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 sww_domain import * |
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8 | import sww_python |
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9 | |
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10 | |
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11 | import numpy |
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12 | |
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13 | |
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14 | class Test_Shallow_Water(unittest.TestCase): |
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15 | def setUp(self): |
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16 | self.points = [0.0, 1.0, 2.0, 3.0] |
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17 | self.vertex_values = [[1.0,2.0],[4.0,5.0],[-1.0,2.0]] |
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18 | self.points2 = [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0] |
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19 | |
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20 | def tearDown(self): |
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21 | pass |
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22 | #print " Tearing down" |
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23 | |
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24 | |
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25 | def test_creation(self): |
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26 | domain = Domain(self.points) |
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27 | assert numpy.allclose(domain.centroids, [0.5, 1.5, 2.5]) |
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28 | |
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29 | def test_compute_fluxes(self): |
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30 | """ |
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31 | Compare shallow_water_domain flux calculation against a previous |
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32 | Python implementation (defined in this file) |
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33 | """ |
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34 | domain = Domain(self.points) |
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35 | domain.set_quantity('stage',2.0) |
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36 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
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37 | |
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38 | stage_ud, xmom_ud = sww_python.compute_fluxes(domain) |
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39 | |
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40 | domain.distribute_to_vertices_and_edges() |
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41 | domain.compute_fluxes() |
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42 | |
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43 | print domain.quantities['stage'].explicit_update |
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44 | print domain.quantities['xmomentum'].explicit_update |
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45 | |
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46 | print stage_ud |
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47 | print xmom_ud |
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48 | |
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49 | assert numpy.allclose( domain.quantities['stage'].explicit_update, stage_ud ) |
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50 | assert numpy.allclose( domain.quantities['xmomentum'].explicit_update, xmom_ud ) |
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51 | |
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52 | |
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53 | def test_sww_python_flux_function(self): |
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54 | normal = 1.0 |
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55 | ql = numpy.array([1.0, 2.0],numpy.float) |
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56 | qr = numpy.array([1.0, 2.0],numpy.float) |
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57 | zl = 0.0 |
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58 | zr = 0.0 |
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59 | |
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60 | #This assumes h0 = 1.0e-3!! |
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61 | edgeflux, maxspeed = sww_python.flux_function(normal, ql,qr,zl,zr) |
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62 | #print maxspeed |
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63 | #print edgeflux |
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64 | |
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65 | assert numpy.allclose([2.0, 8.9], edgeflux, rtol=1.0e-005) |
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66 | assert numpy.allclose(5.1305, maxspeed, rtol=1.0e-005) |
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67 | |
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68 | normal = -1.0 |
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69 | ql = numpy.array([1.0, 2.0],numpy.float) |
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70 | qr = numpy.array([1.0, 2.0],numpy.float) |
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71 | zl = 0.0 |
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72 | zr = 0.0 |
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73 | |
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74 | edgeflux, maxspeed = sww_python.flux_function(normal, ql,qr,zl,zr) |
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75 | |
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76 | |
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77 | #print maxspeed |
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78 | #print edgeflux |
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79 | |
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80 | assert numpy.allclose([-2.0, -8.9], edgeflux, rtol=1.0e-005) |
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81 | assert numpy.allclose(5.1305, maxspeed, rtol=1.0e-005) |
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82 | |
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83 | |
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84 | |
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85 | def test_gravity(self): |
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86 | """ |
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87 | Compare shallow_water_domain gravity calculation |
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88 | """ |
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89 | |
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90 | def slope_one(x): |
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91 | return x |
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92 | |
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93 | domain = Domain(self.points) |
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94 | domain.set_quantity('stage',4.0) |
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95 | domain.set_quantity('elevation',slope_one) |
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96 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
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97 | |
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98 | gravity(domain) |
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99 | |
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100 | #print domain.quantities['stage'].vertex_values |
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101 | #print domain.quantities['elevation'].vertex_values |
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102 | #print domain.quantities['xmomentum'].explicit_update |
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103 | |
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104 | assert numpy.allclose( [-34.3, -24.5, -14.7], domain.quantities['xmomentum'].explicit_update ) |
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105 | |
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106 | |
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107 | def test_evolve_first_order(self): |
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108 | """ |
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109 | Compare still lake solution for various versions of shallow_water_domain |
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110 | """ |
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111 | |
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112 | def slope_square(x): |
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113 | return numpy.maximum(4.0-(x-5.0)*(x-5.0), 0.0) |
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114 | |
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115 | domain = Domain(self.points2) |
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116 | domain.set_quantity('stage',10.0) |
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117 | domain.set_quantity('elevation',slope_square) |
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118 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
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119 | |
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120 | domain.default_order = 1 |
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121 | domain.set_timestepping_method('euler') |
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122 | |
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123 | yieldstep=1.0 |
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124 | finaltime=1.0 |
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125 | |
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126 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
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127 | #pass |
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128 | |
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129 | print domain.quantities['stage'].vertex_values |
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130 | print domain.quantities['elevation'].vertex_values |
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131 | print domain.quantities['xmomentum'].vertex_values |
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132 | |
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133 | |
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134 | print domain.quantities['stage'].centroid_values |
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135 | print domain.quantities['elevation'].centroid_values |
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136 | print domain.quantities['xmomentum'].centroid_values |
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137 | |
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138 | assert numpy.allclose( 10.0*numpy.ones(10), domain.quantities['stage'].centroid_values ) |
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139 | assert numpy.allclose( numpy.zeros(10), domain.quantities['xmomentum'].centroid_values ) |
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140 | |
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141 | |
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142 | def test_evolve_euler_second_order_space(self): |
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143 | """ |
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144 | Compare still lake solution for various versions of shallow_water_domain |
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145 | """ |
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146 | |
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147 | def slope_square(x): |
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148 | return numpy.maximum(4.0-(x-5.0)*(x-5.0), 0.0) |
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149 | |
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150 | domain = Domain(self.points2) |
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151 | domain.set_quantity('stage',10.0) |
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152 | domain.set_quantity('elevation',slope_square) |
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153 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
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154 | |
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155 | domain.default_order = 2 |
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156 | domain.set_timestepping_method('rk2') |
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157 | yieldstep=1.0 |
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158 | finaltime=1.0 |
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159 | |
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160 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
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161 | pass |
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162 | |
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163 | assert numpy.allclose( 10.0*ones(10), domain.quantities['stage'].centroid_values ) |
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164 | assert numpy.allclose( zeros(10), domain.quantities['xmomentum'].centroid_values ) |
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165 | |
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166 | def test_evolve_second_order_space_time(self): |
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167 | """ |
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168 | Compare still lake solution for various versions of shallow_water_domain |
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169 | """ |
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170 | |
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171 | def slope_square(x): |
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172 | return numpy.maximum(4.0-(x-5.0)*(x-5.0), 0.0) |
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173 | |
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174 | domain = Domain(self.points2) |
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175 | domain.set_quantity('stage',10.0) |
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176 | domain.set_quantity('elevation',slope_square) |
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177 | domain.set_boundary({'exterior' : Reflective_boundary(domain)}) |
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178 | |
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179 | domain.default_order = 2 |
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180 | domain.set_timestepping_method('rk3') |
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181 | |
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182 | yieldstep=1.0 |
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183 | finaltime=1.0 |
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184 | |
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185 | for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime): |
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186 | pass |
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187 | |
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188 | assert numpy.allclose( 10.0*ones(10), domain.quantities['stage'].centroid_values ) |
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189 | assert numpy.allclose( zeros(10), domain.quantities['xmomentum'].centroid_values ) |
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190 | |
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191 | |
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192 | |
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193 | #============================================================================== |
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194 | |
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195 | if __name__ == "__main__": |
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196 | suite = unittest.makeSuite(Test_Shallow_Water, 'test') |
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197 | #suite = unittest.makeSuite(Test_Shallow_Water, 'test_evolve_first_order') |
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198 | |
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199 | |
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200 | runner = unittest.TextTestRunner() |
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201 | runner.run(suite) |
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