[1018] | 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | import unittest |
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| 4 | from math import sqrt, pi |
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| 5 | |
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| 6 | |
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| 7 | from quantity import * |
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| 8 | from config import epsilon |
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| 9 | from Numeric import allclose, array, ones, Float |
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| 10 | |
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| 11 | |
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| 12 | class Test_Quantity(unittest.TestCase): |
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| 13 | def setUp(self): |
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| 14 | from domain import Domain |
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| 15 | |
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| 16 | a = [0.0, 0.0] |
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| 17 | b = [0.0, 2.0] |
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| 18 | c = [2.0, 0.0] |
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| 19 | d = [0.0, 4.0] |
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| 20 | e = [2.0, 2.0] |
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| 21 | f = [4.0, 0.0] |
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| 22 | |
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| 23 | points = [a, b, c, d, e, f] |
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| 24 | |
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| 25 | #bac, bce, ecf, dbe |
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| 26 | elements = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 27 | |
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| 28 | self.mesh1 = Domain(points[:3], [elements[0]]) |
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| 29 | self.mesh1.check_integrity() |
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| 30 | |
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| 31 | self.mesh4 = Domain(points, elements) |
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| 32 | self.mesh4.check_integrity() |
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| 33 | |
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| 34 | def tearDown(self): |
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| 35 | pass |
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| 36 | #print " Tearing down" |
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| 37 | |
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| 38 | |
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| 39 | def test_creation(self): |
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| 40 | |
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| 41 | quantity = Quantity(self.mesh1, [[1,2,3]]) |
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| 42 | assert allclose(quantity.vertex_values, [[1.,2.,3.]]) |
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| 43 | |
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| 44 | try: |
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| 45 | quantity = Quantity() |
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| 46 | except: |
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| 47 | pass |
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| 48 | else: |
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| 49 | raise 'Should have raised empty quantity exception' |
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| 50 | |
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| 51 | |
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| 52 | try: |
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| 53 | quantity = Quantity([1,2,3]) |
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| 54 | except AssertionError: |
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| 55 | pass |
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| 56 | except: |
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| 57 | raise 'Should have raised "mising mesh object" error' |
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| 58 | |
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| 59 | |
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| 60 | def test_creation_zeros(self): |
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| 61 | |
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| 62 | quantity = Quantity(self.mesh1) |
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| 63 | assert allclose(quantity.vertex_values, [[0.,0.,0.]]) |
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| 64 | |
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| 65 | |
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| 66 | quantity = Quantity(self.mesh4) |
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| 67 | assert allclose(quantity.vertex_values, [[0.,0.,0.], [0.,0.,0.], |
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| 68 | [0.,0.,0.], [0.,0.,0.]]) |
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| 69 | |
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| 70 | |
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| 71 | def test_interpolation(self): |
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| 72 | quantity = Quantity(self.mesh1, [[1,2,3]]) |
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| 73 | assert allclose(quantity.centroid_values, [2.0]) #Centroid |
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| 74 | |
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| 75 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5]]) |
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| 76 | |
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| 77 | |
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| 78 | def test_interpolation2(self): |
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| 79 | quantity = Conserved_quantity(self.mesh4, |
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| 80 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 81 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 82 | |
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| 83 | |
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| 84 | quantity.extrapolate_second_order() |
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| 85 | |
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| 86 | assert allclose(quantity.vertex_values, [[2., 2., 2.], |
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| 87 | [3.+2./3, 6.+2./3, 4.+2./3], |
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| 88 | [7.5, 0.5, 1.], |
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| 89 | [-5, -2.5, 7.5]]) |
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| 90 | |
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| 91 | #print quantity.edge_values |
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| 92 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 93 | [5., 5., 5.], |
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| 94 | [4.5, 4.5, 0.], |
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| 95 | [3.0, -1.5, -1.5]]) |
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| 96 | |
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| 97 | def test_boundary_allocation(self): |
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| 98 | quantity = Conserved_quantity(self.mesh4, |
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| 99 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 100 | |
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| 101 | assert quantity.boundary_values.shape[0] == len(self.mesh4.boundary) |
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| 102 | |
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| 103 | |
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| 104 | def test_set_values(self): |
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| 105 | quantity = Quantity(self.mesh4) |
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| 106 | |
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| 107 | |
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| 108 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 109 | location = 'vertices') |
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| 110 | assert allclose(quantity.vertex_values, |
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| 111 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 112 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 113 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 114 | [5., 5., 5.], |
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| 115 | [4.5, 4.5, 0.], |
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| 116 | [3.0, -1.5, -1.5]]) |
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| 117 | |
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| 118 | |
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| 119 | #Test default |
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| 120 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 121 | assert allclose(quantity.vertex_values, |
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| 122 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 123 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 124 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 125 | [5., 5., 5.], |
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| 126 | [4.5, 4.5, 0.], |
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| 127 | [3.0, -1.5, -1.5]]) |
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| 128 | |
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| 129 | #Test centroids |
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| 130 | quantity.set_values([1,2,3,4], location = 'centroids') |
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| 131 | assert allclose(quantity.centroid_values, [1., 2., 3., 4.]) #Centroid |
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| 132 | |
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| 133 | #Test edges |
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| 134 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 135 | location = 'edges') |
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| 136 | assert allclose(quantity.edge_values, |
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| 137 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 138 | |
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| 139 | #Test exceptions |
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| 140 | try: |
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| 141 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 142 | location = 'bas kamel tuba') |
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| 143 | except: |
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| 144 | pass |
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| 145 | |
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| 146 | |
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| 147 | try: |
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| 148 | quantity.set_values([[1,2,3], [0,0,9]]) |
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| 149 | except AssertionError: |
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| 150 | pass |
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| 151 | except: |
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| 152 | raise 'should have raised Assertionerror' |
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| 153 | |
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| 154 | |
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| 155 | |
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| 156 | def test_set_values_const(self): |
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| 157 | quantity = Quantity(self.mesh4) |
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| 158 | |
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| 159 | quantity.set_values(1.0, location = 'vertices') |
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| 160 | assert allclose(quantity.vertex_values, |
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| 161 | [[1,1,1], [1,1,1], [1,1,1], [1, 1, 1]]) |
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| 162 | assert allclose(quantity.centroid_values, [1, 1, 1, 1]) #Centroid |
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| 163 | assert allclose(quantity.edge_values, [[1, 1, 1], |
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| 164 | [1, 1, 1], |
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| 165 | [1, 1, 1], |
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| 166 | [1, 1, 1]]) |
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| 167 | |
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| 168 | |
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| 169 | quantity.set_values(2.0, location = 'centroids') |
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| 170 | assert allclose(quantity.centroid_values, [2, 2, 2, 2]) |
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| 171 | |
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| 172 | quantity.set_values(3.0, location = 'edges') |
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| 173 | assert allclose(quantity.edge_values, [[3, 3, 3], |
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| 174 | [3, 3, 3], |
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| 175 | [3, 3, 3], |
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| 176 | [3, 3, 3]]) |
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| 177 | |
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| 178 | |
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| 179 | def test_set_values_func(self): |
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| 180 | quantity = Quantity(self.mesh4) |
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| 181 | |
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| 182 | def f(x, y): |
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| 183 | return x+y |
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| 184 | |
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| 185 | quantity.set_values(f, location = 'vertices') |
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| 186 | #print "quantity.vertex_values",quantity.vertex_values |
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| 187 | assert allclose(quantity.vertex_values, |
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| 188 | [[2,0,2], [2,2,4], [4,2,4], [4,2,4]]) |
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| 189 | assert allclose(quantity.centroid_values, |
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| 190 | [4.0/3, 8.0/3, 10.0/3, 10.0/3]) |
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| 191 | assert allclose(quantity.edge_values, |
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| 192 | [[1,2,1], [3,3,2], [3,4,3], [3,4,3]]) |
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| 193 | |
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| 194 | |
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| 195 | quantity.set_values(f, location = 'centroids') |
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| 196 | assert allclose(quantity.centroid_values, |
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| 197 | [4.0/3, 8.0/3, 10.0/3, 10.0/3]) |
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| 198 | |
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| 199 | |
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| 200 | def test_integral(self): |
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| 201 | quantity = Quantity(self.mesh4) |
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| 202 | |
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[1393] | 203 | #Try constants first |
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| 204 | const = 5 |
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[1018] | 205 | quantity.set_values(const, location = 'vertices') |
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[1393] | 206 | #print 'Q', quantity.get_integral() |
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[1018] | 207 | |
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[1393] | 208 | assert allclose(quantity.get_integral(), self.mesh4.get_area() * const) |
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[1018] | 209 | |
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[1393] | 210 | #Try with a linear function |
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[1018] | 211 | def f(x, y): |
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| 212 | return x+y |
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| 213 | |
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| 214 | quantity.set_values(f, location = 'vertices') |
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| 215 | |
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| 216 | |
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[1393] | 217 | ref_integral = (4.0/3 + 8.0/3 + 10.0/3 + 10.0/3) * 2 |
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[1018] | 218 | |
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[1393] | 219 | assert allclose (quantity.get_integral(), ref_integral) |
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[1018] | 220 | |
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| 221 | |
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| 222 | |
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| 223 | def test_set_vertex_values(self): |
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| 224 | quantity = Quantity(self.mesh4) |
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| 225 | quantity.set_vertex_values([0,1,2,3,4,5]) |
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| 226 | |
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| 227 | assert allclose(quantity.vertex_values, |
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| 228 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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| 229 | assert allclose(quantity.centroid_values, |
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| 230 | [1., 7./3, 11./3, 8./3]) #Centroid |
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| 231 | assert allclose(quantity.edge_values, [[1., 1.5, 0.5], |
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| 232 | [3., 2.5, 1.5], |
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| 233 | [3.5, 4.5, 3.], |
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| 234 | [2.5, 3.5, 2]]) |
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| 235 | |
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| 236 | |
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| 237 | def test_set_vertex_values_subset(self): |
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| 238 | quantity = Quantity(self.mesh4) |
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| 239 | quantity.set_vertex_values([0,1,2,3,4,5]) |
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| 240 | quantity.set_vertex_values([0,20,30,50], indexes = [0,2,3,5]) |
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| 241 | |
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| 242 | assert allclose(quantity.vertex_values, |
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| 243 | [[1,0,20], [1,20,4], [4,20,50], [30,1,4]]) |
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| 244 | |
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| 245 | def test_set_vertex_values_using_general_interface(self): |
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| 246 | quantity = Quantity(self.mesh4) |
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| 247 | |
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| 248 | |
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| 249 | quantity.set_values([0,1,2,3,4,5]) |
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| 250 | |
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| 251 | |
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| 252 | assert allclose(quantity.vertex_values, |
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| 253 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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| 254 | |
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| 255 | #Centroid |
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| 256 | assert allclose(quantity.centroid_values, [1., 7./3, 11./3, 8./3]) |
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| 257 | |
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| 258 | assert allclose(quantity.edge_values, [[1., 1.5, 0.5], |
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| 259 | [3., 2.5, 1.5], |
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| 260 | [3.5, 4.5, 3.], |
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| 261 | [2.5, 3.5, 2]]) |
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| 262 | |
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| 263 | |
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| 264 | |
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| 265 | |
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| 266 | def test_gradient(self): |
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| 267 | quantity = Conserved_quantity(self.mesh4) |
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| 268 | |
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| 269 | #Set up for a gradient of (3,0) at mid triangle |
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| 270 | quantity.set_values([2.0, 4.0, 8.0, 2.0], |
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| 271 | location = 'centroids') |
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| 272 | |
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| 273 | |
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| 274 | |
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| 275 | #Gradients |
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| 276 | a, b = quantity.compute_gradients() |
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| 277 | |
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| 278 | #gradient bewteen t0 and t1 is undefined as det==0 |
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| 279 | assert a[0] == 0.0 |
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| 280 | assert b[0] == 0.0 |
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| 281 | #The others are OK |
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| 282 | for i in range(1,4): |
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| 283 | assert a[i] == 3.0 |
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| 284 | assert b[i] == 0.0 |
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| 285 | |
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| 286 | |
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| 287 | quantity.extrapolate_second_order() |
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| 288 | |
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| 289 | #print quantity.vertex_values |
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| 290 | assert allclose(quantity.vertex_values, [[2., 2., 2.], |
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| 291 | [0., 6., 6.], |
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| 292 | [6., 6., 12.], |
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| 293 | [0., 0., 6.]]) |
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| 294 | |
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| 295 | |
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| 296 | def test_second_order_extrapolation2(self): |
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| 297 | quantity = Conserved_quantity(self.mesh4) |
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| 298 | |
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| 299 | #Set up for a gradient of (3,1), f(x) = 3x+y |
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| 300 | quantity.set_values([2.0+2.0/3, 4.0+4.0/3, 8.0+2.0/3, 2.0+8.0/3], |
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| 301 | location = 'centroids') |
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| 302 | |
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| 303 | #Gradients |
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| 304 | a, b = quantity.compute_gradients() |
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| 305 | |
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| 306 | #gradient bewteen t0 and t1 is undefined as det==0 |
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| 307 | assert a[0] == 0.0 |
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| 308 | assert b[0] == 0.0 |
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| 309 | #The others are OK |
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| 310 | for i in range(1,4): |
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| 311 | assert allclose(a[i], 3.0) |
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| 312 | assert allclose(b[i], 1.0) |
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| 313 | |
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| 314 | quantity.extrapolate_second_order() |
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| 315 | |
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| 316 | #print quantity.vertex_values |
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| 317 | assert allclose(quantity.vertex_values[1,0], 2.0) |
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| 318 | assert allclose(quantity.vertex_values[1,1], 6.0) |
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| 319 | assert allclose(quantity.vertex_values[1,2], 8.0) |
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| 320 | |
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| 321 | |
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| 322 | |
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| 323 | def test_first_order_extrapolator(self): |
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| 324 | quantity = Conserved_quantity(self.mesh4) |
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| 325 | |
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| 326 | #Test centroids |
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| 327 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 328 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 329 | |
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| 330 | #Extrapolate |
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| 331 | quantity.extrapolate_first_order() |
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| 332 | |
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| 333 | #Check vertices but not edge values |
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| 334 | assert allclose(quantity.vertex_values, |
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| 335 | [[1,1,1], [2,2,2], [3,3,3], [4, 4, 4]]) |
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| 336 | |
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| 337 | |
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| 338 | def test_second_order_extrapolator(self): |
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| 339 | quantity = Conserved_quantity(self.mesh4) |
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| 340 | |
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| 341 | #Set up for a gradient of (3,0) at mid triangle |
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| 342 | quantity.set_values([2.0, 4.0, 8.0, 2.0], |
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| 343 | location = 'centroids') |
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| 344 | |
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| 345 | |
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| 346 | |
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| 347 | quantity.extrapolate_second_order() |
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| 348 | quantity.limit() |
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| 349 | |
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| 350 | |
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| 351 | #Assert that central triangle is limited by neighbours |
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| 352 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[0,0] |
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| 353 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[3,1] |
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| 354 | |
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| 355 | assert quantity.vertex_values[1,1] <= quantity.vertex_values[2,1] |
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| 356 | assert quantity.vertex_values[1,1] >= quantity.vertex_values[0,2] |
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| 357 | |
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| 358 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[2,0] |
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| 359 | assert quantity.vertex_values[1,2] >= quantity.vertex_values[3,1] |
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| 360 | |
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| 361 | |
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| 362 | #Assert that quantities are conserved |
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| 363 | from Numeric import sum |
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| 364 | for k in range(quantity.centroid_values.shape[0]): |
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| 365 | assert allclose (quantity.centroid_values[k], |
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| 366 | sum(quantity.vertex_values[k,:])/3) |
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| 367 | |
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| 368 | |
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| 369 | |
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| 370 | |
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| 371 | |
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| 372 | def test_limiter(self): |
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| 373 | quantity = Conserved_quantity(self.mesh4) |
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| 374 | |
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| 375 | #Create a deliberate overshoot (e.g. from gradient computation) |
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| 376 | quantity.set_values([[3,0,3], [2,2,6], [5,3,8], [8,3,5]]) |
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| 377 | |
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| 378 | |
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| 379 | #Limit |
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| 380 | quantity.limit() |
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| 381 | |
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| 382 | #Assert that central triangle is limited by neighbours |
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| 383 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[0,0] |
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| 384 | assert quantity.vertex_values[1,0] <= quantity.vertex_values[3,1] |
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| 385 | |
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| 386 | assert quantity.vertex_values[1,1] <= quantity.vertex_values[2,1] |
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| 387 | assert quantity.vertex_values[1,1] >= quantity.vertex_values[0,2] |
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| 388 | |
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| 389 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[2,0] |
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| 390 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[3,1] |
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| 391 | |
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| 392 | |
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| 393 | |
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| 394 | #Assert that quantities are conserved |
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| 395 | from Numeric import sum |
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| 396 | for k in range(quantity.centroid_values.shape[0]): |
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| 397 | assert allclose (quantity.centroid_values[k], |
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| 398 | sum(quantity.vertex_values[k,:])/3) |
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| 399 | |
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| 400 | |
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| 401 | def test_limiter2(self): |
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| 402 | """Taken from test_shallow_water |
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| 403 | """ |
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| 404 | quantity = Conserved_quantity(self.mesh4) |
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| 405 | |
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| 406 | #Test centroids |
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| 407 | quantity.set_values([2.,4.,8.,2.], location = 'centroids') |
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| 408 | assert allclose(quantity.centroid_values, [2, 4, 8, 2]) #Centroid |
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| 409 | |
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| 410 | |
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| 411 | #Extrapolate |
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| 412 | quantity.extrapolate_second_order() |
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| 413 | |
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| 414 | assert allclose(quantity.vertex_values[1,:], [0.0, 6, 6]) |
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| 415 | |
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| 416 | #Limit |
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| 417 | quantity.limit() |
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| 418 | |
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| 419 | |
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| 420 | assert allclose(quantity.vertex_values[1,:], [2.2, 4.9, 4.9]) |
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| 421 | |
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| 422 | |
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| 423 | #Assert that quantities are conserved |
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| 424 | from Numeric import sum |
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| 425 | for k in range(quantity.centroid_values.shape[0]): |
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| 426 | assert allclose (quantity.centroid_values[k], |
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| 427 | sum(quantity.vertex_values[k,:])/3) |
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| 428 | |
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| 429 | |
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| 430 | |
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| 431 | |
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| 432 | |
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| 433 | def test_distribute_first_order(self): |
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| 434 | quantity = Conserved_quantity(self.mesh4) |
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| 435 | |
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| 436 | #Test centroids |
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| 437 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 438 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 439 | |
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| 440 | |
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| 441 | #Extrapolate |
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| 442 | quantity.extrapolate_first_order() |
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| 443 | |
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| 444 | #Interpolate |
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| 445 | quantity.interpolate_from_vertices_to_edges() |
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| 446 | |
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| 447 | assert allclose(quantity.vertex_values, |
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| 448 | [[1,1,1], [2,2,2], [3,3,3], [4, 4, 4]]) |
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| 449 | assert allclose(quantity.edge_values, [[1,1,1], [2,2,2], |
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| 450 | [3,3,3], [4, 4, 4]]) |
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| 451 | |
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| 452 | |
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| 453 | def test_distribute_second_order(self): |
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| 454 | quantity = Conserved_quantity(self.mesh4) |
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| 455 | |
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| 456 | #Test centroids |
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| 457 | quantity.set_values([2.,4.,8.,2.], location = 'centroids') |
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| 458 | assert allclose(quantity.centroid_values, [2, 4, 8, 2]) #Centroid |
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| 459 | |
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| 460 | |
---|
| 461 | #Extrapolate |
---|
| 462 | quantity.extrapolate_second_order() |
---|
| 463 | |
---|
| 464 | assert allclose(quantity.vertex_values[1,:], [0.0, 6, 6]) |
---|
| 465 | |
---|
| 466 | |
---|
| 467 | def test_update_explicit(self): |
---|
| 468 | quantity = Conserved_quantity(self.mesh4) |
---|
| 469 | |
---|
| 470 | #Test centroids |
---|
| 471 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 472 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 473 | |
---|
| 474 | #Set explicit_update |
---|
| 475 | quantity.explicit_update = array( [1.,1.,1.,1.] ) |
---|
| 476 | |
---|
| 477 | #Update with given timestep |
---|
| 478 | quantity.update(0.1) |
---|
| 479 | |
---|
| 480 | x = array([1, 2, 3, 4]) + array( [.1,.1,.1,.1] ) |
---|
| 481 | assert allclose( quantity.centroid_values, x) |
---|
| 482 | |
---|
| 483 | def test_update_semi_implicit(self): |
---|
| 484 | quantity = Conserved_quantity(self.mesh4) |
---|
| 485 | |
---|
| 486 | #Test centroids |
---|
| 487 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 488 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 489 | |
---|
| 490 | #Set semi implicit update |
---|
| 491 | quantity.semi_implicit_update = array([1.,1.,1.,1.]) |
---|
| 492 | |
---|
| 493 | #Update with given timestep |
---|
| 494 | timestep = 0.1 |
---|
| 495 | quantity.update(timestep) |
---|
| 496 | |
---|
| 497 | sem = array([1.,1.,1.,1.])/array([1, 2, 3, 4]) |
---|
| 498 | denom = ones(4, Float)-timestep*sem |
---|
| 499 | |
---|
| 500 | x = array([1, 2, 3, 4])/denom |
---|
| 501 | assert allclose( quantity.centroid_values, x) |
---|
| 502 | |
---|
| 503 | |
---|
| 504 | def test_both_updates(self): |
---|
| 505 | quantity = Conserved_quantity(self.mesh4) |
---|
| 506 | |
---|
| 507 | #Test centroids |
---|
| 508 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 509 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 510 | |
---|
| 511 | #Set explicit_update |
---|
| 512 | quantity.explicit_update = array( [4.,3.,2.,1.] ) |
---|
| 513 | |
---|
| 514 | #Set semi implicit update |
---|
| 515 | quantity.semi_implicit_update = array( [1.,1.,1.,1.] ) |
---|
| 516 | |
---|
| 517 | #Update with given timestep |
---|
| 518 | timestep = 0.1 |
---|
| 519 | quantity.update(0.1) |
---|
| 520 | |
---|
| 521 | sem = array([1.,1.,1.,1.])/array([1, 2, 3, 4]) |
---|
| 522 | denom = ones(4, Float)-timestep*sem |
---|
| 523 | |
---|
| 524 | x = array([1, 2, 3, 4]) + array( [.4,.3,.2,.1] ) |
---|
| 525 | x /= denom |
---|
| 526 | assert allclose( quantity.centroid_values, x) |
---|
| 527 | |
---|
| 528 | |
---|
| 529 | |
---|
| 530 | |
---|
| 531 | #Test smoothing |
---|
| 532 | def test_smoothing(self): |
---|
| 533 | |
---|
| 534 | from mesh_factory import rectangular |
---|
| 535 | from shallow_water import Domain, Transmissive_boundary |
---|
| 536 | from Numeric import zeros, Float |
---|
| 537 | from util import mean |
---|
| 538 | |
---|
| 539 | #Create basic mesh |
---|
| 540 | points, vertices, boundary = rectangular(2, 2) |
---|
| 541 | |
---|
| 542 | #Create shallow water domain |
---|
| 543 | domain = Domain(points, vertices, boundary) |
---|
| 544 | domain.default_order=2 |
---|
| 545 | domain.reduction = mean |
---|
| 546 | |
---|
| 547 | |
---|
| 548 | #Set some field values |
---|
| 549 | domain.set_quantity('elevation', lambda x,y: x) |
---|
| 550 | domain.set_quantity('friction', 0.03) |
---|
| 551 | |
---|
| 552 | |
---|
| 553 | ###################### |
---|
| 554 | # Boundary conditions |
---|
| 555 | B = Transmissive_boundary(domain) |
---|
| 556 | domain.set_boundary( {'left': B, 'right': B, 'top': B, 'bottom': B}) |
---|
| 557 | |
---|
| 558 | |
---|
| 559 | ###################### |
---|
| 560 | #Initial condition - with jumps |
---|
| 561 | |
---|
| 562 | bed = domain.quantities['elevation'].vertex_values |
---|
| 563 | stage = zeros(bed.shape, Float) |
---|
| 564 | |
---|
| 565 | h = 0.03 |
---|
| 566 | for i in range(stage.shape[0]): |
---|
| 567 | if i % 2 == 0: |
---|
| 568 | stage[i,:] = bed[i,:] + h |
---|
| 569 | else: |
---|
| 570 | stage[i,:] = bed[i,:] |
---|
| 571 | |
---|
| 572 | domain.set_quantity('stage', stage) |
---|
| 573 | |
---|
| 574 | stage = domain.quantities['stage'] |
---|
| 575 | |
---|
| 576 | #Get smoothed stage |
---|
| 577 | A, V = stage.get_vertex_values(xy=False, smooth=True) |
---|
| 578 | Q = stage.vertex_values |
---|
| 579 | |
---|
| 580 | |
---|
| 581 | assert A.shape[0] == 9 |
---|
| 582 | assert V.shape[0] == 8 |
---|
| 583 | assert V.shape[1] == 3 |
---|
| 584 | |
---|
| 585 | #First four points |
---|
| 586 | assert allclose(A[0], (Q[0,2] + Q[1,1])/2) |
---|
| 587 | assert allclose(A[1], (Q[1,0] + Q[3,1] + Q[2,2])/3) |
---|
| 588 | assert allclose(A[2], Q[3,0]) |
---|
| 589 | assert allclose(A[3], (Q[0,0] + Q[5,1] + Q[4,2])/3) |
---|
| 590 | |
---|
| 591 | #Center point |
---|
| 592 | assert allclose(A[4], (Q[0,1] + Q[1,2] + Q[2,0] +\ |
---|
| 593 | Q[5,0] + Q[6,2] + Q[7,1])/6) |
---|
| 594 | |
---|
| 595 | |
---|
| 596 | #Check V |
---|
| 597 | assert allclose(V[0,:], [3,4,0]) |
---|
| 598 | assert allclose(V[1,:], [1,0,4]) |
---|
| 599 | assert allclose(V[2,:], [4,5,1]) |
---|
| 600 | assert allclose(V[3,:], [2,1,5]) |
---|
| 601 | assert allclose(V[4,:], [6,7,3]) |
---|
| 602 | assert allclose(V[5,:], [4,3,7]) |
---|
| 603 | assert allclose(V[6,:], [7,8,4]) |
---|
| 604 | assert allclose(V[7,:], [5,4,8]) |
---|
| 605 | |
---|
| 606 | #Get smoothed stage with XY |
---|
| 607 | X, Y, A1, V1 = stage.get_vertex_values(xy=True, smooth=True) |
---|
| 608 | |
---|
| 609 | assert allclose(A, A1) |
---|
| 610 | assert allclose(V, V1) |
---|
| 611 | |
---|
| 612 | #Check XY |
---|
| 613 | assert allclose(X[4], 0.5) |
---|
| 614 | assert allclose(Y[4], 0.5) |
---|
| 615 | |
---|
| 616 | assert allclose(X[7], 1.0) |
---|
| 617 | assert allclose(Y[7], 0.5) |
---|
| 618 | |
---|
| 619 | |
---|
| 620 | |
---|
| 621 | |
---|
| 622 | def test_vertex_values_no_smoothing(self): |
---|
| 623 | |
---|
| 624 | from mesh_factory import rectangular |
---|
| 625 | from shallow_water import Domain, Transmissive_boundary |
---|
| 626 | from Numeric import zeros, Float |
---|
| 627 | from util import mean |
---|
| 628 | |
---|
| 629 | |
---|
| 630 | #Create basic mesh |
---|
| 631 | points, vertices, boundary = rectangular(2, 2) |
---|
| 632 | |
---|
| 633 | #Create shallow water domain |
---|
| 634 | domain = Domain(points, vertices, boundary) |
---|
| 635 | domain.default_order=2 |
---|
| 636 | domain.reduction = mean |
---|
| 637 | |
---|
| 638 | |
---|
| 639 | #Set some field values |
---|
| 640 | domain.set_quantity('elevation', lambda x,y: x) |
---|
| 641 | domain.set_quantity('friction', 0.03) |
---|
| 642 | |
---|
| 643 | |
---|
| 644 | ###################### |
---|
| 645 | #Initial condition - with jumps |
---|
| 646 | |
---|
| 647 | bed = domain.quantities['elevation'].vertex_values |
---|
| 648 | stage = zeros(bed.shape, Float) |
---|
| 649 | |
---|
| 650 | h = 0.03 |
---|
| 651 | for i in range(stage.shape[0]): |
---|
| 652 | if i % 2 == 0: |
---|
| 653 | stage[i,:] = bed[i,:] + h |
---|
| 654 | else: |
---|
| 655 | stage[i,:] = bed[i,:] |
---|
| 656 | |
---|
| 657 | domain.set_quantity('stage', stage) |
---|
| 658 | |
---|
| 659 | #Get stage |
---|
| 660 | stage = domain.quantities['stage'] |
---|
| 661 | A, V = stage.get_vertex_values(xy=False, smooth=False) |
---|
| 662 | Q = stage.vertex_values.flat |
---|
| 663 | |
---|
| 664 | for k in range(8): |
---|
| 665 | assert allclose(A[k], Q[k]) |
---|
| 666 | |
---|
| 667 | |
---|
| 668 | for k in range(8): |
---|
| 669 | assert V[k, 0] == 3*k |
---|
| 670 | assert V[k, 1] == 3*k+1 |
---|
| 671 | assert V[k, 2] == 3*k+2 |
---|
| 672 | |
---|
| 673 | |
---|
| 674 | |
---|
| 675 | X, Y, A1, V1 = stage.get_vertex_values(xy=True, smooth=False) |
---|
| 676 | |
---|
| 677 | |
---|
| 678 | assert allclose(A, A1) |
---|
| 679 | assert allclose(V, V1) |
---|
| 680 | |
---|
| 681 | #Check XY |
---|
| 682 | assert allclose(X[1], 0.5) |
---|
| 683 | assert allclose(Y[1], 0.5) |
---|
| 684 | assert allclose(X[4], 0.0) |
---|
| 685 | assert allclose(Y[4], 0.0) |
---|
| 686 | assert allclose(X[12], 1.0) |
---|
| 687 | assert allclose(Y[12], 0.0) |
---|
| 688 | |
---|
| 689 | |
---|
| 690 | |
---|
| 691 | def set_array_values_by_index(self): |
---|
| 692 | |
---|
| 693 | from mesh_factory import rectangular |
---|
| 694 | from shallow_water import Domain |
---|
| 695 | from Numeric import zeros, Float |
---|
| 696 | |
---|
| 697 | #Create basic mesh |
---|
| 698 | points, vertices, boundary = rectangular(1, 1) |
---|
| 699 | |
---|
| 700 | #Create shallow water domain |
---|
| 701 | domain = Domain(points, vertices, boundary) |
---|
| 702 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 703 | quantity = Quantity(domain,[[1,1,1],[2,2,2]]) |
---|
| 704 | value = [7] |
---|
| 705 | indexes = [1] |
---|
| 706 | quantity.set_array_values_by_index(value, |
---|
| 707 | location = 'centroids', |
---|
| 708 | indexes = indexes) |
---|
| 709 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 710 | |
---|
| 711 | assert allclose(quantity.centroid_values, [1,7]) |
---|
| 712 | |
---|
| 713 | quantity.set_array_values([15,20,25], indexes = indexes) |
---|
| 714 | assert allclose(quantity.centroid_values, [1,20]) |
---|
| 715 | |
---|
| 716 | quantity.set_array_values([15,20,25], indexes = indexes) |
---|
| 717 | assert allclose(quantity.centroid_values, [1,20]) |
---|
| 718 | |
---|
| 719 | def test_setting_some_vertex_values(self): |
---|
| 720 | """ |
---|
| 721 | set values based on triangle lists. |
---|
| 722 | """ |
---|
| 723 | from mesh_factory import rectangular |
---|
| 724 | from shallow_water import Domain |
---|
| 725 | from Numeric import zeros, Float |
---|
| 726 | |
---|
| 727 | #Create basic mesh |
---|
| 728 | points, vertices, boundary = rectangular(1, 3) |
---|
| 729 | #print "vertices",vertices |
---|
| 730 | #Create shallow water domain |
---|
| 731 | domain = Domain(points, vertices, boundary) |
---|
| 732 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 733 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 734 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 735 | value = [7] |
---|
| 736 | indexes = [1] |
---|
| 737 | quantity.set_values(value, |
---|
| 738 | location = 'centroids', |
---|
| 739 | indexes = indexes) |
---|
| 740 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 741 | assert allclose(quantity.centroid_values, [1,7,3,4,5,6]) |
---|
| 742 | |
---|
| 743 | value = [[15,20,25]] |
---|
| 744 | quantity.set_values(value, indexes = indexes) |
---|
| 745 | #print "1 quantity.vertex_values",quantity.vertex_values |
---|
| 746 | assert allclose(quantity.vertex_values[1], value[0]) |
---|
| 747 | |
---|
| 748 | |
---|
| 749 | #print "quantity",quantity.vertex_values |
---|
| 750 | values = [10,100,50] |
---|
| 751 | quantity.set_values(values, indexes = [0,1,5], location = 'centroids') |
---|
| 752 | #print "2 quantity.vertex_values",quantity.vertex_values |
---|
| 753 | assert allclose(quantity.vertex_values[0], [10,10,10]) |
---|
| 754 | assert allclose(quantity.vertex_values[5], [50,50,50]) |
---|
| 755 | #quantity.interpolate() |
---|
| 756 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 757 | assert allclose(quantity.centroid_values, [10,100,3,4,5,50]) |
---|
| 758 | |
---|
| 759 | |
---|
| 760 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 761 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 762 | values = [10,100,50] |
---|
| 763 | #this will be per unique vertex, indexing the vertices |
---|
| 764 | #print "quantity.vertex_values",quantity.vertex_values |
---|
| 765 | quantity.set_values(values, indexes = [0,1,5]) |
---|
| 766 | #print "quantity.vertex_values",quantity.vertex_values |
---|
| 767 | assert allclose(quantity.vertex_values[0], [1,50,10]) |
---|
| 768 | assert allclose(quantity.vertex_values[5], [6,6,6]) |
---|
| 769 | assert allclose(quantity.vertex_values[1], [100,10,50]) |
---|
| 770 | |
---|
| 771 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 772 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 773 | values = [[31,30,29],[400,400,400],[1000,999,998]] |
---|
| 774 | quantity.set_values(values, indexes = [3,3,5]) |
---|
| 775 | quantity.interpolate() |
---|
| 776 | assert allclose(quantity.centroid_values, [1,2,3,400,5,999]) |
---|
| 777 | |
---|
| 778 | values = [[1,1,1],[2,2,2],[3,3,3], |
---|
| 779 | [4,4,4],[5,5,5],[6,6,6]] |
---|
| 780 | quantity.set_values(values) |
---|
| 781 | |
---|
| 782 | # testing the standard set values by vertex |
---|
| 783 | # indexed by vertex_id in general_mesh.coordinates |
---|
| 784 | values = [0,1,2,3,4,5,6,7] |
---|
| 785 | |
---|
| 786 | quantity.set_values(values) |
---|
| 787 | #print "1 quantity.vertex_values",quantity.vertex_values |
---|
| 788 | assert allclose(quantity.vertex_values,[[ 4., 5., 0.], |
---|
| 789 | [ 1., 0., 5.], |
---|
| 790 | [ 5., 6., 1.], |
---|
| 791 | [ 2., 1., 6.], |
---|
| 792 | [ 6., 7., 2.], |
---|
| 793 | [ 3., 2., 7.]]) |
---|
| 794 | |
---|
| 795 | def test_setting_unique_vertex_values(self): |
---|
| 796 | """ |
---|
| 797 | set values based on unique_vertex lists. |
---|
| 798 | """ |
---|
| 799 | from mesh_factory import rectangular |
---|
| 800 | from shallow_water import Domain |
---|
| 801 | from Numeric import zeros, Float |
---|
| 802 | |
---|
| 803 | #Create basic mesh |
---|
| 804 | points, vertices, boundary = rectangular(1, 3) |
---|
| 805 | #print "vertices",vertices |
---|
| 806 | #Create shallow water domain |
---|
| 807 | domain = Domain(points, vertices, boundary) |
---|
| 808 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 809 | quantity = Quantity(domain,[[0,0,0],[1,1,1],[2,2,2],[3,3,3], |
---|
| 810 | [4,4,4],[5,5,5]]) |
---|
| 811 | value = 7 |
---|
| 812 | indexes = [1,5] |
---|
| 813 | quantity.set_values(value, |
---|
| 814 | location = 'unique vertices', |
---|
| 815 | indexes = indexes) |
---|
| 816 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 817 | assert allclose(quantity.vertex_values[0], [0,7,0]) |
---|
| 818 | assert allclose(quantity.vertex_values[1], [7,1,7]) |
---|
| 819 | assert allclose(quantity.vertex_values[2], [7,2,7]) |
---|
| 820 | |
---|
| 821 | |
---|
| 822 | def test_get_values(self): |
---|
| 823 | """ |
---|
| 824 | get values based on triangle lists. |
---|
| 825 | """ |
---|
| 826 | from mesh_factory import rectangular |
---|
| 827 | from shallow_water import Domain |
---|
| 828 | from Numeric import zeros, Float |
---|
| 829 | |
---|
| 830 | #Create basic mesh |
---|
| 831 | points, vertices, boundary = rectangular(1, 3) |
---|
| 832 | |
---|
| 833 | #print "points",points |
---|
| 834 | #print "vertices",vertices |
---|
| 835 | #print "boundary",boundary |
---|
| 836 | |
---|
| 837 | #Create shallow water domain |
---|
| 838 | domain = Domain(points, vertices, boundary) |
---|
| 839 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 840 | quantity = Quantity(domain,[[0,0,0],[1,1,1],[2,2,2],[3,3,3], |
---|
| 841 | [4,4,4],[5,5,5]]) |
---|
| 842 | |
---|
| 843 | #print "quantity.get_values(location = 'unique vertices')", \ |
---|
| 844 | # quantity.get_values(location = 'unique vertices') |
---|
| 845 | |
---|
| 846 | #print "quantity.get_values(location = 'unique vertices')", \ |
---|
| 847 | # quantity.get_values(indexes=[0,1,2,3,4,5,6,7], \ |
---|
| 848 | # location = 'unique vertices') |
---|
| 849 | |
---|
| 850 | answer = [0.5,2,4,5,0,1,3,4.5] |
---|
| 851 | assert allclose(answer, |
---|
| 852 | quantity.get_values(location = 'unique vertices')) |
---|
| 853 | |
---|
| 854 | indexes = [0,5,3] |
---|
| 855 | answer = [0.5,1,5] |
---|
| 856 | assert allclose(answer, |
---|
| 857 | quantity.get_values(indexes=indexes, \ |
---|
| 858 | location = 'unique vertices')) |
---|
| 859 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 860 | #print "quantity.get_values(location = 'centroids') ",\ |
---|
| 861 | # quantity.get_values(location = 'centroids') |
---|
| 862 | |
---|
| 863 | def test_getting_some_vertex_values(self): |
---|
| 864 | """ |
---|
| 865 | get values based on triangle lists. |
---|
| 866 | """ |
---|
| 867 | from mesh_factory import rectangular |
---|
| 868 | from shallow_water import Domain |
---|
| 869 | from Numeric import zeros, Float |
---|
| 870 | |
---|
| 871 | #Create basic mesh |
---|
| 872 | points, vertices, boundary = rectangular(1, 3) |
---|
| 873 | |
---|
| 874 | #print "points",points |
---|
| 875 | #print "vertices",vertices |
---|
| 876 | #print "boundary",boundary |
---|
| 877 | |
---|
| 878 | #Create shallow water domain |
---|
| 879 | domain = Domain(points, vertices, boundary) |
---|
| 880 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 881 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 882 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 883 | value = [7] |
---|
| 884 | indexes = [1] |
---|
| 885 | quantity.set_values(value, |
---|
| 886 | location = 'centroids', |
---|
| 887 | indexes = indexes) |
---|
| 888 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 889 | #print "quantity.get_values(location = 'centroids') ",\ |
---|
| 890 | # quantity.get_values(location = 'centroids') |
---|
| 891 | assert allclose(quantity.centroid_values, |
---|
| 892 | quantity.get_values(location = 'centroids')) |
---|
| 893 | |
---|
| 894 | |
---|
| 895 | value = [[15,20,25]] |
---|
| 896 | quantity.set_values(value, indexes = indexes) |
---|
| 897 | #print "1 quantity.vertex_values",quantity.vertex_values |
---|
| 898 | assert allclose(quantity.vertex_values, quantity.get_values()) |
---|
| 899 | |
---|
| 900 | assert allclose(quantity.edge_values, |
---|
| 901 | quantity.get_values(location = 'edges')) |
---|
| 902 | |
---|
| 903 | # get a subset of elements |
---|
| 904 | subset = quantity.get_values(location='centroids', indexes=[0,5]) |
---|
| 905 | answer = [quantity.centroid_values[0],quantity.centroid_values[5]] |
---|
| 906 | assert allclose(subset, answer) |
---|
| 907 | |
---|
| 908 | |
---|
| 909 | subset = quantity.get_values(location='edges', indexes=[0,5]) |
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| 910 | answer = [quantity.edge_values[0],quantity.edge_values[5]] |
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| 911 | #print "subset",subset |
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| 912 | #print "answer",answer |
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| 913 | assert allclose(subset, answer) |
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| 914 | |
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| 915 | subset = quantity.get_values( indexes=[1,5]) |
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| 916 | answer = [quantity.vertex_values[1],quantity.vertex_values[5]] |
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| 917 | #print "subset",subset |
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| 918 | #print "answer",answer |
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| 919 | assert allclose(subset, answer) |
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| 920 | |
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| 921 | |
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| 922 | |
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| 923 | #------------------------------------------------------------- |
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| 924 | if __name__ == "__main__": |
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| 925 | suite = unittest.makeSuite(Test_Quantity,'test') |
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| 926 | #print "restricted test" |
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| 927 | #suite = unittest.makeSuite(Test_Quantity,'test_set_vertex_values_subset') |
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| 928 | runner = unittest.TextTestRunner() |
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| 929 | runner.run(suite) |
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