| 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 | from config import g, epsilon |
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| 7 | from Numeric import allclose, array, zeros, ones, Float |
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| 8 | from advection import * |
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| 9 | |
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| 10 | |
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| 11 | class Test_Advection(unittest.TestCase): |
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| 12 | def setUp(self): |
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| 13 | pass |
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| 14 | |
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| 15 | def tearDown(self): |
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| 16 | pass |
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| 17 | |
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| 18 | def test_init(self): |
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| 19 | a = [0.0, 0.0] |
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| 20 | b = [0.0, 2.0] |
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| 21 | c = [2.0,0.0] |
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| 22 | d = [0.0, 4.0] |
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| 23 | e = [2.0, 2.0] |
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| 24 | f = [4.0,0.0] |
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| 25 | |
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| 26 | points = [a, b, c, d, e, f] |
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| 27 | #bac, bce, ecf, dbe, daf, dae |
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| 28 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 29 | |
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| 30 | domain = Domain(points, vertices) |
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| 31 | domain.check_integrity() |
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| 32 | |
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| 33 | assert domain.quantities.has_key('stage') |
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| 34 | |
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| 35 | assert domain.get_conserved_quantities(0, edge=1) == 0. |
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| 36 | |
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| 37 | |
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| 38 | def test_flux_1_triangle0(self): |
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| 39 | a = [0.0, 0.5] |
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| 40 | b = [0.0, 0.0] |
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| 41 | c = [0.5, 0.5] |
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| 42 | |
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| 43 | points = [a, b, c] |
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| 44 | vertices = [ [0,1,2] ] |
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| 45 | domain = Domain(points, vertices) |
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| 46 | domain.check_integrity() |
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| 47 | |
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| 48 | |
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| 49 | #Populate boundary array with dirichlet conditions. |
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| 50 | domain.neighbours = array([[-1,-2,-3]]) |
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| 51 | domain.quantities['stage'].boundary_values[:] = 1.0 |
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| 52 | |
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| 53 | domain.order = 1 |
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| 54 | |
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| 55 | domain.distribute_to_vertices_and_edges() #Use first order default |
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| 56 | |
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| 57 | domain.check_integrity() |
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| 58 | |
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| 59 | domain.compute_fluxes() |
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| 60 | U = -domain.quantities['stage'].explicit_update |
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| 61 | R = -0.5/domain.areas[0] |
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| 62 | |
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| 63 | assert U==R, '%s %s' %(U, R) |
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| 64 | |
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| 65 | |
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| 66 | def test_flux_1_triangle1(self): |
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| 67 | |
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| 68 | a = [0.0, 0.5] |
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| 69 | b = [0.0, 0.0] |
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| 70 | c = [0.5, 0.5] |
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| 71 | |
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| 72 | points = [a, b, c] |
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| 73 | vertices = [ [0,1,2] ] |
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| 74 | domain = Domain(points, vertices) |
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| 75 | domain.check_integrity() |
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| 76 | |
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| 77 | domain.set_quantity('stage', [1.0], 'centroids') |
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| 78 | |
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| 79 | domain.distribute_to_vertices_and_edges() |
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| 80 | domain.check_integrity() |
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| 81 | |
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| 82 | |
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| 83 | domain.compute_fluxes() |
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| 84 | U = -domain.quantities['stage'].explicit_update |
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| 85 | R = 0.5/domain.areas[0] |
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| 86 | |
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| 87 | assert U==R, '%s %s' %(U, R) |
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| 88 | |
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| 89 | |
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| 90 | |
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| 91 | def test_flux_1_triangle2(self): |
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| 92 | |
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| 93 | a = [0.0, 0.5] |
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| 94 | b = [0.0, 0.0] |
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| 95 | c = [0.5, 0.5] |
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| 96 | |
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| 97 | points = [a, b, c] |
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| 98 | vertices = [ [0,1,2] ] |
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| 99 | domain = Domain(points, vertices) |
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| 100 | domain.check_integrity() |
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| 101 | |
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| 102 | |
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| 103 | #Populate boundary array with dirichlet conditions. |
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| 104 | domain.neighbours = array([[-1,-2,-3]]) |
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| 105 | domain.quantities['stage'].boundary_values[0] = 1.0 |
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| 106 | |
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| 107 | domain.distribute_to_vertices_and_edges() #Use first order default |
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| 108 | |
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| 109 | domain.check_integrity() |
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| 110 | |
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| 111 | domain.compute_fluxes() |
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| 112 | U = domain.quantities['stage'].explicit_update |
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| 113 | assert allclose(U, 0) |
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| 114 | |
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| 115 | |
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| 116 | |
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| 117 | |
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| 118 | def test_flux_2_triangles(self): |
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| 119 | """Flow between two triangles |
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| 120 | Check that fluxes have opposite signs |
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| 121 | """ |
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| 122 | |
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| 123 | a = [0.0, 0.5] |
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| 124 | b = [0.0, 0.0] |
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| 125 | c = [0.5, 0.5] |
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| 126 | d = [0.5, 0.0] |
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| 127 | |
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| 128 | points = [a, b, c, d] |
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| 129 | vertices = [ [0,1,2], [3,2,1] ] |
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| 130 | domain = Domain(points, vertices) |
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| 131 | domain.check_integrity() |
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| 132 | |
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| 133 | |
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| 134 | #Populate boundary array with dirichlet conditions. |
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| 135 | domain.neighbours = array([[1,-1,-2], [0,-3,-4]]) |
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| 136 | domain.set_quantity('stage', [1.0, 0.0], 'centroids') |
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| 137 | domain.distribute_to_vertices_and_edges() |
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| 138 | |
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| 139 | domain.compute_fluxes() |
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| 140 | |
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| 141 | X = domain.quantities['stage'].explicit_update |
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| 142 | assert X[0] == -X[1] |
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| 143 | |
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| 144 | |
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| 145 | def test_advection_example(self): |
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| 146 | #Test that system can evolve |
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| 147 | |
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| 148 | from mesh_factory import rectangular |
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| 149 | |
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| 150 | points, vertices, boundary = rectangular(6, 6) |
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| 151 | |
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| 152 | #Create advection domain with direction (1,-1) |
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| 153 | domain = Domain(points, vertices, boundary, velocity=[1.0, -1.0]) |
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| 154 | |
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| 155 | # Initial condition is zero by default |
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| 156 | |
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| 157 | #Boundaries |
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| 158 | T = Transmissive_boundary(domain) |
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| 159 | D = Dirichlet_boundary(array([3.1415])) |
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| 160 | |
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| 161 | domain.set_boundary( {'left': D, 'right': T, 'bottom': T, 'top': T} ) |
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| 162 | domain.check_integrity() |
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| 163 | |
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| 164 | #Check that the boundary value gets propagated to all elements |
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| 165 | for t in domain.evolve(yieldstep = 0.05, finaltime = 10): |
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| 166 | if allclose(domain.quantities['stage'].centroid_values, 3.1415): |
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| 167 | break |
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| 168 | |
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| 169 | assert allclose(domain.quantities['stage'].centroid_values, 3.1415) |
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| 170 | |
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| 171 | |
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| 172 | #------------------------------------------------------------- |
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| 173 | if __name__ == "__main__": |
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| 174 | suite = unittest.makeSuite(Test_Advection,'test') |
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| 175 | runner = unittest.TextTestRunner() |
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| 176 | runner.run(suite) |
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