if x[i] < 0.3: |
---|
| 1787 | z[i] = x[i]/3 |
---|
| 1788 | if 0.3 <= x[i] < 0.5: |
---|
| 1789 | z[i] = -0.5 |
---|
| 1790 | if 0.5 <= x[i] < 0.7: |
---|
| 1791 | #z[i] = 0.3 #OK with beta == 0.2 |
---|
| 1792 | z[i] = 0.34 #OK with beta == 0.0 |
---|
| 1793 | #z[i] = 0.35#Fails after 80 timesteps with an error |
---|
| 1794 | #of the order 1.0e-5 |
---|
| 1795 | if 0.7 <= x[i]: |
---|
| 1796 | z[i] = x[i]/3 |
---|
| 1797 | return z |
---|
| 1798 | |
---|
| 1799 | |
---|
| 1800 | |
---|
| 1801 | domain.set_quantity('elevation', x_slope) |
---|
| 1802 | domain.set_quantity('friction', 0) |
---|
| 1803 | domain.set_quantity('stage', 0.4) #Steady |
---|
| 1804 | |
---|
| 1805 | # Boundary conditions (reflective everywhere) |
---|
| 1806 | Br = Reflective_boundary(domain) |
---|
| 1807 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 1808 | |
---|
| 1809 | domain.check_integrity() |
---|
| 1810 | |
---|
| 1811 | #domain.visualise = True #If you want to take a sticky beak |
---|
| 1812 | |
---|
| 1813 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 1814 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1815 | |
---|
| 1816 | import copy |
---|
| 1817 | ref_centroid_values =\ |
---|
| 1818 | copy.copy(domain.quantities['stage'].centroid_values) |
---|
| 1819 | |
---|
| 1820 | #Test limiter by itself |
---|
| 1821 | domain.distribute_to_vertices_and_edges() |
---|
| 1822 | |
---|
| 1823 | #Check that initial limiter doesn't violate cons quan |
---|
| 1824 | assert allclose (domain.quantities['stage'].get_integral(), |
---|
| 1825 | initial_volume) |
---|
| 1826 | #NOTE: This would fail if any initial stage was less than the |
---|
| 1827 | #corresponding bed elevation - but that is reasonable. |
---|
| 1828 | |
---|
| 1829 | |
---|
| 1830 | #Evolution |
---|
| 1831 | for t in domain.evolve(yieldstep = 0.05, finaltime = 10.0): |
---|
| 1832 | volume = domain.quantities['stage'].get_integral() |
---|
| 1833 | |
---|
| 1834 | #print t, volume, initial_volume |
---|
| 1835 | |
---|
| 1836 | |
---|
| 1837 | #if not allclose (volume, initial_volume): |
---|
| 1838 | # print 't==4.05' |
---|
| 1839 | # for k in range(domain.number_of_elements): |
---|
| 1840 | # pass |
---|
| 1841 | # print domain.quantities['stage'].centroid_values[k] -\ |
---|
| 1842 | # ref_centroid_values[k] |
---|
| 1843 | |
---|
| 1844 | assert allclose (volume, initial_volume) |
---|
| 1845 | |
---|
| 1846 | |
---|
| 1847 | os.remove(domain.filename + '.sww') |
---|
| 1848 | |
---|
| 1849 | |
---|
| 1850 | def test_conservation_5(self): |
---|
| 1851 | """Test that momentum is conserved globally in |
---|
| 1852 | steady state scenario |
---|
| 1853 | |
---|
| 1854 | This one uses a slopy bed, dirichlet and reflective bdries |
---|
| 1855 | """ |
---|
| 1856 | from mesh_factory import rectangular |
---|
| 1857 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 1858 | Dirichlet_boundary, Constant_height |
---|
| 1859 | from Numeric import array |
---|
| 1860 | |
---|
| 1861 | #Create basic mesh |
---|
| 1862 | points, vertices, boundary = rectangular(6, 6) |
---|
| 1863 | |
---|
| 1864 | #Create shallow water domain |
---|
| 1865 | domain = Domain(points, vertices, boundary) |
---|
| 1866 | domain.smooth = False |
---|
| 1867 | domain.default_order=2 |
---|
| 1868 | |
---|
| 1869 | #IC |
---|
| 1870 | def x_slope(x, y): |
---|
| 1871 | return x/3 |
---|
| 1872 | |
---|
| 1873 | domain.set_quantity('elevation', x_slope) |
---|
| 1874 | domain.set_quantity('friction', 0) |
---|
| 1875 | domain.set_quantity('stage', 0.4) #Steady |
---|
| 1876 | |
---|
| 1877 | # Boundary conditions (reflective everywhere) |
---|
| 1878 | Br = Reflective_boundary(domain) |
---|
| 1879 | Bleft = Dirichlet_boundary([0.5,0,0]) |
---|
| 1880 | Bright = Dirichlet_boundary([0.1,0,0]) |
---|
| 1881 | domain.set_boundary({'left': Bleft, 'right': Bright, |
---|
| 1882 | 'top': Br, 'bottom': Br}) |
---|
| 1883 | |
---|
| 1884 | domain.check_integrity() |
---|
| 1885 | |
---|
| 1886 | #domain.visualise = True #If you want to take a sticky beak |
---|
| 1887 | |
---|
| 1888 | initial_volume = domain.quantities['stage'].get_integral() |
---|
| 1889 | initial_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1890 | |
---|
| 1891 | |
---|
| 1892 | #Evolution |
---|
| 1893 | for t in domain.evolve(yieldstep = 0.05, finaltime = 15.0): |
---|
| 1894 | stage = domain.quantities['stage'].get_integral() |
---|
| 1895 | xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1896 | ymom = domain.quantities['ymomentum'].get_integral() |
---|
| 1897 | |
---|
| 1898 | if allclose(t, 6): #Steady state reached |
---|
| 1899 | steady_xmom = domain.quantities['xmomentum'].get_integral() |
---|
| 1900 | steady_ymom = domain.quantities['ymomentum'].get_integral() |
---|
| 1901 | steady_stage = domain.quantities['stage'].get_integral() |
---|
| 1902 | |
---|
| 1903 | if t > 6: |
---|
| 1904 | #print '%.2f %14.8f %14.8f' %(t, ymom, steady_ymom) |
---|
| 1905 | assert allclose(xmom, steady_xmom) |
---|
| 1906 | assert allclose(ymom, steady_ymom) |
---|
| 1907 | assert allclose(stage, steady_stage) |
---|
| 1908 | |
---|
| 1909 | |
---|
| 1910 | os.remove(domain.filename + '.sww') |
---|
| 1911 | |
---|
| 1912 | |
---|
| 1913 | |
---|
| 1914 | |
---|
| 1915 | |
---|
| 1916 | def test_conservation_real(self): |
---|
| 1917 | """Test that momentum is conserved globally |
---|
| 1918 | |
---|
| 1919 | Stephen finally made a test that revealed the problem. |
---|
| 1920 | This test failed with code prior to 25 July 2005 |
---|
| 1921 | """ |
---|
| 1922 | |
---|
| 1923 | yieldstep = 0.01 |
---|
| 1924 | finaltime = 0.05 |
---|
| 1925 | min_depth = 1.0e-2 |
---|
| 1926 | |
---|
| 1927 | |
---|
| 1928 | import sys |
---|
| 1929 | from os import sep; sys.path.append('..'+sep+'pyvolution') |
---|
| 1930 | from mesh_factory import rectangular |
---|
| 1931 | from shallow_water import Domain, Reflective_boundary |
---|
| 1932 | |
---|
| 1933 | |
---|
| 1934 | #Create shallow water domain |
---|
| 1935 | points, vertices, boundary = rectangular(10, 10, len1=500, len2=500) |
---|
| 1936 | domain = Domain(points, vertices, boundary) |
---|
| 1937 | domain.smooth = False |
---|
| 1938 | domain.visualise = False |
---|
| 1939 | domain.default_order = 1 |
---|
| 1940 | domain.minimum_allowed_height = min_depth |
---|
| 1941 | |
---|
| 1942 | # Set initial condition |
---|
| 1943 | class Set_IC: |
---|
| 1944 | """Set an initial condition with a constant value, for x0<x<x1 |
---|
| 1945 | """ |
---|
| 1946 | |
---|
| 1947 | def __init__(self, x0=0.25, x1=0.5, h=1.0): |
---|
| 1948 | self.x0 = x0 |
---|
| 1949 | self.x1 = x1 |
---|
| 1950 | self.h = h |
---|
| 1951 | |
---|
| 1952 | def __call__(self, x, y): |
---|
| 1953 | return self.h*((x>self.x0)&(x<self.x1)) |
---|
| 1954 | |
---|
| 1955 | |
---|
| 1956 | domain.set_quantity('stage', Set_IC(200.0,300.0,5.0)) |
---|
| 1957 | |
---|
| 1958 | |
---|
| 1959 | #Boundaries |
---|
| 1960 | R = Reflective_boundary(domain) |
---|
| 1961 | domain.set_boundary( {'left': R, 'right': R, 'top':R, 'bottom': R}) |
---|
| 1962 | |
---|
| 1963 | ref = domain.quantities['stage'].get_integral() |
---|
| 1964 | |
---|
| 1965 | # Evolution |
---|
| 1966 | for t in domain.evolve(yieldstep = yieldstep, finaltime = finaltime): |
---|
| 1967 | pass |
---|
| 1968 | #print 'Integral stage = ',\ |
---|
| 1969 | # domain.quantities['stage'].get_integral(),\ |
---|
| 1970 | # ' Time = ',domain.time |
---|
| 1971 | |
---|
| 1972 | |
---|
| 1973 | now = domain.quantities['stage'].get_integral() |
---|
| 1974 | |
---|
| 1975 | msg = 'Stage not conserved: was %f, now %f' %(ref, now) |
---|
| 1976 | assert allclose(ref, now), msg |
---|
| 1977 | |
---|
| 1978 | os.remove(domain.filename + '.sww') |
---|
| 1979 | |
---|
| 1980 | def test_second_order_flat_bed_onestep(self): |
---|
| 1981 | |
---|
| 1982 | from mesh_factory import rectangular |
---|
| 1983 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 1984 | Dirichlet_boundary, Constant_height |
---|
| 1985 | from Numeric import array |
---|
| 1986 | |
---|
| 1987 | #Create basic mesh |
---|
| 1988 | points, vertices, boundary = rectangular(6, 6) |
---|
| 1989 | |
---|
| 1990 | #Create shallow water domain |
---|
| 1991 | domain = Domain(points, vertices, boundary) |
---|
| 1992 | domain.smooth = False |
---|
| 1993 | domain.default_order=2 |
---|
| 1994 | |
---|
| 1995 | # Boundary conditions |
---|
| 1996 | Br = Reflective_boundary(domain) |
---|
| 1997 | Bd = Dirichlet_boundary([0.1, 0., 0.]) |
---|
| 1998 | domain.set_boundary({'left': Bd, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 1999 | |
---|
| 2000 | domain.check_integrity() |
---|
| 2001 | |
---|
| 2002 | #Evolution |
---|
| 2003 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.05): |
---|
| 2004 | pass# domain.write_time() |
---|
| 2005 | |
---|
| 2006 | #Data from earlier version of pyvolution |
---|
| 2007 | assert allclose(domain.min_timestep, 0.0396825396825) |
---|
| 2008 | assert allclose(domain.max_timestep, 0.0396825396825) |
---|
| 2009 | |
---|
| 2010 | assert allclose(domain.quantities['stage'].centroid_values[:12], |
---|
| 2011 | [0.00171396, 0.02656103, 0.00241523, 0.02656103, |
---|
| 2012 | 0.00241523, 0.02656103, 0.00241523, 0.02656103, |
---|
| 2013 | 0.00241523, 0.02656103, 0.00241523, 0.0272623]) |
---|
| 2014 | |
---|
| 2015 | domain.distribute_to_vertices_and_edges() |
---|
| 2016 | assert allclose(domain.quantities['stage'].vertex_values[:12,0], |
---|
| 2017 | [0.0001714, 0.02656103, 0.00024152, |
---|
| 2018 | 0.02656103, 0.00024152, 0.02656103, |
---|
| 2019 | 0.00024152, 0.02656103, 0.00024152, |
---|
| 2020 | 0.02656103, 0.00024152, 0.0272623]) |
---|
| 2021 | |
---|
| 2022 | assert allclose(domain.quantities['stage'].vertex_values[:12,1], |
---|
| 2023 | [0.00315012, 0.02656103, 0.00024152, 0.02656103, |
---|
| 2024 | 0.00024152, 0.02656103, 0.00024152, 0.02656103, |
---|
| 2025 | 0.00024152, 0.02656103, 0.00040506, 0.0272623]) |
---|
| 2026 | |
---|
| 2027 | assert allclose(domain.quantities['stage'].vertex_values[:12,2], |
---|
| 2028 | [0.00182037, 0.02656103, 0.00676264, |
---|
| 2029 | 0.02656103, 0.00676264, 0.02656103, |
---|
| 2030 | 0.00676264, 0.02656103, 0.00676264, |
---|
| 2031 | 0.02656103, 0.0065991, 0.0272623]) |
---|
| 2032 | |
---|
| 2033 | assert allclose(domain.quantities['xmomentum'].centroid_values[:12], |
---|
| 2034 | [0.00113961, 0.01302432, 0.00148672, |
---|
| 2035 | 0.01302432, 0.00148672, 0.01302432, |
---|
| 2036 | 0.00148672, 0.01302432, 0.00148672 , |
---|
| 2037 | 0.01302432, 0.00148672, 0.01337143]) |
---|
| 2038 | |
---|
| 2039 | assert allclose(domain.quantities['ymomentum'].centroid_values[:12], |
---|
| 2040 | [-2.91240050e-004 , 1.22721531e-004, |
---|
| 2041 | -1.22721531e-004, 1.22721531e-004 , |
---|
| 2042 | -1.22721531e-004, 1.22721531e-004, |
---|
| 2043 | -1.22721531e-004 , 1.22721531e-004, |
---|
| 2044 | -1.22721531e-004, 1.22721531e-004, |
---|
| 2045 | -1.22721531e-004, -4.57969873e-005]) |
---|
| 2046 | |
---|
| 2047 | os.remove(domain.filename + '.sww') |
---|
| 2048 | |
---|
| 2049 | |
---|
| 2050 | def test_second_order_flat_bed_moresteps(self): |
---|
| 2051 | |
---|
| 2052 | from mesh_factory import rectangular |
---|
| 2053 | from shallow_water import Domain, Reflective_boundary,\ |
---|
| 2054 | Dirichlet_boundary, Constant_height |
---|
| 2055 | from Numeric import array |
---|
| 2056 | |
---|
| 2057 | #Create basic mesh |
---|
| 2058 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2059 | |
---|
| 2060 | #Create shallow water domain |
---|
| 2061 | domain = Domain(points, vertices, boundary) |
---|
| 2062 | domain.smooth = False |
---|
| 2063 | domain.default_order=2 |
---|
| 2064 | |
---|
| 2065 | # Boundary conditions |
---|
| 2066 | Br = Reflective_boundary(domain) |
---|
| 2067 | Bd = Dirichlet_boundary([0.1, 0., 0.]) |
---|
| 2068 | domain.set_boundary({'left': Bd, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2069 | |
---|
| 2070 | domain.check_integrity() |
---|
| 2071 | |
---|
| 2072 | #Evolution |
---|
| 2073 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.1): |
---|
| 2074 | pass |
---|
| 2075 | |
---|
| 2076 | #Data from earlier version of pyvolution |
---|
| 2077 | #assert allclose(domain.min_timestep, 0.0396825396825) |
---|
| 2078 | #assert allclose(domain.max_timestep, 0.0396825396825) |
---|
| 2079 | #print domain.quantities['stage'].centroid_values |
---|
| 2080 | |
---|
| 2081 | os.remove(domain.filename + '.sww') |
---|
| 2082 | |
---|
| 2083 | |
---|
| 2084 | def test_flatbed_first_order(self): |
---|
| 2085 | from mesh_factory import rectangular |
---|
| 2086 | from shallow_water import Domain,\ |
---|
| 2087 | Reflective_boundary, Dirichlet_boundary |
---|
| 2088 | |
---|
| 2089 | from Numeric import array |
---|
| 2090 | |
---|
| 2091 | #Create basic mesh |
---|
| 2092 | N = 8 |
---|
| 2093 | points, vertices, boundary = rectangular(N, N) |
---|
| 2094 | |
---|
| 2095 | #Create shallow water domain |
---|
| 2096 | domain = Domain(points, vertices, boundary) |
---|
| 2097 | domain.smooth = False |
---|
| 2098 | domain.visualise = False |
---|
| 2099 | domain.default_order=1 |
---|
| 2100 | |
---|
| 2101 | # Boundary conditions |
---|
| 2102 | Br = Reflective_boundary(domain) |
---|
| 2103 | Bd = Dirichlet_boundary([0.2,0.,0.]) |
---|
| 2104 | |
---|
| 2105 | domain.set_boundary({'left': Bd, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2106 | domain.check_integrity() |
---|
| 2107 | |
---|
| 2108 | |
---|
| 2109 | #Evolution |
---|
| 2110 | for t in domain.evolve(yieldstep = 0.02, finaltime = 0.5): |
---|
| 2111 | pass |
---|
| 2112 | #domain.write_time() |
---|
| 2113 | |
---|
| 2114 | #FIXME: These numbers were from version before 25/10 |
---|
| 2115 | #assert allclose(domain.min_timestep, 0.0140413643926) |
---|
| 2116 | #assert allclose(domain.max_timestep, 0.0140947355753) |
---|
| 2117 | |
---|
| 2118 | for i in range(3): |
---|
| 2119 | #assert allclose(domain.quantities['stage'].edge_values[:4,i], |
---|
| 2120 | # [0.10730244,0.12337617,0.11200126,0.12605666]) |
---|
| 2121 | |
---|
| 2122 | assert allclose(domain.quantities['xmomentum'].edge_values[:4,i], |
---|
| 2123 | [0.07610894,0.06901572,0.07284461,0.06819712]) |
---|
| 2124 | |
---|
| 2125 | #assert allclose(domain.quantities['ymomentum'].edge_values[:4,i], |
---|
| 2126 | # [-0.0060238, -0.00157404, -0.00309633, -0.0001637]) |
---|
| 2127 | |
---|
| 2128 | |
---|
| 2129 | os.remove(domain.filename + '.sww') |
---|
| 2130 | |
---|
| 2131 | def test_flatbed_second_order(self): |
---|
| 2132 | from mesh_factory import rectangular |
---|
| 2133 | from shallow_water import Domain,\ |
---|
| 2134 | Reflective_boundary, Dirichlet_boundary |
---|
| 2135 | |
---|
| 2136 | from Numeric import array |
---|
| 2137 | |
---|
| 2138 | #Create basic mesh |
---|
| 2139 | N = 8 |
---|
| 2140 | points, vertices, boundary = rectangular(N, N) |
---|
| 2141 | |
---|
| 2142 | #Create shallow water domain |
---|
| 2143 | domain = Domain(points, vertices, boundary) |
---|
| 2144 | domain.smooth = False |
---|
| 2145 | domain.visualise = False |
---|
| 2146 | domain.default_order=2 |
---|
| 2147 | #domain.minimum_allowed_height = 0.0 #Makes it like the 'oldstyle' balance |
---|
| 2148 | |
---|
| 2149 | # Boundary conditions |
---|
| 2150 | Br = Reflective_boundary(domain) |
---|
| 2151 | Bd = Dirichlet_boundary([0.2,0.,0.]) |
---|
| 2152 | |
---|
| 2153 | domain.set_boundary({'left': Bd, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2154 | domain.check_integrity() |
---|
| 2155 | |
---|
| 2156 | #Evolution |
---|
| 2157 | for t in domain.evolve(yieldstep = 0.01, finaltime = 0.03): |
---|
| 2158 | pass |
---|
| 2159 | |
---|
| 2160 | |
---|
| 2161 | assert allclose(domain.min_timestep, 0.0210448446782) |
---|
| 2162 | assert allclose(domain.max_timestep, 0.0210448446782) |
---|
| 2163 | |
---|
| 2164 | #print domain.quantities['stage'].vertex_values[:4,0] |
---|
| 2165 | #print domain.quantities['xmomentum'].vertex_values[:4,0] |
---|
| 2166 | #print domain.quantities['ymomentum'].vertex_values[:4,0] |
---|
| 2167 | |
---|
| 2168 | #FIXME: These numbers were from version before 25/10 |
---|
| 2169 | #assert allclose(domain.quantities['stage'].vertex_values[:4,0], |
---|
| 2170 | # [0.00101913,0.05352143,0.00104852,0.05354394]) |
---|
| 2171 | |
---|
[2565] | 2172 | #FIXME: These numbers were from version before 21/3/6 - |
---|
| 2173 | #could be recreated by setting maximum_allowed_speed to 0 maybe |
---|
| 2174 | #assert allclose(domain.quantities['xmomentum'].vertex_values[:4,0], |
---|
| 2175 | # [ 0.00064835, 0.03685719, 0.00085073, 0.03687313]) |
---|
| 2176 | |
---|
[2526] | 2177 | assert allclose(domain.quantities['xmomentum'].vertex_values[:4,0], |
---|
[2565] | 2178 | [ 0.00090581, 0.03685719, 0.00088303, 0.03687313]) |
---|
| 2179 | |
---|
| 2180 | |
---|
[2526] | 2181 | |
---|
| 2182 | #assert allclose(domain.quantities['xmomentum'].vertex_values[:4,0], |
---|
| 2183 | # [0.00090581,0.03685719,0.00088303,0.03687313]) |
---|
| 2184 | |
---|
| 2185 | assert allclose(domain.quantities['ymomentum'].vertex_values[:4,0], |
---|
| 2186 | [-0.00139463,0.0006156,-0.00060364,0.00061827]) |
---|
| 2187 | |
---|
| 2188 | |
---|
| 2189 | os.remove(domain.filename + '.sww') |
---|
| 2190 | |
---|
[2566] | 2191 | |
---|
| 2192 | def test_flatbed_second_order_vmax_0(self): |
---|
| 2193 | from mesh_factory import rectangular |
---|
| 2194 | from shallow_water import Domain,\ |
---|
| 2195 | Reflective_boundary, Dirichlet_boundary |
---|
[2526] | 2196 | |
---|
[2566] | 2197 | from Numeric import array |
---|
| 2198 | |
---|
| 2199 | #Create basic mesh |
---|
| 2200 | N = 8 |
---|
| 2201 | points, vertices, boundary = rectangular(N, N) |
---|
| 2202 | |
---|
| 2203 | #Create shallow water domain |
---|
| 2204 | domain = Domain(points, vertices, boundary) |
---|
| 2205 | domain.smooth = False |
---|
| 2206 | domain.visualise = False |
---|
| 2207 | domain.default_order=2 |
---|
| 2208 | domain.maximum_allowed_speed = 0.0 #Makes it like the 'oldstyle' |
---|
| 2209 | |
---|
| 2210 | # Boundary conditions |
---|
| 2211 | Br = Reflective_boundary(domain) |
---|
| 2212 | Bd = Dirichlet_boundary([0.2,0.,0.]) |
---|
| 2213 | |
---|
| 2214 | domain.set_boundary({'left': Bd, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2215 | domain.check_integrity() |
---|
| 2216 | |
---|
| 2217 | #Evolution |
---|
| 2218 | for t in domain.evolve(yieldstep = 0.01, finaltime = 0.03): |
---|
| 2219 | pass |
---|
| 2220 | |
---|
| 2221 | |
---|
| 2222 | assert allclose(domain.min_timestep, 0.0210448446782) |
---|
| 2223 | assert allclose(domain.max_timestep, 0.0210448446782) |
---|
| 2224 | |
---|
| 2225 | #FIXME: These numbers were from version before 21/3/6 - |
---|
| 2226 | #could be recreated by setting maximum_allowed_speed to 0 maybe |
---|
| 2227 | assert allclose(domain.quantities['xmomentum'].vertex_values[:4,0], |
---|
| 2228 | [ 0.00064835, 0.03685719, 0.00085073, 0.03687313]) |
---|
| 2229 | |
---|
| 2230 | |
---|
| 2231 | assert allclose(domain.quantities['ymomentum'].vertex_values[:4,0], |
---|
| 2232 | [-0.00139463,0.0006156,-0.00060364,0.00061827]) |
---|
| 2233 | |
---|
| 2234 | |
---|
| 2235 | os.remove(domain.filename + '.sww') |
---|
| 2236 | |
---|
| 2237 | |
---|
| 2238 | |
---|
[2526] | 2239 | def test_flatbed_second_order_distribute(self): |
---|
| 2240 | #Use real data from pyvolution 2 |
---|
| 2241 | #painfully setup and extracted. |
---|
| 2242 | from mesh_factory import rectangular |
---|
| 2243 | from shallow_water import Domain,\ |
---|
| 2244 | Reflective_boundary, Dirichlet_boundary |
---|
| 2245 | |
---|
| 2246 | from Numeric import array |
---|
| 2247 | |
---|
| 2248 | #Create basic mesh |
---|
| 2249 | N = 8 |
---|
| 2250 | points, vertices, boundary = rectangular(N, N) |
---|
| 2251 | |
---|
| 2252 | #Create shallow water domain |
---|
| 2253 | domain = Domain(points, vertices, boundary) |
---|
| 2254 | domain.smooth = False |
---|
| 2255 | domain.visualise = False |
---|
| 2256 | domain.default_order=domain.order=2 |
---|
| 2257 | |
---|
| 2258 | # Boundary conditions |
---|
| 2259 | Br = Reflective_boundary(domain) |
---|
| 2260 | Bd = Dirichlet_boundary([0.2,0.,0.]) |
---|
| 2261 | |
---|
| 2262 | domain.set_boundary({'left': Bd, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2263 | domain.check_integrity() |
---|
| 2264 | |
---|
| 2265 | |
---|
| 2266 | |
---|
| 2267 | for V in [False, True]: |
---|
| 2268 | if V: |
---|
| 2269 | #Set centroids as if system had been evolved |
---|
| 2270 | L = zeros(2*N*N, Float) |
---|
| 2271 | L[:32] = [7.21205592e-003, 5.35214298e-002, 1.00910824e-002, |
---|
| 2272 | 5.35439433e-002, 1.00910824e-002, 5.35439433e-002, |
---|
| 2273 | 1.00910824e-002, 5.35439433e-002, 1.00910824e-002, |
---|
| 2274 | 5.35439433e-002, 1.00910824e-002, 5.35439433e-002, |
---|
| 2275 | 1.00910824e-002, 5.35393928e-002, 1.02344264e-002, |
---|
| 2276 | 5.59605058e-002, 0.00000000e+000, 3.31027800e-004, |
---|
| 2277 | 0.00000000e+000, 4.37962142e-005, 0.00000000e+000, |
---|
| 2278 | 4.37962142e-005, 0.00000000e+000, 4.37962142e-005, |
---|
| 2279 | 0.00000000e+000, 4.37962142e-005, 0.00000000e+000, |
---|
| 2280 | 4.37962142e-005, 0.00000000e+000, 4.37962142e-005, |
---|
| 2281 | 0.00000000e+000, 5.57305948e-005] |
---|
| 2282 | |
---|
| 2283 | X = zeros(2*N*N, Float) |
---|
| 2284 | X[:32] = [6.48351607e-003, 3.68571894e-002, 8.50733285e-003, |
---|
| 2285 | 3.68731327e-002, 8.50733285e-003, 3.68731327e-002, |
---|
| 2286 | 8.50733285e-003, 3.68731327e-002, 8.50733285e-003, |
---|
| 2287 | 3.68731327e-002, 8.50733285e-003, 3.68731327e-002, |
---|
| 2288 | 8.50733285e-003, 3.68693861e-002, 8.65220973e-003, |
---|
| 2289 | 3.85055387e-002, 0.00000000e+000, 2.86060840e-004, |
---|
| 2290 | 0.00000000e+000, 3.58905503e-005, 0.00000000e+000, |
---|
| 2291 | 3.58905503e-005, 0.00000000e+000, 3.58905503e-005, |
---|
| 2292 | 0.00000000e+000, 3.58905503e-005, 0.00000000e+000, |
---|
| 2293 | 3.58905503e-005, 0.00000000e+000, 3.58905503e-005, |
---|
| 2294 | 0.00000000e+000, 4.57662812e-005] |
---|
| 2295 | |
---|
| 2296 | Y = zeros(2*N*N, Float) |
---|
| 2297 | Y[:32]=[-1.39463104e-003, 6.15600298e-004, -6.03637382e-004, |
---|
| 2298 | 6.18272251e-004, -6.03637382e-004, 6.18272251e-004, |
---|
| 2299 | -6.03637382e-004, 6.18272251e-004, -6.03637382e-004, |
---|
| 2300 | 6.18272251e-004, -6.03637382e-004, 6.18272251e-004, |
---|
| 2301 | -6.03637382e-004, 6.18599320e-004, -6.74622797e-004, |
---|
| 2302 | -1.48934756e-004, 0.00000000e+000, -5.35079969e-005, |
---|
| 2303 | 0.00000000e+000, -2.57264987e-005, 0.00000000e+000, |
---|
| 2304 | -2.57264987e-005, 0.00000000e+000, -2.57264987e-005, |
---|
| 2305 | 0.00000000e+000, -2.57264987e-005, 0.00000000e+000, |
---|
| 2306 | -2.57264987e-005, 0.00000000e+000, -2.57264987e-005, |
---|
| 2307 | 0.00000000e+000, -2.57635178e-005] |
---|
| 2308 | |
---|
| 2309 | |
---|
| 2310 | domain.set_quantity('stage', L, location='centroids') |
---|
| 2311 | domain.set_quantity('xmomentum', X, location='centroids') |
---|
| 2312 | domain.set_quantity('ymomentum', Y, location='centroids') |
---|
| 2313 | |
---|
| 2314 | domain.check_integrity() |
---|
| 2315 | else: |
---|
| 2316 | #Evolution |
---|
| 2317 | for t in domain.evolve(yieldstep = 0.01, finaltime = 0.03): |
---|
| 2318 | pass |
---|
| 2319 | assert allclose(domain.min_timestep, 0.0210448446782) |
---|
| 2320 | assert allclose(domain.max_timestep, 0.0210448446782) |
---|
| 2321 | |
---|
| 2322 | |
---|
| 2323 | #Centroids were correct but not vertices. |
---|
| 2324 | #Hence the check of distribute below. |
---|
| 2325 | assert allclose(domain.quantities['stage'].centroid_values[:4], |
---|
| 2326 | [0.00721206,0.05352143,0.01009108,0.05354394]) |
---|
| 2327 | |
---|
| 2328 | assert allclose(domain.quantities['xmomentum'].centroid_values[:4], |
---|
| 2329 | [0.00648352,0.03685719,0.00850733,0.03687313]) |
---|
| 2330 | |
---|
| 2331 | assert allclose(domain.quantities['ymomentum'].centroid_values[:4], |
---|
| 2332 | [-0.00139463,0.0006156,-0.00060364,0.00061827]) |
---|
| 2333 | |
---|
| 2334 | #print 'C17=', domain.quantities['xmomentum'].centroid_values[17] |
---|
| 2335 | #print 'C19=', domain.quantities['xmomentum'].centroid_values[19] |
---|
| 2336 | |
---|
| 2337 | #assert allclose(domain.quantities['xmomentum'].centroid_values[17],0.00028606084) |
---|
| 2338 | ##print domain.quantities['xmomentum'].centroid_values[17], V |
---|
| 2339 | ##print |
---|
| 2340 | if not V: |
---|
[2565] | 2341 | #FIXME: These numbers were from version before 21/3/6 - |
---|
| 2342 | #could be recreated by setting maximum_allowed_speed to 0 maybe |
---|
| 2343 | |
---|
| 2344 | #assert allclose(domain.quantities['xmomentum'].centroid_values[17], 0.0) |
---|
| 2345 | assert allclose(domain.quantities['xmomentum'].centroid_values[17], 0.000286060839592) |
---|
| 2346 | |
---|
[2526] | 2347 | else: |
---|
| 2348 | assert allclose(domain.quantities['xmomentum'].centroid_values[17], 0.00028606084) |
---|
| 2349 | |
---|
| 2350 | import copy |
---|
| 2351 | XX = copy.copy(domain.quantities['xmomentum'].centroid_values) |
---|
| 2352 | assert allclose(domain.quantities['xmomentum'].centroid_values, XX) |
---|
| 2353 | |
---|
| 2354 | domain.distribute_to_vertices_and_edges() |
---|
| 2355 | |
---|
| 2356 | #assert allclose(domain.quantities['xmomentum'].centroid_values, XX) |
---|
| 2357 | |
---|
[2565] | 2358 | #assert allclose(domain.quantities['xmomentum'].centroid_values[17], |
---|
| 2359 | # 0.0) |
---|
| 2360 | assert allclose(domain.quantities['xmomentum'].centroid_values[17], 0.000286060839592) |
---|
[2526] | 2361 | |
---|
| 2362 | |
---|
| 2363 | #FIXME: These numbers were from version before 25/10 |
---|
| 2364 | #assert allclose(domain.quantities['stage'].vertex_values[:4,0], |
---|
| 2365 | # [0.00101913,0.05352143,0.00104852,0.05354394]) |
---|
| 2366 | |
---|
| 2367 | assert allclose(domain.quantities['ymomentum'].vertex_values[:4,0], |
---|
| 2368 | [-0.00139463,0.0006156,-0.00060364,0.00061827]) |
---|
| 2369 | |
---|
| 2370 | |
---|
| 2371 | assert allclose(domain.quantities['xmomentum'].vertex_values[:4,0], |
---|
[2565] | 2372 | [0.00090581,0.03685719,0.00088303,0.03687313]) |
---|
[2526] | 2373 | |
---|
| 2374 | |
---|
| 2375 | #NB NO longer relvant: |
---|
| 2376 | |
---|
| 2377 | #This was the culprit. First triangles vertex 0 had an |
---|
| 2378 | #x-momentum of 0.0064835 instead of 0.00090581 and |
---|
| 2379 | #third triangle had 0.00850733 instead of 0.00088303 |
---|
| 2380 | #print domain.quantities['xmomentum'].vertex_values[:4,0] |
---|
| 2381 | |
---|
| 2382 | #print domain.quantities['xmomentum'].vertex_values[:4,0] |
---|
| 2383 | #assert allclose(domain.quantities['xmomentum'].vertex_values[:4,0], |
---|
| 2384 | # [0.00090581,0.03685719,0.00088303,0.03687313]) |
---|
| 2385 | |
---|
| 2386 | os.remove(domain.filename + '.sww') |
---|
| 2387 | |
---|
| 2388 | |
---|
| 2389 | |
---|
| 2390 | def test_bedslope_problem_first_order(self): |
---|
| 2391 | |
---|
| 2392 | from mesh_factory import rectangular |
---|
| 2393 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2394 | from Numeric import array |
---|
| 2395 | |
---|
| 2396 | #Create basic mesh |
---|
| 2397 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2398 | |
---|
| 2399 | #Create shallow water domain |
---|
| 2400 | domain = Domain(points, vertices, boundary) |
---|
| 2401 | domain.smooth = False |
---|
| 2402 | domain.default_order=1 |
---|
| 2403 | |
---|
| 2404 | #Bed-slope and friction |
---|
| 2405 | def x_slope(x, y): |
---|
| 2406 | return -x/3 |
---|
| 2407 | |
---|
| 2408 | domain.set_quantity('elevation', x_slope) |
---|
| 2409 | |
---|
| 2410 | # Boundary conditions |
---|
| 2411 | Br = Reflective_boundary(domain) |
---|
| 2412 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2413 | |
---|
| 2414 | #Initial condition |
---|
| 2415 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2416 | domain.check_integrity() |
---|
| 2417 | |
---|
| 2418 | #Evolution |
---|
| 2419 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.05): |
---|
| 2420 | pass# domain.write_time() |
---|
| 2421 | |
---|
| 2422 | assert allclose(domain.min_timestep, 0.050010003001) |
---|
| 2423 | assert allclose(domain.max_timestep, 0.050010003001) |
---|
| 2424 | |
---|
| 2425 | |
---|
| 2426 | os.remove(domain.filename + '.sww') |
---|
| 2427 | |
---|
| 2428 | def test_bedslope_problem_first_order_moresteps(self): |
---|
| 2429 | |
---|
| 2430 | from mesh_factory import rectangular |
---|
| 2431 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2432 | from Numeric import array |
---|
| 2433 | |
---|
| 2434 | #Create basic mesh |
---|
| 2435 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2436 | |
---|
| 2437 | #Create shallow water domain |
---|
| 2438 | domain = Domain(points, vertices, boundary) |
---|
| 2439 | domain.smooth = False |
---|
| 2440 | domain.default_order=1 |
---|
| 2441 | domain.beta_h = 0.0 #Use first order in h-limiter |
---|
| 2442 | |
---|
| 2443 | #Bed-slope and friction |
---|
| 2444 | def x_slope(x, y): |
---|
| 2445 | return -x/3 |
---|
| 2446 | |
---|
| 2447 | domain.set_quantity('elevation', x_slope) |
---|
| 2448 | |
---|
| 2449 | # Boundary conditions |
---|
| 2450 | Br = Reflective_boundary(domain) |
---|
| 2451 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2452 | |
---|
| 2453 | #Initial condition |
---|
| 2454 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2455 | domain.check_integrity() |
---|
| 2456 | |
---|
| 2457 | #Evolution |
---|
| 2458 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.5): |
---|
| 2459 | pass# domain.write_time() |
---|
| 2460 | |
---|
| 2461 | #Data from earlier version of pyvolution |
---|
| 2462 | #print domain.quantities['stage'].centroid_values |
---|
| 2463 | |
---|
| 2464 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2465 | [-0.02998628, -0.01520652, -0.03043492, |
---|
| 2466 | -0.0149132, -0.03004706, -0.01476251, |
---|
| 2467 | -0.0298215, -0.01467976, -0.02988158, |
---|
| 2468 | -0.01474662, -0.03036161, -0.01442995, |
---|
| 2469 | -0.07624583, -0.06297061, -0.07733792, |
---|
| 2470 | -0.06342237, -0.07695439, -0.06289595, |
---|
| 2471 | -0.07635559, -0.0626065, -0.07633628, |
---|
| 2472 | -0.06280072, -0.07739632, -0.06386738, |
---|
| 2473 | -0.12161738, -0.11028239, -0.1223796, |
---|
| 2474 | -0.11095953, -0.12189744, -0.11048616, |
---|
| 2475 | -0.12074535, -0.10987605, -0.12014311, |
---|
| 2476 | -0.10976691, -0.12096859, -0.11087692, |
---|
| 2477 | -0.16868259, -0.15868061, -0.16801135, |
---|
| 2478 | -0.1588003, -0.16674343, -0.15813323, |
---|
| 2479 | -0.16457595, -0.15693826, -0.16281096, |
---|
| 2480 | -0.15585154, -0.16283873, -0.15540068, |
---|
| 2481 | -0.17450362, -0.19919913, -0.18062882, |
---|
| 2482 | -0.19764131, -0.17783111, -0.19407213, |
---|
| 2483 | -0.1736915, -0.19053624, -0.17228678, |
---|
| 2484 | -0.19105634, -0.17920133, -0.1968828, |
---|
| 2485 | -0.14244395, -0.14604641, -0.14473537, |
---|
| 2486 | -0.1506107, -0.14510055, -0.14919522, |
---|
| 2487 | -0.14175896, -0.14560798, -0.13911658, |
---|
| 2488 | -0.14439383, -0.13924047, -0.14829043]) |
---|
| 2489 | |
---|
| 2490 | os.remove(domain.filename + '.sww') |
---|
| 2491 | |
---|
| 2492 | def test_bedslope_problem_second_order_one_step(self): |
---|
| 2493 | |
---|
| 2494 | from mesh_factory import rectangular |
---|
| 2495 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2496 | from Numeric import array |
---|
| 2497 | |
---|
| 2498 | #Create basic mesh |
---|
| 2499 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2500 | |
---|
| 2501 | #Create shallow water domain |
---|
| 2502 | domain = Domain(points, vertices, boundary) |
---|
| 2503 | domain.smooth = False |
---|
| 2504 | domain.default_order=2 |
---|
| 2505 | |
---|
| 2506 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 2507 | def x_slope(x, y): |
---|
| 2508 | return -x/3 |
---|
| 2509 | |
---|
| 2510 | domain.set_quantity('elevation', x_slope) |
---|
| 2511 | |
---|
| 2512 | # Boundary conditions |
---|
| 2513 | Br = Reflective_boundary(domain) |
---|
| 2514 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2515 | |
---|
| 2516 | #Initial condition |
---|
| 2517 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2518 | domain.check_integrity() |
---|
| 2519 | |
---|
| 2520 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2521 | [0.01296296, 0.03148148, 0.01296296, |
---|
| 2522 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2523 | 0.01296296, 0.03148148, 0.01296296, |
---|
| 2524 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2525 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2526 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2527 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2528 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2529 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2530 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2531 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2532 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2533 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2534 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2535 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2536 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2537 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2538 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2539 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2540 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2541 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2542 | -0.2462963, -0.26481481, -0.2462963, |
---|
| 2543 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2544 | -0.2462963, -0.26481481, -0.2462963]) |
---|
| 2545 | |
---|
| 2546 | |
---|
| 2547 | #print domain.quantities['stage'].extrapolate_second_order() |
---|
| 2548 | #domain.distribute_to_vertices_and_edges() |
---|
| 2549 | #print domain.quantities['stage'].vertex_values[:,0] |
---|
| 2550 | |
---|
| 2551 | #Evolution |
---|
| 2552 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.05): |
---|
| 2553 | #domain.write_time() |
---|
| 2554 | pass |
---|
| 2555 | |
---|
| 2556 | |
---|
| 2557 | #print domain.quantities['stage'].centroid_values |
---|
| 2558 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2559 | [0.01290985, 0.02356019, 0.01619096, 0.02356019, 0.01619096, |
---|
| 2560 | 0.02356019, 0.01619096, 0.02356019, 0.01619096, 0.02356019, |
---|
| 2561 | 0.01619096, 0.0268413, -0.04411074, -0.0248011, -0.04186556, |
---|
| 2562 | -0.0248011, -0.04186556, -0.0248011, -0.04186556, -0.0248011, |
---|
| 2563 | -0.04186556, -0.0248011, -0.04186556, -0.02255593, |
---|
| 2564 | -0.09966629, -0.08035666, -0.09742112, -0.08035666, |
---|
| 2565 | -0.09742112, -0.08035666, -0.09742112, -0.08035666, |
---|
| 2566 | -0.09742112, -0.08035666, -0.09742112, -0.07811149, |
---|
| 2567 | -0.15522185, -0.13591222, -0.15297667, -0.13591222, |
---|
| 2568 | -0.15297667, -0.13591222, -0.15297667, -0.13591222, |
---|
| 2569 | -0.15297667, -0.13591222, -0.15297667, -0.13366704, |
---|
| 2570 | -0.2107774, -0.19146777, -0.20853223, -0.19146777, |
---|
| 2571 | -0.20853223, -0.19146777, -0.20853223, -0.19146777, |
---|
| 2572 | -0.20853223, -0.19146777, -0.20853223, -0.1892226, |
---|
| 2573 | -0.26120669, -0.24776246, -0.25865535, -0.24776246, |
---|
| 2574 | -0.25865535, -0.24776246, -0.25865535, -0.24776246, |
---|
| 2575 | -0.25865535, -0.24776246, -0.25865535, -0.24521113]) |
---|
| 2576 | |
---|
| 2577 | os.remove(domain.filename + '.sww') |
---|
| 2578 | |
---|
| 2579 | def test_bedslope_problem_second_order_two_steps(self): |
---|
| 2580 | |
---|
| 2581 | from mesh_factory import rectangular |
---|
| 2582 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2583 | from Numeric import array |
---|
| 2584 | |
---|
| 2585 | #Create basic mesh |
---|
| 2586 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2587 | |
---|
| 2588 | #Create shallow water domain |
---|
| 2589 | domain = Domain(points, vertices, boundary) |
---|
| 2590 | domain.smooth = False |
---|
| 2591 | domain.default_order=2 |
---|
| 2592 | domain.beta_h = 0.0 #Use first order in h-limiter |
---|
| 2593 | |
---|
| 2594 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 2595 | def x_slope(x, y): |
---|
| 2596 | return -x/3 |
---|
| 2597 | |
---|
| 2598 | domain.set_quantity('elevation', x_slope) |
---|
| 2599 | |
---|
| 2600 | # Boundary conditions |
---|
| 2601 | Br = Reflective_boundary(domain) |
---|
| 2602 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2603 | |
---|
| 2604 | #Initial condition |
---|
| 2605 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2606 | domain.check_integrity() |
---|
| 2607 | |
---|
| 2608 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2609 | [0.01296296, 0.03148148, 0.01296296, |
---|
| 2610 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2611 | 0.01296296, 0.03148148, 0.01296296, |
---|
| 2612 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2613 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2614 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2615 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2616 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2617 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2618 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2619 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2620 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2621 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2622 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2623 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2624 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2625 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2626 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2627 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2628 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2629 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2630 | -0.2462963, -0.26481481, -0.2462963, |
---|
| 2631 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2632 | -0.2462963, -0.26481481, -0.2462963]) |
---|
| 2633 | |
---|
| 2634 | |
---|
| 2635 | #print domain.quantities['stage'].extrapolate_second_order() |
---|
| 2636 | #domain.distribute_to_vertices_and_edges() |
---|
| 2637 | #print domain.quantities['stage'].vertex_values[:,0] |
---|
| 2638 | |
---|
| 2639 | #Evolution |
---|
| 2640 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.1): |
---|
| 2641 | pass |
---|
| 2642 | |
---|
| 2643 | |
---|
| 2644 | #Data from earlier version of pyvolution ft=0.1 |
---|
| 2645 | assert allclose(domain.min_timestep, 0.0376895634803) |
---|
| 2646 | assert allclose(domain.max_timestep, 0.0415635655309) |
---|
| 2647 | |
---|
| 2648 | |
---|
| 2649 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2650 | [0.00855788, 0.01575204, 0.00994606, 0.01717072, |
---|
| 2651 | 0.01005985, 0.01716362, 0.01005985, 0.01716299, |
---|
| 2652 | 0.01007098, 0.01736248, 0.01216452, 0.02026776, |
---|
| 2653 | -0.04462374, -0.02479045, -0.04199789, -0.0229465, |
---|
| 2654 | -0.04184033, -0.02295693, -0.04184013, -0.02295675, |
---|
| 2655 | -0.04184486, -0.0228168, -0.04028876, -0.02036486, |
---|
| 2656 | -0.10029444, -0.08170809, -0.09772846, -0.08021704, |
---|
| 2657 | -0.09760006, -0.08022143, -0.09759984, -0.08022124, |
---|
| 2658 | -0.09760261, -0.08008893, -0.09603914, -0.07758209, |
---|
| 2659 | -0.15584152, -0.13723138, -0.15327266, -0.13572906, |
---|
| 2660 | -0.15314427, -0.13573349, -0.15314405, -0.13573331, |
---|
| 2661 | -0.15314679, -0.13560104, -0.15158523, -0.13310701, |
---|
| 2662 | -0.21208605, -0.19283913, -0.20955631, -0.19134189, |
---|
| 2663 | -0.20942821, -0.19134598, -0.20942799, -0.1913458, |
---|
| 2664 | -0.20943005, -0.19120952, -0.20781177, -0.18869401, |
---|
| 2665 | -0.25384082, -0.2463294, -0.25047649, -0.24464654, |
---|
| 2666 | -0.25031159, -0.24464253, -0.25031112, -0.24464253, |
---|
| 2667 | -0.25031463, -0.24454764, -0.24885323, -0.24286438]) |
---|
| 2668 | |
---|
| 2669 | |
---|
| 2670 | os.remove(domain.filename + '.sww') |
---|
| 2671 | |
---|
| 2672 | def test_bedslope_problem_second_order_two_yieldsteps(self): |
---|
| 2673 | |
---|
| 2674 | from mesh_factory import rectangular |
---|
| 2675 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2676 | from Numeric import array |
---|
| 2677 | |
---|
| 2678 | #Create basic mesh |
---|
| 2679 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2680 | |
---|
| 2681 | #Create shallow water domain |
---|
| 2682 | domain = Domain(points, vertices, boundary) |
---|
| 2683 | domain.smooth = False |
---|
| 2684 | domain.default_order=2 |
---|
| 2685 | domain.beta_h = 0.0 #Use first order in h-limiter |
---|
| 2686 | |
---|
| 2687 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 2688 | def x_slope(x, y): |
---|
| 2689 | return -x/3 |
---|
| 2690 | |
---|
| 2691 | domain.set_quantity('elevation', x_slope) |
---|
| 2692 | |
---|
| 2693 | # Boundary conditions |
---|
| 2694 | Br = Reflective_boundary(domain) |
---|
| 2695 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2696 | |
---|
| 2697 | #Initial condition |
---|
| 2698 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2699 | domain.check_integrity() |
---|
| 2700 | |
---|
| 2701 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2702 | [0.01296296, 0.03148148, 0.01296296, |
---|
| 2703 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2704 | 0.01296296, 0.03148148, 0.01296296, |
---|
| 2705 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2706 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2707 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2708 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2709 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2710 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2711 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2712 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2713 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2714 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2715 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2716 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2717 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2718 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2719 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2720 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2721 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2722 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2723 | -0.2462963, -0.26481481, -0.2462963, |
---|
| 2724 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2725 | -0.2462963, -0.26481481, -0.2462963]) |
---|
| 2726 | |
---|
| 2727 | |
---|
| 2728 | #print domain.quantities['stage'].extrapolate_second_order() |
---|
| 2729 | #domain.distribute_to_vertices_and_edges() |
---|
| 2730 | #print domain.quantities['stage'].vertex_values[:,0] |
---|
| 2731 | |
---|
| 2732 | #Evolution |
---|
| 2733 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.1): #0.05?? |
---|
| 2734 | #domain.write_time() |
---|
| 2735 | pass |
---|
| 2736 | |
---|
| 2737 | |
---|
| 2738 | |
---|
| 2739 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2740 | [0.00855788, 0.01575204, 0.00994606, 0.01717072, 0.01005985, |
---|
| 2741 | 0.01716362, 0.01005985, 0.01716299, 0.01007098, 0.01736248, |
---|
| 2742 | 0.01216452, 0.02026776, -0.04462374, -0.02479045, -0.04199789, |
---|
| 2743 | -0.0229465, -0.04184033, -0.02295693, -0.04184013, |
---|
| 2744 | -0.02295675, -0.04184486, -0.0228168, -0.04028876, |
---|
| 2745 | -0.02036486, -0.10029444, -0.08170809, -0.09772846, |
---|
| 2746 | -0.08021704, -0.09760006, -0.08022143, -0.09759984, |
---|
| 2747 | -0.08022124, -0.09760261, -0.08008893, -0.09603914, |
---|
| 2748 | -0.07758209, -0.15584152, -0.13723138, -0.15327266, |
---|
| 2749 | -0.13572906, -0.15314427, -0.13573349, -0.15314405, |
---|
| 2750 | -0.13573331, -0.15314679, -0.13560104, -0.15158523, |
---|
| 2751 | -0.13310701, -0.21208605, -0.19283913, -0.20955631, |
---|
| 2752 | -0.19134189, -0.20942821, -0.19134598, -0.20942799, |
---|
| 2753 | -0.1913458, -0.20943005, -0.19120952, -0.20781177, |
---|
| 2754 | -0.18869401, -0.25384082, -0.2463294, -0.25047649, |
---|
| 2755 | -0.24464654, -0.25031159, -0.24464253, -0.25031112, |
---|
| 2756 | -0.24464253, -0.25031463, -0.24454764, -0.24885323, |
---|
| 2757 | -0.24286438]) |
---|
| 2758 | |
---|
| 2759 | os.remove(domain.filename + '.sww') |
---|
| 2760 | |
---|
| 2761 | def test_bedslope_problem_second_order_more_steps(self): |
---|
| 2762 | |
---|
| 2763 | from mesh_factory import rectangular |
---|
| 2764 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2765 | from Numeric import array |
---|
| 2766 | |
---|
| 2767 | #Create basic mesh |
---|
| 2768 | points, vertices, boundary = rectangular(6, 6) |
---|
| 2769 | |
---|
| 2770 | #Create shallow water domain |
---|
| 2771 | domain = Domain(points, vertices, boundary) |
---|
| 2772 | domain.smooth = False |
---|
| 2773 | domain.default_order=2 |
---|
| 2774 | domain.beta_h = 0.0 #Use first order in h-limiter |
---|
| 2775 | |
---|
| 2776 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 2777 | def x_slope(x, y): |
---|
| 2778 | return -x/3 |
---|
| 2779 | |
---|
| 2780 | domain.set_quantity('elevation', x_slope) |
---|
| 2781 | |
---|
| 2782 | # Boundary conditions |
---|
| 2783 | Br = Reflective_boundary(domain) |
---|
| 2784 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2785 | |
---|
| 2786 | #Initial condition |
---|
| 2787 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2788 | domain.check_integrity() |
---|
| 2789 | |
---|
| 2790 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2791 | [0.01296296, 0.03148148, 0.01296296, |
---|
| 2792 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2793 | 0.01296296, 0.03148148, 0.01296296, |
---|
| 2794 | 0.03148148, 0.01296296, 0.03148148, |
---|
| 2795 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2796 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2797 | -0.04259259, -0.02407407, -0.04259259, |
---|
| 2798 | -0.02407407, -0.04259259, -0.02407407, |
---|
| 2799 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2800 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2801 | -0.09814815, -0.07962963, -0.09814815, |
---|
| 2802 | -0.07962963, -0.09814815, -0.07962963, |
---|
| 2803 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2804 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2805 | -0.1537037 , -0.13518519, -0.1537037, |
---|
| 2806 | -0.13518519, -0.1537037, -0.13518519, |
---|
| 2807 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2808 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2809 | -0.20925926, -0.19074074, -0.20925926, |
---|
| 2810 | -0.19074074, -0.20925926, -0.19074074, |
---|
| 2811 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2812 | -0.2462963, -0.26481481, -0.2462963, |
---|
| 2813 | -0.26481481, -0.2462963, -0.26481481, |
---|
| 2814 | -0.2462963, -0.26481481, -0.2462963]) |
---|
| 2815 | |
---|
| 2816 | |
---|
| 2817 | #print domain.quantities['stage'].extrapolate_second_order() |
---|
| 2818 | #domain.distribute_to_vertices_and_edges() |
---|
| 2819 | #print domain.quantities['stage'].vertex_values[:,0] |
---|
| 2820 | |
---|
| 2821 | #Evolution |
---|
| 2822 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.5): |
---|
| 2823 | pass |
---|
| 2824 | |
---|
| 2825 | |
---|
| 2826 | assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2827 | [-0.02907028, -0.01475478, -0.02973417, -0.01447186, -0.02932665, -0.01428285, |
---|
| 2828 | -0.02901975, -0.0141361, -0.02898816, -0.01418135, -0.02961409, -0.01403487, |
---|
| 2829 | -0.07597998, -0.06252591, -0.07664854, -0.06312532, -0.07638287, -0.06265139, |
---|
| 2830 | -0.07571145, -0.06235231, -0.0756817, -0.06245309, -0.07652292, -0.06289946, |
---|
| 2831 | -0.12367464, -0.11088981, -0.12237277, -0.11115338, -0.1218934, -0.1107174, |
---|
| 2832 | -0.12081485, -0.11000491, -0.12038451, -0.11010335, -0.12102113, -0.11012105, |
---|
| 2833 | -0.16909116, -0.15831543, -0.16730214, -0.15786249, -0.1665493, -0.15697919, |
---|
| 2834 | -0.16496618, -0.15559852, -0.16338679, -0.15509088, -0.16364092, -0.15424423, |
---|
| 2835 | -0.18771107, -0.19903904, -0.18903759, -0.19858437, -0.18701552, -0.19697797, |
---|
| 2836 | -0.1833593, -0.19505871, -0.1818806, -0.19418042, -0.18586159, -0.19576946, |
---|
| 2837 | -0.13986873, -0.14170053, -0.14132188, -0.14560674, -0.14095617, -0.14373292, |
---|
| 2838 | -0.13785933, -0.14033364, -0.13592955, -0.13936356, -0.13596008, -0.14216296]) |
---|
| 2839 | |
---|
| 2840 | assert allclose(domain.quantities['xmomentum'].centroid_values, |
---|
| 2841 | [ 0.00831121, 0.00317948, 0.00731797, 0.00334939, 0.00764717, 0.00348053, |
---|
| 2842 | 0.00788729, 0.00356522, 0.00780649, 0.00341919, 0.00693525, 0.00310375, |
---|
| 2843 | 0.02166196, 0.01421475, 0.02017737, 0.01316839, 0.02037015, 0.01368659, |
---|
| 2844 | 0.02106, 0.01399161, 0.02074514, 0.01354935, 0.01887407, 0.0123113, |
---|
| 2845 | 0.03775083, 0.02855197, 0.03689337, 0.02759782, 0.03732848, 0.02812072, |
---|
| 2846 | 0.03872545, 0.02913348, 0.03880939, 0.02803804, 0.03546499, 0.0260039, |
---|
| 2847 | 0.0632131, 0.04730634, 0.0576324, 0.04592336, 0.05790921, 0.04690514, |
---|
| 2848 | 0.05986467, 0.04871165, 0.06170068, 0.04811572, 0.05657041, 0.04416292, |
---|
| 2849 | 0.08489642, 0.07188097, 0.07835261, 0.06843406, 0.07986412, 0.0698247, |
---|
| 2850 | 0.08201071, 0.07216756, 0.08378418, 0.07273624, 0.080399, 0.06645841, |
---|
| 2851 | 0.01631548, 0.04691608, 0.0206632, 0.044409, 0.02115518, 0.04560305, |
---|
| 2852 | 0.02160608, 0.04663725, 0.02174734, 0.04795559, 0.02281427, 0.05667111]) |
---|
| 2853 | |
---|
| 2854 | |
---|
| 2855 | assert allclose(domain.quantities['ymomentum'].centroid_values, |
---|
| 2856 | [ 1.45876601e-004, -3.24627393e-004, -1.57572719e-004, -2.92790187e-004, |
---|
| 2857 | -9.90988382e-005, -3.06677335e-004, -1.62493106e-004, -3.71310004e-004, |
---|
| 2858 | -1.99445058e-004, -3.28493467e-004, 6.68217349e-005, -8.42042805e-006, |
---|
| 2859 | 5.05093371e-004, -1.42842214e-004, -6.81454718e-005, -5.02084057e-004, |
---|
| 2860 | -8.50583861e-005, -4.65443981e-004, -1.96406564e-004, -5.88889562e-004, |
---|
| 2861 | -2.70160173e-004, -5.35485454e-004, 2.60780997e-004, 3.12145471e-005, |
---|
| 2862 | 5.16189608e-004, 1.07069062e-004, 9.29989252e-005, -3.71211119e-004, |
---|
| 2863 | 1.16350246e-004, -3.82407830e-004, -1.62077969e-004, -6.30906636e-004, |
---|
| 2864 | -4.74025708e-004, -6.94463009e-004, 6.15092843e-005, 2.22106820e-004, |
---|
| 2865 | -6.29589294e-004, 2.43611937e-004, -5.88125094e-004, -6.94293192e-005, |
---|
| 2866 | -4.17914641e-004, 6.64609019e-005, -7.68334577e-004, -3.40232101e-004, |
---|
| 2867 | -1.67424308e-003, -7.39485066e-004, -1.59966988e-003, 5.68262838e-005, |
---|
| 2868 | -1.48470633e-003, -1.84554882e-003, -2.27200099e-003, -1.67506848e-003, |
---|
| 2869 | -1.95610258e-003, -1.47638801e-003, -1.73779477e-003, -1.85498791e-003, |
---|
| 2870 | -2.01357843e-003, -2.17675471e-003, -1.65783870e-003, -1.15818681e-003, |
---|
| 2871 | -1.18663036e-003, -2.94229849e-003, -3.59309018e-003, -5.13496584e-003, |
---|
| 2872 | -6.17359400e-003, -5.98761937e-003, -6.00540116e-003, -5.01121966e-003, |
---|
| 2873 | -4.50964850e-003, -3.06319963e-003, 6.08950810e-004, -4.79537921e-004]) |
---|
| 2874 | |
---|
| 2875 | os.remove(domain.filename + '.sww') |
---|
| 2876 | |
---|
| 2877 | |
---|
| 2878 | def test_temp_play(self): |
---|
| 2879 | |
---|
| 2880 | from mesh_factory import rectangular |
---|
| 2881 | from shallow_water import Domain, Reflective_boundary, Constant_height |
---|
| 2882 | from Numeric import array |
---|
| 2883 | |
---|
| 2884 | #Create basic mesh |
---|
| 2885 | points, vertices, boundary = rectangular(5, 5) |
---|
| 2886 | |
---|
| 2887 | #Create shallow water domain |
---|
| 2888 | domain = Domain(points, vertices, boundary) |
---|
| 2889 | domain.smooth = False |
---|
| 2890 | domain.default_order=2 |
---|
| 2891 | domain.beta_h = 0.0 #Use first order in h-limiter |
---|
| 2892 | |
---|
| 2893 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 2894 | def x_slope(x, y): |
---|
| 2895 | return -x/3 |
---|
| 2896 | |
---|
| 2897 | domain.set_quantity('elevation', x_slope) |
---|
| 2898 | |
---|
| 2899 | # Boundary conditions |
---|
| 2900 | Br = Reflective_boundary(domain) |
---|
| 2901 | domain.set_boundary({'left': Br, 'right': Br, 'top': Br, 'bottom': Br}) |
---|
| 2902 | |
---|
| 2903 | #Initial condition |
---|
| 2904 | domain.set_quantity('stage', Constant_height(x_slope, 0.05)) |
---|
| 2905 | domain.check_integrity() |
---|
| 2906 | |
---|
| 2907 | #Evolution |
---|
| 2908 | for t in domain.evolve(yieldstep = 0.05, finaltime = 0.1): |
---|
| 2909 | pass |
---|
| 2910 | |
---|
| 2911 | assert allclose(domain.quantities['stage'].centroid_values[:4], |
---|
| 2912 | [0.00206836, 0.01296714, 0.00363415, 0.01438924]) |
---|
| 2913 | assert allclose(domain.quantities['xmomentum'].centroid_values[:4], |
---|
| 2914 | [0.01360154, 0.00671133, 0.01264578, 0.00648503]) |
---|
| 2915 | assert allclose(domain.quantities['ymomentum'].centroid_values[:4], |
---|
| 2916 | [-1.19201077e-003, -7.23647546e-004, |
---|
| 2917 | -6.39083123e-005, 6.29815168e-005]) |
---|
| 2918 | |
---|
| 2919 | os.remove(domain.filename + '.sww') |
---|
| 2920 | |
---|
| 2921 | def test_complex_bed(self): |
---|
| 2922 | #No friction is tested here |
---|
| 2923 | |
---|
| 2924 | from shallow_water import Domain, Reflective_boundary, Dirichlet_boundary,\ |
---|
| 2925 | Transmissive_boundary, Time_boundary,\ |
---|
| 2926 | Weir_simple as Weir, Constant_height |
---|
| 2927 | |
---|
| 2928 | from mesh_factory import rectangular |
---|
| 2929 | from Numeric import array |
---|
| 2930 | |
---|
| 2931 | N = 12 |
---|
| 2932 | points, vertices, boundary = rectangular(N, N/2, len1=1.2,len2=0.6, |
---|
| 2933 | origin=(-0.07, 0)) |
---|
| 2934 | |
---|
| 2935 | |
---|
| 2936 | domain = Domain(points, vertices, boundary) |
---|
| 2937 | domain.smooth = False |
---|
| 2938 | domain.visualise = False |
---|
| 2939 | domain.default_order=2 |
---|
| 2940 | |
---|
| 2941 | |
---|
| 2942 | inflow_stage = 0.1 |
---|
| 2943 | Z = Weir(inflow_stage) |
---|
| 2944 | domain.set_quantity('elevation', Z) |
---|
| 2945 | |
---|
| 2946 | Br = Reflective_boundary(domain) |
---|
| 2947 | Bd = Dirichlet_boundary([inflow_stage, 0.0, 0.0]) |
---|
| 2948 | domain.set_boundary({'left': Bd, 'right': Br, 'bottom': Br, 'top': Br}) |
---|
| 2949 | |
---|
| 2950 | domain.set_quantity('stage', Constant_height(Z, 0.)) |
---|
| 2951 | |
---|
| 2952 | for t in domain.evolve(yieldstep = 0.02, finaltime = 0.2): |
---|
| 2953 | pass |
---|
| 2954 | |
---|
| 2955 | |
---|
| 2956 | #print domain.quantities['stage'].centroid_values |
---|
| 2957 | |
---|
| 2958 | #FIXME: These numbers were from version before 25/10 |
---|
| 2959 | #assert allclose(domain.quantities['stage'].centroid_values, |
---|
| 2960 | # [3.95822638e-002, 5.61022588e-002, 4.66437868e-002, 5.73081011e-002, |
---|
| 2961 | # 4.72394613e-002, 5.74684939e-002, 4.74309483e-002, 5.77458084e-002, |
---|
| 2962 | # 4.80628177e-002, 5.85656225e-002, 4.90498542e-002, 6.02609831e-002, |
---|
| 2963 | # 1.18470315e-002, 1.75136443e-002, 1.18035266e-002, 2.15565695e-002, |
---|
| 2964 | # 1.31620268e-002, 2.14351640e-002, 1.32351076e-002, 2.15450687e-002, |
---|
| 2965 | # 1.36414028e-002, 2.24274619e-002, 1.51689511e-002, 2.21789655e-002, |
---|
| 2966 | # -7.54337535e-003, -6.86362021e-004, -7.74146760e-003, -1.83756530e-003, |
---|
| 2967 | # -8.16773628e-003, -4.49916813e-004, -8.08202599e-003, -3.91118720e-004, |
---|
| 2968 | # -8.10292716e-003, -3.88584984e-004, -7.35226124e-003, 2.73985295e-004, |
---|
| 2969 | # 1.86166683e-001, 8.74070369e-002, 1.86166712e-001, 8.74035875e-002, |
---|
| 2970 | # 6.11666935e-002, -3.76173225e-002, -6.38333276e-002, -3.76147365e-002, |
---|
| 2971 | # 6.11666725e-002, 8.73846774e-002, 1.86166697e-001, 8.74171550e-002, |
---|
| 2972 | # -4.83333333e-002, 1.18333333e-001, -4.83333333e-002, 1.18333333e-001, |
---|
| 2973 | # -4.83333333e-002, -6.66666667e-003, -1.73333333e-001, -1.31666667e-001, |
---|
| 2974 | # -1.73333333e-001, -6.66666667e-003, -4.83333333e-002, 1.18333333e-001, |
---|
| 2975 | # -2.48333333e-001, -2.31666667e-001, -2.48333333e-001, -2.31666667e-001, |
---|
| 2976 | # -2.48333333e-001, -2.31666667e-001, -2.48333333e-001, -2.31666667e-001, |
---|
| 2977 | # -2.48333333e-001, -2.31666667e-001, -2.48333333e-001, -2.31666667e-001, |
---|
| 2978 | # -4.65000000e-001, -3.65000000e-001, -4.65000000e-001, -3.65000000e-001, |
---|
| 2979 | # -4.65000000e-001, -3.65000000e-001, -4.65000000e-001, -3.65000000e-001, |
---|
| 2980 | # -4.65000000e-001, -3.65000000e-001, -4.65000000e-001, -3.65000000e-001, |
---|
| 2981 | # -5.98333333e-001, -5.81666667e-001, -5.98333333e-001, -5.81666667e-001, |
---|
| 2982 | # -5.98333333e-001, -5.81666667e-001, -5.98333333e-001, -5.81666667e-001, |
---|
| 2983 | # -5.98333333e-001, -5.81666667e-001, -5.98333333e-001, -5.81666667e-001, |
---|
| 2984 | # -6.48333333e-001, -6.31666667e-001, -6.48333333e-001, -6.31666667e-001, |
---|
| 2985 | # -6.48333333e-001, -6.31666667e-001, -6.48333333e-001, -6.31666667e-001, |
---|
| 2986 | # -6.48333333e-001, -6.31666667e-001, -6.48333333e-001, -6.31666667e-001, |
---|
| 2987 | # -5.31666667e-001, -5.98333333e-001, -5.31666667e-001, -5.98333333e-001, |
---|
| 2988 | # -5.31666667e-001, -5.98333333e-001, -5.31666667e-001, -5.98333333e-001, |
---|
| 2989 | # -5.31666667e-001, -5.98333333e-001, -5.31666667e-001, -5.98333333e-001, |
---|
| 2990 | # -4.98333333e-001, -4.81666667e-001, -4.98333333e-001, -4.81666667e-001, |
---|
| 2991 | # -4.98333333e-001, -4.81666667e-001, -4.98333333e-001, -4.81666667e-001, |
---|
| 2992 | # -4.98333333e-001, -4.81666667e-001, -4.98333333e-001, -4.81666667e-001, |
---|
| 2993 | # -5.48333333e-001, -5.31666667e-001, -5.48333333e-001, -5.31666667e-001, |
---|
| 2994 | # -5.48333333e-001, -5.31666667e-001, -5.48333333e-001, -5.31666667e-001, |
---|
| 2995 | # -5.48333333e-001, -5.31666667e-001, -5.48333333e-001, -5.31666667e-001]) |
---|
| 2996 | |
---|
| 2997 | os.remove(domain.filename + '.sww') |
---|
| 2998 | |
---|
| 2999 | def test_spatio_temporal_boundary_1(self): |
---|
| 3000 | """Test that boundary values can be read from file and interpolated |
---|
| 3001 | in both time and space. |
---|
| 3002 | |
---|
| 3003 | Verify that the same steady state solution is arrived at and that |
---|
| 3004 | time interpolation works. |
---|
| 3005 | |
---|
| 3006 | The full solution history is not exactly the same as |
---|
| 3007 | file boundary must read and interpolate from *smoothed* version |
---|
| 3008 | as stored in sww. |
---|
| 3009 | """ |
---|
| 3010 | import time |
---|
| 3011 | |
---|
| 3012 | #Create sww file of simple propagation from left to right |
---|
| 3013 | #through rectangular domain |
---|
| 3014 | |
---|
| 3015 | from mesh_factory import rectangular |
---|
| 3016 | |
---|
| 3017 | #Create basic mesh |
---|
| 3018 | points, vertices, boundary = rectangular(3, 3) |
---|
| 3019 | |
---|
| 3020 | #Create shallow water domain |
---|
| 3021 | domain1 = Domain(points, vertices, boundary) |
---|
| 3022 | |
---|
| 3023 | domain1.reduction = mean |
---|
| 3024 | domain1.smooth = False #Exact result |
---|
| 3025 | |
---|
| 3026 | domain1.default_order = 2 |
---|
| 3027 | domain1.store = True |
---|
| 3028 | domain1.set_datadir('.') |
---|
| 3029 | domain1.set_name('spatio_temporal_boundary_source' + str(time.time())) |
---|
| 3030 | |
---|
| 3031 | #FIXME: This is extremely important! |
---|
| 3032 | #How can we test if they weren't stored? |
---|
| 3033 | domain1.quantities_to_be_stored = ['stage', 'xmomentum', 'ymomentum'] |
---|
| 3034 | |
---|
| 3035 | |
---|
| 3036 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 3037 | domain1.set_quantity('elevation', 0) |
---|
| 3038 | domain1.set_quantity('friction', 0) |
---|
| 3039 | |
---|
| 3040 | # Boundary conditions |
---|
| 3041 | Br = Reflective_boundary(domain1) |
---|
| 3042 | Bd = Dirichlet_boundary([0.3,0,0]) |
---|
| 3043 | domain1.set_boundary({'left': Bd, 'top': Bd, 'right': Br, 'bottom': Br}) |
---|
| 3044 | #Initial condition |
---|
| 3045 | domain1.set_quantity('stage', 0) |
---|
| 3046 | domain1.check_integrity() |
---|
| 3047 | |
---|
| 3048 | finaltime = 5 |
---|
| 3049 | #Evolution (full domain - large steps) |
---|
| 3050 | for t in domain1.evolve(yieldstep = 0.671, finaltime = finaltime): |
---|
| 3051 | pass |
---|
| 3052 | #domain1.write_time() |
---|
| 3053 | |
---|
| 3054 | cv1 = domain1.quantities['stage'].centroid_values |
---|
| 3055 | |
---|
| 3056 | |
---|
[2709] | 3057 | #Create a triangle shaped domain (reusing coordinates from domain 1), |
---|
[2526] | 3058 | #formed from the lower and right hand boundaries and |
---|
| 3059 | #the sw-ne diagonal |
---|
| 3060 | #from domain 1. Call it domain2 |
---|
| 3061 | |
---|
| 3062 | points = [ [0,0], [1.0/3,0], [1.0/3,1.0/3], |
---|
| 3063 | [2.0/3,0], [2.0/3,1.0/3], [2.0/3,2.0/3], |
---|
| 3064 | [1,0], [1,1.0/3], [1,2.0/3], [1,1]] |
---|
| 3065 | |
---|
| 3066 | vertices = [ [1,2,0], [3,4,1], [2,1,4], [4,5,2], |
---|
| 3067 | [6,7,3], [4,3,7], [7,8,4], [5,4,8], [8,9,5]] |
---|
| 3068 | |
---|
| 3069 | boundary = { (0,1):'bottom', (1,1):'bottom', (4,1): 'bottom', |
---|
| 3070 | (4,2):'right', (6,2):'right', (8,2):'right', |
---|
| 3071 | (0,0):'diagonal', (3,0):'diagonal', (8,0):'diagonal'} |
---|
| 3072 | |
---|
| 3073 | domain2 = Domain(points, vertices, boundary) |
---|
| 3074 | |
---|
| 3075 | domain2.reduction = domain1.reduction |
---|
| 3076 | domain2.smooth = False |
---|
| 3077 | domain2.default_order = 2 |
---|
| 3078 | |
---|
| 3079 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 3080 | domain2.set_quantity('elevation', 0) |
---|
| 3081 | domain2.set_quantity('friction', 0) |
---|
| 3082 | domain2.set_quantity('stage', 0) |
---|
| 3083 | |
---|
| 3084 | # Boundary conditions |
---|
| 3085 | Br = Reflective_boundary(domain2) |
---|
| 3086 | Bf = Spatio_temporal_boundary(domain1.filename + '.' + domain1.format, |
---|
| 3087 | domain2) |
---|
| 3088 | domain2.set_boundary({'right':Br, 'bottom':Br, 'diagonal':Bf}) |
---|
| 3089 | domain2.check_integrity() |
---|
| 3090 | |
---|
| 3091 | |
---|
| 3092 | |
---|
| 3093 | #Evolution (small steps) |
---|
| 3094 | for t in domain2.evolve(yieldstep = 0.0711, finaltime = finaltime): |
---|
| 3095 | pass |
---|
| 3096 | |
---|
| 3097 | |
---|
| 3098 | #Use output from domain1 as spatio-temporal boundary for domain2 |
---|
| 3099 | #and verify that results at right hand side are close. |
---|
| 3100 | |
---|
| 3101 | cv2 = domain2.quantities['stage'].centroid_values |
---|
| 3102 | |
---|
| 3103 | #print take(cv1, (12,14,16)) #Right |
---|
| 3104 | #print take(cv2, (4,6,8)) |
---|
| 3105 | #print take(cv1, (0,6,12)) #Bottom |
---|
| 3106 | #print take(cv2, (0,1,4)) |
---|
| 3107 | #print take(cv1, (0,8,16)) #Diag |
---|
| 3108 | #print take(cv2, (0,3,8)) |
---|
| 3109 | |
---|
| 3110 | assert allclose( take(cv1, (0,8,16)), take(cv2, (0,3,8))) #Diag |
---|
| 3111 | assert allclose( take(cv1, (0,6,12)), take(cv2, (0,1,4))) #Bottom |
---|
| 3112 | assert allclose( take(cv1, (12,14,16)), take(cv2, (4,6,8))) #RHS |
---|
| 3113 | |
---|
| 3114 | #Cleanup |
---|
| 3115 | os.remove(domain1.filename + '.' + domain1.format) |
---|
| 3116 | os.remove(domain2.filename + '.' + domain2.format) |
---|
| 3117 | |
---|
| 3118 | |
---|
| 3119 | |
---|
| 3120 | def test_spatio_temporal_boundary_2(self): |
---|
| 3121 | """Test that boundary values can be read from file and interpolated |
---|
| 3122 | in both time and space. |
---|
| 3123 | This is a more basic test, verifying that boundary object |
---|
| 3124 | produces the expected results |
---|
| 3125 | |
---|
| 3126 | |
---|
| 3127 | """ |
---|
| 3128 | import time |
---|
| 3129 | |
---|
| 3130 | #Create sww file of simple propagation from left to right |
---|
| 3131 | #through rectangular domain |
---|
| 3132 | |
---|
| 3133 | from mesh_factory import rectangular |
---|
| 3134 | |
---|
| 3135 | #Create basic mesh |
---|
| 3136 | points, vertices, boundary = rectangular(3, 3) |
---|
| 3137 | |
---|
| 3138 | #Create shallow water domain |
---|
| 3139 | domain1 = Domain(points, vertices, boundary) |
---|
| 3140 | |
---|
| 3141 | domain1.reduction = mean |
---|
| 3142 | domain1.smooth = True #To mimic MOST output |
---|
| 3143 | |
---|
| 3144 | domain1.default_order = 2 |
---|
| 3145 | domain1.store = True |
---|
| 3146 | domain1.set_datadir('.') |
---|
| 3147 | domain1.set_name('spatio_temporal_boundary_source' + str(time.time())) |
---|
| 3148 | |
---|
| 3149 | #FIXME: This is extremely important! |
---|
| 3150 | #How can we test if they weren't stored? |
---|
| 3151 | domain1.quantities_to_be_stored = ['stage', 'xmomentum', 'ymomentum'] |
---|
| 3152 | |
---|
| 3153 | |
---|
| 3154 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 3155 | domain1.set_quantity('elevation', 0) |
---|
| 3156 | domain1.set_quantity('friction', 0) |
---|
| 3157 | |
---|
| 3158 | # Boundary conditions |
---|
| 3159 | Br = Reflective_boundary(domain1) |
---|
| 3160 | Bd = Dirichlet_boundary([0.3,0,0]) |
---|
| 3161 | domain1.set_boundary({'left': Bd, 'top': Bd, 'right': Br, 'bottom': Br}) |
---|
| 3162 | #Initial condition |
---|
| 3163 | domain1.set_quantity('stage', 0) |
---|
| 3164 | domain1.check_integrity() |
---|
| 3165 | |
---|
| 3166 | finaltime = 5 |
---|
| 3167 | #Evolution (full domain - large steps) |
---|
| 3168 | for t in domain1.evolve(yieldstep = 1, finaltime = finaltime): |
---|
| 3169 | pass |
---|
| 3170 | #domain1.write_time() |
---|
| 3171 | |
---|
| 3172 | |
---|
| 3173 | #Create an triangle shaped domain (coinciding with some |
---|
| 3174 | #coordinates from domain 1), |
---|
| 3175 | #formed from the lower and right hand boundaries and |
---|
| 3176 | #the sw-ne diagonal |
---|
| 3177 | #from domain 1. Call it domain2 |
---|
| 3178 | |
---|
| 3179 | points = [ [0,0], [1.0/3,0], [1.0/3,1.0/3], |
---|
| 3180 | [2.0/3,0], [2.0/3,1.0/3], [2.0/3,2.0/3], |
---|
| 3181 | [1,0], [1,1.0/3], [1,2.0/3], [1,1]] |
---|
| 3182 | |
---|
| 3183 | vertices = [ [1,2,0], |
---|
| 3184 | [3,4,1], [2,1,4], [4,5,2], |
---|
| 3185 | [6,7,3], [4,3,7], [7,8,4], [5,4,8], [8,9,5]] |
---|
| 3186 | |
---|
| 3187 | boundary = { (0,1):'bottom', (1,1):'bottom', (4,1): 'bottom', |
---|
| 3188 | (4,2):'right', (6,2):'right', (8,2):'right', |
---|
| 3189 | (0,0):'diagonal', (3,0):'diagonal', (8,0):'diagonal'} |
---|
| 3190 | |
---|
| 3191 | domain2 = Domain(points, vertices, boundary) |
---|
| 3192 | |
---|
| 3193 | domain2.reduction = domain1.reduction |
---|
| 3194 | domain2.smooth = False |
---|
| 3195 | domain2.default_order = 2 |
---|
| 3196 | |
---|
| 3197 | #Bed-slope and friction at vertices (and interpolated elsewhere) |
---|
| 3198 | domain2.set_quantity('elevation', 0) |
---|
| 3199 | domain2.set_quantity('friction', 0) |
---|
| 3200 | domain2.set_quantity('stage', 0) |
---|
| 3201 | |
---|
| 3202 | |
---|
| 3203 | #Read results for specific timesteps t=1 and t=2 |
---|
| 3204 | from Scientific.IO.NetCDF import NetCDFFile |
---|
| 3205 | fid = NetCDFFile(domain1.filename + '.' + domain1.format) |
---|
| 3206 | |
---|
| 3207 | x = fid.variables['x'][:] |
---|
| 3208 | y = fid.variables['y'][:] |
---|
| 3209 | s1 = fid.variables['stage'][1,:] |
---|
| 3210 | s2 = fid.variables['stage'][2,:] |
---|
| 3211 | fid.close() |
---|
| 3212 | |
---|
| 3213 | from Numeric import take, reshape, concatenate |
---|
| 3214 | shp = (len(x), 1) |
---|
| 3215 | points = concatenate( (reshape(x, shp), reshape(y, shp)), axis=1) |
---|
| 3216 | #The diagonal points of domain 1 are 0, 5, 10, 15 |
---|
| 3217 | |
---|
| 3218 | #print points[0], points[5], points[10], points[15] |
---|
| 3219 | assert allclose( take(points, [0,5,10,15]), |
---|
| 3220 | [[0,0], [1.0/3, 1.0/3], [2.0/3, 2.0/3], [1,1]]) |
---|
| 3221 | |
---|
| 3222 | |
---|
| 3223 | # Boundary conditions |
---|
| 3224 | Br = Reflective_boundary(domain2) |
---|
| 3225 | Bf = Spatio_temporal_boundary(domain1.filename + '.' + domain1.format, |
---|
| 3226 | domain2) |
---|
| 3227 | domain2.set_boundary({'right':Br, 'bottom':Br, 'diagonal':Bf}) |
---|
| 3228 | domain2.check_integrity() |
---|
| 3229 | |
---|
| 3230 | #Test that interpolation points are the mid points of the all boundary |
---|
| 3231 | #segments |
---|
| 3232 | |
---|
| 3233 | boundary_midpoints = [[1.0/6, 0], [1.0/2, 0], [5.0/6,0], |
---|
| 3234 | [1.0, 1.0/6], [1.0, 1.0/2], [1.0, 5.0/6], |
---|
| 3235 | [1.0/6, 1.0/6], [0.5, 0.5], [5.0/6, 5.0/6]] |
---|
| 3236 | |
---|
| 3237 | boundary_midpoints.sort() |
---|
| 3238 | R = Bf.F.interpolation_points.tolist() |
---|
| 3239 | R.sort() |
---|
| 3240 | assert allclose(boundary_midpoints, R) |
---|
| 3241 | |
---|
| 3242 | #Check spatially interpolated output at time == 1 |
---|
| 3243 | domain2.time = 1 |
---|
| 3244 | |
---|
| 3245 | #First diagonal midpoint |
---|
| 3246 | R0 = Bf.evaluate(0,0) |
---|
| 3247 | assert allclose(R0[0], (s1[0] + s1[5])/2) |
---|
| 3248 | |
---|
| 3249 | #Second diagonal midpoint |
---|
| 3250 | R0 = Bf.evaluate(3,0) |
---|
| 3251 | assert allclose(R0[0], (s1[5] + s1[10])/2) |
---|
| 3252 | |
---|
| 3253 | #First diagonal midpoint |
---|
| 3254 | R0 = Bf.evaluate(8,0) |
---|
| 3255 | assert allclose(R0[0], (s1[10] + s1[15])/2) |
---|
| 3256 | |
---|
| 3257 | #Check spatially interpolated output at time == 2 |
---|
| 3258 | domain2.time = 2 |
---|
| 3259 | |
---|
| 3260 | #First diagonal midpoint |
---|
| 3261 | R0 = Bf.evaluate(0,0) |
---|
| 3262 | assert allclose(R0[0], (s2[0] + s2[5])/2) |
---|
| 3263 | |
---|
| 3264 | #Second diagonal midpoint |
---|
| 3265 | R0 = Bf.evaluate(3,0) |
---|
| 3266 | assert allclose(R0[0], (s2[5] + s2[10])/2) |
---|
| 3267 | |
---|
| 3268 | #First diagonal midpoint |
---|
| 3269 | R0 = Bf.evaluate(8,0) |
---|
| 3270 | assert allclose(R0[0], (s2[10] + s2[15])/2) |
---|
| 3271 | |
---|
| 3272 | |
---|
| 3273 | #Now check temporal interpolation |
---|
| 3274 | |
---|
| 3275 | domain2.time = 1 + 2.0/3 |
---|
| 3276 | |
---|
| 3277 | #First diagonal midpoint |
---|
| 3278 | R0 = Bf.evaluate(0,0) |
---|
| 3279 | assert allclose(R0[0], ((s1[0] + s1[5])/2 + 2.0*(s2[0] + s2[5])/2)/3) |
---|
| 3280 | |
---|
| 3281 | #Second diagonal midpoint |
---|
| 3282 | R0 = Bf.evaluate(3,0) |
---|
| 3283 | assert allclose(R0[0], ((s1[5] + s1[10])/2 + 2.0*(s2[5] + s2[10])/2)/3) |
---|
| 3284 | |
---|
| 3285 | #First diagonal midpoint |
---|
| 3286 | R0 = Bf.evaluate(8,0) |
---|
| 3287 | assert allclose(R0[0], ((s1[10] + s1[15])/2 + 2.0*(s2[10] + s2[15])/2)/3) |
---|
| 3288 | |
---|
| 3289 | |
---|
| 3290 | |
---|
| 3291 | #Cleanup |
---|
| 3292 | os.remove(domain1.filename + '.' + domain1.format) |
---|
| 3293 | |
---|
| 3294 | |
---|
[2601] | 3295 | def test_pmesh2Domain(self): |
---|
| 3296 | import os |
---|
| 3297 | import tempfile |
---|
| 3298 | |
---|
| 3299 | fileName = tempfile.mktemp(".tsh") |
---|
| 3300 | file = open(fileName,"w") |
---|
| 3301 | file.write("4 3 # <vertex #> <x> <y> [attributes]\n \ |
---|
| 3302 | 0 0.0 0.0 0.0 0.0 0.01 \n \ |
---|
| 3303 | 1 1.0 0.0 10.0 10.0 0.02 \n \ |
---|
| 3304 | 2 0.0 1.0 0.0 10.0 0.03 \n \ |
---|
| 3305 | 3 0.5 0.25 8.0 12.0 0.04 \n \ |
---|
| 3306 | # Vert att title \n \ |
---|
| 3307 | elevation \n \ |
---|
| 3308 | stage \n \ |
---|
| 3309 | friction \n \ |
---|
| 3310 | 2 # <triangle #> [<vertex #>] [<neigbouring triangle #>] \n\ |
---|
| 3311 | 0 0 3 2 -1 -1 1 dsg\n\ |
---|
| 3312 | 1 0 1 3 -1 0 -1 ole nielsen\n\ |
---|
| 3313 | 4 # <segment #> <vertex #> <vertex #> [boundary tag] \n\ |
---|
| 3314 | 0 1 0 2 \n\ |
---|
| 3315 | 1 0 2 3 \n\ |
---|
| 3316 | 2 2 3 \n\ |
---|
| 3317 | 3 3 1 1 \n\ |
---|
| 3318 | 3 0 # <x> <y> [attributes] ...Mesh Vertices... \n \ |
---|
| 3319 | 0 216.0 -86.0 \n \ |
---|
| 3320 | 1 160.0 -167.0 \n \ |
---|
| 3321 | 2 114.0 -91.0 \n \ |
---|
| 3322 | 3 # <vertex #> <vertex #> [boundary tag] ...Mesh Segments... \n \ |
---|
| 3323 | 0 0 1 0 \n \ |
---|
| 3324 | 1 1 2 0 \n \ |
---|
| 3325 | 2 2 0 0 \n \ |
---|
| 3326 | 0 # <x> <y> ...Mesh Holes... \n \ |
---|
| 3327 | 0 # <x> <y> <attribute>...Mesh Regions... \n \ |
---|
| 3328 | 0 # <x> <y> <attribute>...Mesh Regions, area... \n\ |
---|
| 3329 | #Geo reference \n \ |
---|
| 3330 | 56 \n \ |
---|
| 3331 | 140 \n \ |
---|
| 3332 | 120 \n") |
---|
| 3333 | file.close() |
---|
| 3334 | |
---|
| 3335 | tags = {} |
---|
| 3336 | b1 = Dirichlet_boundary(conserved_quantities = array([0.0])) |
---|
| 3337 | b2 = Dirichlet_boundary(conserved_quantities = array([1.0])) |
---|
| 3338 | b3 = Dirichlet_boundary(conserved_quantities = array([2.0])) |
---|
| 3339 | tags["1"] = b1 |
---|
| 3340 | tags["2"] = b2 |
---|
| 3341 | tags["3"] = b3 |
---|
| 3342 | |
---|
| 3343 | #from pmesh2domain import pmesh_to_domain_instance |
---|
| 3344 | #domain = pmesh_to_domain_instance(fileName, Domain) |
---|
[2812] | 3345 | |
---|
| 3346 | domain = Domain(mesh_filename=fileName) |
---|
| 3347 | #verbose=True, use_cache=True) |
---|
[2601] | 3348 | |
---|
| 3349 | #print "domain.tagged_elements", domain.tagged_elements |
---|
| 3350 | ## check the quantities |
---|
| 3351 | #print domain.quantities['elevation'].vertex_values |
---|
| 3352 | answer = [[0., 8., 0.], |
---|
| 3353 | [0., 10., 8.]] |
---|
| 3354 | assert allclose(domain.quantities['elevation'].vertex_values, |
---|
| 3355 | answer) |
---|
| 3356 | |
---|
| 3357 | #print domain.quantities['stage'].vertex_values |
---|
| 3358 | answer = [[0., 12., 10.], |
---|
| 3359 | [0., 10., 12.]] |
---|
| 3360 | assert allclose(domain.quantities['stage'].vertex_values, |
---|
| 3361 | answer) |
---|
| 3362 | |
---|
| 3363 | #print domain.quantities['friction'].vertex_values |
---|
| 3364 | answer = [[0.01, 0.04, 0.03], |
---|
| 3365 | [0.01, 0.02, 0.04]] |
---|
| 3366 | assert allclose(domain.quantities['friction'].vertex_values, |
---|
| 3367 | answer) |
---|
| 3368 | |
---|
| 3369 | #print domain.quantities['friction'].vertex_values |
---|
| 3370 | assert allclose(domain.tagged_elements['dsg'][0],0) |
---|
| 3371 | assert allclose(domain.tagged_elements['ole nielsen'][0],1) |
---|
| 3372 | |
---|
| 3373 | self.failUnless( domain.boundary[(1, 0)] == '1', |
---|
| 3374 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3375 | self.failUnless( domain.boundary[(1, 2)] == '2', |
---|
| 3376 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3377 | self.failUnless( domain.boundary[(0, 1)] == '3', |
---|
| 3378 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3379 | self.failUnless( domain.boundary[(0, 0)] == 'exterior', |
---|
| 3380 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3381 | #print "domain.boundary",domain.boundary |
---|
| 3382 | self.failUnless( len(domain.boundary) == 4, |
---|
| 3383 | "test_pmesh2Domain Too many boundaries") |
---|
| 3384 | #FIXME change to use get_xllcorner |
---|
| 3385 | #print "d.geo_reference.xllcorner",domain.geo_reference.xllcorner |
---|
| 3386 | self.failUnless(domain.geo_reference.xllcorner == 140.0, |
---|
| 3387 | "bad geo_referece") |
---|
| 3388 | #************ |
---|
| 3389 | |
---|
[2765] | 3390 | |
---|
| 3391 | domain = Domain(fileName) |
---|
| 3392 | |
---|
| 3393 | #print "domain.tagged_elements", domain.tagged_elements |
---|
| 3394 | ## check the quantities |
---|
| 3395 | #print domain.quantities['elevation'].vertex_values |
---|
| 3396 | answer = [[0., 8., 0.], |
---|
| 3397 | [0., 10., 8.]] |
---|
| 3398 | assert allclose(domain.quantities['elevation'].vertex_values, |
---|
| 3399 | answer) |
---|
| 3400 | |
---|
| 3401 | #print domain.quantities['stage'].vertex_values |
---|
| 3402 | answer = [[0., 12., 10.], |
---|
| 3403 | [0., 10., 12.]] |
---|
| 3404 | assert allclose(domain.quantities['stage'].vertex_values, |
---|
| 3405 | answer) |
---|
| 3406 | |
---|
| 3407 | #print domain.quantities['friction'].vertex_values |
---|
| 3408 | answer = [[0.01, 0.04, 0.03], |
---|
| 3409 | [0.01, 0.02, 0.04]] |
---|
| 3410 | assert allclose(domain.quantities['friction'].vertex_values, |
---|
| 3411 | answer) |
---|
| 3412 | |
---|
| 3413 | #print domain.quantities['friction'].vertex_values |
---|
| 3414 | assert allclose(domain.tagged_elements['dsg'][0],0) |
---|
| 3415 | assert allclose(domain.tagged_elements['ole nielsen'][0],1) |
---|
| 3416 | |
---|
| 3417 | self.failUnless( domain.boundary[(1, 0)] == '1', |
---|
| 3418 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3419 | self.failUnless( domain.boundary[(1, 2)] == '2', |
---|
| 3420 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3421 | self.failUnless( domain.boundary[(0, 1)] == '3', |
---|
| 3422 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3423 | self.failUnless( domain.boundary[(0, 0)] == 'exterior', |
---|
| 3424 | "test_tags_to_boundaries failed. Single boundary wasn't added.") |
---|
| 3425 | #print "domain.boundary",domain.boundary |
---|
| 3426 | self.failUnless( len(domain.boundary) == 4, |
---|
| 3427 | "test_pmesh2Domain Too many boundaries") |
---|
| 3428 | #FIXME change to use get_xllcorner |
---|
| 3429 | #print "d.geo_reference.xllcorner",domain.geo_reference.xllcorner |
---|
| 3430 | self.failUnless(domain.geo_reference.xllcorner == 140.0, |
---|
| 3431 | "bad geo_referece") |
---|
| 3432 | #************ |
---|
| 3433 | os.remove(fileName) |
---|
| 3434 | |
---|
[2526] | 3435 | #------------------------------------------------------------- |
---|
| 3436 | if __name__ == "__main__": |
---|
| 3437 | suite = unittest.makeSuite(Test_Shallow_Water,'test') |
---|
[2709] | 3438 | runner = unittest.TextTestRunner(verbosity=1) |
---|
[2526] | 3439 | runner.run(suite) |
---|