| 1 | from math import sqrt, pi |
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| 2 | from shallow_water_1d import * |
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| 3 | from Numeric import allclose, array, zeros, ones, Float, take |
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| 4 | from config import g, epsilon |
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| 5 | |
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| 6 | def test_sqrt(): |
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| 7 | for i in range (80000): |
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| 8 | a = sqrt(4356) |
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| 9 | b = sqrt(2031) |
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| 10 | |
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| 11 | def test_flux1(): |
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| 12 | #Use data from previous version of pyvolution |
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| 13 | #normal = array([1.,0]) |
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| 14 | #ql = array([-0.2, 2, 3]) |
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| 15 | #qr = array([-0.2, 2, 3]) |
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| 16 | ql = array([-0.2, 2]) |
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| 17 | qr = array([-0.2, 2]) |
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| 18 | zl = zr = -0.5 |
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| 19 | #flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 20 | flux, max_speed = flux_function(1.0, ql, qr, zl, zr) |
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| 21 | print 'flux', flux |
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| 22 | |
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| 23 | def test_compute_fluxes0(): |
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| 24 | #Do a full triangle and check that fluxes cancel out for |
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| 25 | #the constant stage case |
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| 26 | |
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| 27 | print 'check min time step in compute fluxes is ok, John' |
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| 28 | |
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| 29 | #a = [0.0, 0.0] |
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| 30 | #b = [0.0, 2.0] |
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| 31 | #c = [2.0,0.0] |
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| 32 | #d = [0.0, 4.0] |
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| 33 | #e = [2.0, 2.0] |
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| 34 | #f = [4.0,0.0] |
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| 35 | a=0.0 |
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| 36 | b=2.0 |
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| 37 | c=4.0 |
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| 38 | d=6.0 |
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| 39 | e=8.0 |
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| 40 | f=10.0 |
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| 41 | |
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| 42 | points = [a, b, c, d, e, f] |
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| 43 | #bac, bce, ecf, dbe |
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| 44 | #vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 45 | |
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| 46 | domain = Domain(points) |
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| 47 | #domain.set_quantity('stage', [[2,2,2], [2,2,2], |
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| 48 | # [2,2,2], [2,2,2]]) |
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| 49 | domain.set_quantity('stage', [[2,2], [2,2], [2,2], [2,2], [2,2]]) |
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| 50 | domain.check_integrity() |
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| 51 | |
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| 52 | #assert allclose(domain.neighbours, [[-1,1,-1], [2,3,0], [-1,-1,1],[1,-1,-1]]) |
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| 53 | assert allclose(domain.neighbours, [[-1,1], [0,2], [1,3],[2,4], [3,-1]]) |
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| 54 | #assert allclose(domain.neighbour_edges, [[-1,2,-1], [2,0,1], [-1,-1,0],[1,-1,-1]]) |
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| 55 | #assert allclose(domain.neighbour_edges, [[-1,0], [1,0], [1,0], [1,0], [1,-1]]) |
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| 56 | assert allclose(domain.neighbour_vertices, [[-1,0], [1,0], [1,0], [1,0], [1,-1]]) |
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| 57 | |
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| 58 | zl=zr=0. #Assume flat bed |
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| 59 | |
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| 60 | #Flux across right edge of volume 1 |
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| 61 | #normal = domain.get_normal(1,0) |
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| 62 | #ql = domain.get_conserved_quantities(vol_id=1, edge=0) |
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| 63 | #qr = domain.get_conserved_quantities(vol_id=2, edge=2) |
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| 64 | #flux0, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 65 | |
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| 66 | #Flux across right edge of element 1 |
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| 67 | ql = domain.get_conserved_quantities(vol_id=1, vertex=1) |
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| 68 | qr = domain.get_conserved_quantities(vol_id=2, vertex=0) |
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| 69 | #print 'qr and ql 1' |
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| 70 | #print qr |
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| 71 | #print ql |
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| 72 | flux0, max_speed = flux_function(1.0, ql, qr, zl, zr) |
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| 73 | |
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| 74 | #Check that flux seen from other triangles is inverse |
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| 75 | tmp = qr; qr=ql; ql=tmp |
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| 76 | #print 'qr and ql 2' |
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| 77 | #print qr |
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| 78 | #print ql |
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| 79 | #normal = domain.get_normal(2,2) |
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| 80 | #flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 81 | flux, max_speed = flux_function(-1.0, ql, qr, zl, zr) |
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| 82 | #print 'fluxes' |
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| 83 | #print flux0 |
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| 84 | #print flux |
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| 85 | assert allclose(flux + flux0, 0.) |
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| 86 | |
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| 87 | #Flux across upper edge of volume 1 |
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| 88 | #normal = domain.get_normal(1,1) |
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| 89 | #ql = domain.get_conserved_quantities(vol_id=1, edge=1) |
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| 90 | #qr = domain.get_conserved_quantities(vol_id=3, edge=0) |
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| 91 | #flux1, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 92 | |
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| 93 | #Flux across left edge of element 1 |
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| 94 | #ql = domain.get_conserved_quantities(vol_id=1, edge=0) |
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| 95 | #qr = domain.get_conserved_quantities(vol_id=0, edge=1) |
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| 96 | ql = domain.get_conserved_quantities(vol_id=1, vertex=0) |
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| 97 | qr = domain.get_conserved_quantities(vol_id=0, vertex=1) |
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| 98 | flux1, max_speed = flux_function(-1.0, ql, qr, zl, zr) |
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| 99 | |
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| 100 | #Check that flux seen from other triangles is inverse |
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| 101 | tmp = qr; qr=ql; ql=tmp |
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| 102 | #normal = domain.get_normal(3,0) |
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| 103 | #flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 104 | flux, max_speed = flux_function(1.0, ql, qr, zl, zr) |
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| 105 | assert allclose(flux + flux1, 0.) |
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| 106 | |
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| 107 | #Flux across lower left hypotenuse of volume 1 |
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| 108 | #normal = domain.get_normal(1,2) |
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| 109 | #ql = domain.get_conserved_quantities(vol_id=1, edge=2) |
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| 110 | #qr = domain.get_conserved_quantities(vol_id=0, edge=1) |
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| 111 | #flux2, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 112 | |
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| 113 | #Check that flux seen from other triangles is inverse |
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| 114 | #tmp = qr; qr=ql; ql=tmp |
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| 115 | #normal = domain.get_normal(0,1) |
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| 116 | #flux, max_speed = flux_function(normal, ql, qr, zl, zr) |
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| 117 | #assert allclose(flux + flux2, 0.) |
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| 118 | |
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| 119 | |
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| 120 | #Scale by edgelengths, add up anc check that total flux is zero |
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| 121 | #e0 = domain.edgelengths[1, 0] |
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| 122 | #e1 = domain.edgelengths[1, 1] |
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| 123 | #e2 = domain.edgelengths[1, 2] |
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| 124 | |
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| 125 | #assert allclose(e0*flux0+e1*flux1+e2*flux2, 0.) |
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| 126 | print 'flux0',flux0 |
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| 127 | print 'flux1',flux1 |
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| 128 | assert allclose(flux0+flux1, 0.) |
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| 129 | |
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| 130 | #Now check that compute_flux yields zeros as well |
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| 131 | domain.compute_fluxes() |
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| 132 | |
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| 133 | #for name in ['stage', 'xmomentum', 'ymomentum']: |
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| 134 | for name in ['stage', 'xmomentum']: |
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| 135 | #print name, domain.quantities[name].explicit_update |
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| 136 | assert allclose(domain.quantities[name].explicit_update[1], 0) |
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| 137 | |
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| 138 | def test_1d_solution_I(): |
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| 139 | print "TEST 1D-SOLUTION I" |
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| 140 | |
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| 141 | L = 2000.0 # Length of channel (m) |
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| 142 | N = 100 # Number of compuational cells |
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| 143 | cell_len = L/N # Origin = 0.0 |
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| 144 | |
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| 145 | points = zeros(N+1,Float) |
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| 146 | for i in range(N+1): |
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| 147 | points[i] = i*cell_len |
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| 148 | |
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| 149 | domain = Domain(points) |
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| 150 | domain.order = 2 |
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| 151 | def stage(x): |
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| 152 | for i in range(len(x)): |
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| 153 | if x[i]<=1000.0: |
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| 154 | x[i] = 10.0 |
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| 155 | else: |
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| 156 | x[i] = 5.0 |
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| 157 | return x |
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| 158 | |
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| 159 | domain.set_quantity('stage', stage) |
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| 160 | #L = domain.quantities['stage'].vertex_values |
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| 161 | #print "Initial Stage" |
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| 162 | #print L |
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| 163 | |
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| 164 | domain.set_boundary({'exterior': Reflective_boundary(domain)}) |
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| 165 | |
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| 166 | import time |
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| 167 | t0 = time.time() |
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| 168 | yieldstep = 1.0 |
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| 169 | finaltime = 50.0 |
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| 170 | for t in domain.evolve(yieldstep = yieldstep, finaltime = finaltime): |
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| 171 | #xmom = domain.quantities['xmomentum'] |
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| 172 | #xmom = xmom.centroid_values |
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| 173 | #stage = domain.quantities['stage'] |
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| 174 | #stage = stage.centroid_values |
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| 175 | #print 'stage', stage |
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| 176 | #print 'xmom', xmom |
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| 177 | #for i in range N |
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| 178 | #u = xmom/stage |
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| 179 | pass |
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| 180 | |
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| 181 | print 'That took %.2f seconds' %(time.time()-t0) |
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| 182 | |
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| 183 | #L = domain.quantities['stage'].vertex_values |
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| 184 | #print "Final Stage" |
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| 185 | #print L |
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| 186 | |
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| 187 | C = domain.quantities['stage'].vertex_values |
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| 188 | #print C |
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| 189 | |
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| 190 | f = file('test_solution_Ix.out', 'w') |
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| 191 | for i in range(N): |
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| 192 | f.write(str(C[i,1])) |
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| 193 | f.write("\n") |
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| 194 | f.close |
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