1 | #!/usr/bin/env python |
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2 | |
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3 | import unittest, os |
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4 | import os.path |
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5 | from math import pi, sqrt |
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6 | import tempfile |
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7 | |
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8 | from anuga.config import g, epsilon |
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9 | from anuga.config import netcdf_mode_r, netcdf_mode_w, netcdf_mode_a |
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10 | from anuga.utilities.numerical_tools import mean |
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11 | from anuga.geometry.polygon import is_inside_polygon |
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12 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
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13 | from anuga.abstract_2d_finite_volumes.quantity import Quantity |
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14 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
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15 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
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16 | |
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17 | from anuga.utilities.system_tools import get_pathname_from_package |
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18 | from swb_domain import * |
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19 | |
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20 | import numpy as num |
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21 | |
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22 | # Get gateway to C implementation of flux function for direct testing |
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23 | from shallow_water_ext import flux_function_central as flux_function |
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24 | |
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25 | |
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26 | |
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27 | |
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28 | class Test_swb_distribute(unittest.TestCase): |
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29 | def setUp(self): |
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30 | pass |
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31 | |
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32 | def tearDown(self): |
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33 | pass |
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34 | |
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35 | |
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36 | |
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37 | |
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38 | def test_first_order_extrapolator_const_z(self): |
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39 | a = [0.0, 0.0] |
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40 | b = [0.0, 2.0] |
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41 | c = [2.0, 0.0] |
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42 | d = [0.0, 4.0] |
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43 | e = [2.0, 2.0] |
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44 | f = [4.0, 0.0] |
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45 | |
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46 | points = [a, b, c, d, e, f] |
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47 | # bac, bce, ecf, dbe |
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48 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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49 | |
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50 | domain = Domain(points, vertices) |
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51 | val0 = 2. + 2.0/3 |
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52 | val1 = 4. + 4.0/3 |
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53 | val2 = 8. + 2.0/3 |
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54 | val3 = 2. + 8.0/3 |
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55 | |
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56 | zl = zr = -3.75 # Assume constant bed (must be less than stage) |
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57 | domain.set_quantity('elevation', zl*num.ones((4, 3), num.int)) #array default# |
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58 | domain.set_quantity('stage', [[val0, val0-1, val0-2], |
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59 | [val1, val1+1, val1], |
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60 | [val2, val2-2, val2], |
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61 | [val3-0.5, val3, val3]]) |
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62 | |
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63 | domain._order_ = 1 |
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64 | domain.distribute_to_vertices_and_edges() |
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65 | |
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66 | #Check that centroid values were distributed to vertices |
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67 | C = domain.quantities['stage'].centroid_values |
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68 | for i in range(3): |
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69 | assert num.allclose(domain.quantities['stage'].vertex_values[:,i], |
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70 | C) |
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71 | |
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72 | |
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73 | |
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74 | |
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75 | def test_first_order_limiter_variable_z(self): |
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76 | '''Check that first order limiter follows bed_slope''' |
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77 | |
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78 | from anuga.config import epsilon |
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79 | |
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80 | a = [0.0, 0.0] |
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81 | b = [0.0, 2.0] |
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82 | c = [2.0,0.0] |
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83 | d = [0.0, 4.0] |
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84 | e = [2.0, 2.0] |
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85 | f = [4.0,0.0] |
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86 | |
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87 | points = [a, b, c, d, e, f] |
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88 | #bac, bce, ecf, dbe |
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89 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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90 | |
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91 | domain = Domain(points, vertices) |
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92 | val0 = 2.+2.0/3 |
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93 | val1 = 4.+4.0/3 |
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94 | val2 = 8.+2.0/3 |
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95 | val3 = 2.+8.0/3 |
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96 | |
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97 | domain.set_quantity('elevation', [[0,0,0], [6,0,0], |
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98 | [6,6,6], [6,6,6]]) |
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99 | domain.set_quantity('stage', [[val0, val0, val0], |
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100 | [val1, val1, val1], |
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101 | [val2, val2, val2], |
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102 | [val3, val3, val3]]) |
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103 | |
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104 | E = domain.quantities['elevation'].vertex_values |
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105 | L = domain.quantities['stage'].vertex_values |
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106 | |
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107 | |
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108 | #Check that some stages are not above elevation (within eps) |
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109 | #- so that the limiter has something to work with |
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110 | assert not num.alltrue(num.alltrue(num.greater_equal(L,E-epsilon))) |
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111 | |
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112 | domain._order_ = 1 |
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113 | domain.distribute_to_vertices_and_edges() |
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114 | |
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115 | #Check that all stages are above elevation (within eps) |
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116 | assert num.alltrue(num.alltrue(num.greater_equal(L,E-epsilon))) |
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117 | |
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118 | |
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119 | |
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120 | |
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121 | |
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122 | def test_distribute_basic(self): |
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123 | #Using test data generated by abstract_2d_finite_volumes-2 |
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124 | #Assuming no friction and flat bed (0.0) |
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125 | |
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126 | a = [0.0, 0.0] |
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127 | b = [0.0, 2.0] |
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128 | c = [2.0, 0.0] |
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129 | d = [0.0, 4.0] |
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130 | e = [2.0, 2.0] |
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131 | f = [4.0, 0.0] |
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132 | |
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133 | points = [a, b, c, d, e, f] |
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134 | # bac, bce, ecf, dbe |
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135 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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136 | |
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137 | domain = Domain(points, vertices) |
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138 | |
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139 | val0 = 2. |
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140 | val1 = 4. |
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141 | val2 = 8. |
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142 | val3 = 2. |
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143 | |
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144 | domain.set_quantity('stage', [val0, val1, val2, val3], |
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145 | location='centroids') |
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146 | L = domain.quantities['stage'].vertex_values |
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147 | |
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148 | # First order |
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149 | domain.set_default_order(1) |
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150 | domain.distribute_to_vertices_and_edges() |
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151 | |
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152 | assert num.allclose(L[1], val1) |
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153 | |
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154 | # Second order |
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155 | domain.set_default_order(2) |
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156 | domain.distribute_to_vertices_and_edges() |
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157 | |
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158 | assert num.allclose(L[1], [0.0, 6.0, 6.0], atol=2.0e-3 ) |
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159 | |
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160 | assert num.allclose(val1, num.sum(L[1])/3) |
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161 | |
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162 | def test_distribute_away_from_bed(self): |
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163 | #Using test data generated by abstract_2d_finite_volumes-2 |
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164 | #Assuming no friction and flat bed (0.0) |
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165 | |
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166 | a = [0.0, 0.0] |
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167 | b = [0.0, 2.0] |
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168 | c = [2.0, 0.0] |
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169 | d = [0.0, 4.0] |
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170 | e = [2.0, 2.0] |
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171 | f = [4.0, 0.0] |
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172 | |
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173 | points = [a, b, c, d, e, f] |
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174 | # bac, bce, ecf, dbe |
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175 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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176 | |
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177 | domain = Domain(points, vertices) |
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178 | L = domain.quantities['stage'].vertex_values |
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179 | |
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180 | def stage(x, y): |
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181 | return x**2 |
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182 | |
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183 | domain.set_quantity('stage', stage, location='centroids') |
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184 | domain.set_quantity('elevation',-3.0) |
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185 | |
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186 | domain.quantities['stage'].compute_gradients() |
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187 | |
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188 | a, b = domain.quantities['stage'].get_gradients() |
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189 | |
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190 | assert num.allclose(a[1], 3.33333334) |
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191 | assert num.allclose(b[1], 0.0) |
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192 | |
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193 | domain.set_default_order(1) |
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194 | domain.distribute_to_vertices_and_edges() |
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195 | |
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196 | f1 = stage(4.0/3.0, 4.0/3.0) |
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197 | assert num.allclose(L[1], f1) |
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198 | |
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199 | domain.set_default_order(2) |
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200 | domain.distribute_to_vertices_and_edges() |
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201 | |
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202 | |
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203 | fv0 = f1 - a[1]*4.0/3.0 + b[1]*2.0/3.0 |
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204 | fv1 = f1 + a[1]*2.0/3.0 - b[1]*4.0/3.0 |
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205 | fv2 = f1 + a[1]*2.0/3.0 + b[1]*2.0/3.0 |
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206 | |
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207 | assert num.allclose(L[1], [fv0,fv1,fv2]) |
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208 | |
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209 | assert num.allclose(f1, num.sum(L[1])/3) |
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210 | |
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211 | def test_distribute_away_from_bed1(self): |
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212 | #Using test data generated by abstract_2d_finite_volumes-2 |
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213 | #Assuming no friction and flat bed (0.0) |
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214 | |
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215 | a = [0.0, 0.0] |
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216 | b = [0.0, 2.0] |
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217 | c = [2.0, 0.0] |
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218 | d = [0.0, 4.0] |
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219 | e = [2.0, 2.0] |
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220 | f = [4.0, 0.0] |
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221 | |
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222 | points = [a, b, c, d, e, f] |
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223 | # bac, bce, ecf, dbe |
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224 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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225 | |
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226 | domain = Domain(points, vertices) |
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227 | L = domain.quantities['stage'].vertex_values |
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228 | |
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229 | def stage(x, y): |
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230 | return x**4 + y**2 |
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231 | |
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232 | domain.set_quantity('stage', stage, location='centroids') |
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233 | domain.set_quantity('elevation', -10.0) |
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234 | |
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235 | domain.quantities['stage'].compute_gradients() |
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236 | a, b = domain.quantities['stage'].get_gradients() |
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237 | assert num.allclose(a[1], 25.18518519) |
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238 | assert num.allclose(b[1], 3.33333333) |
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239 | |
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240 | domain.set_default_order(1) |
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241 | domain.distribute_to_vertices_and_edges() |
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242 | |
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243 | f1 = stage(4.0/3.0, 4.0/3.0) |
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244 | assert num.allclose(L[1], f1) |
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245 | |
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246 | domain.set_default_order(2) |
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247 | domain.distribute_to_vertices_and_edges() |
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248 | |
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249 | |
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250 | fv0 = f1 - a[1]*4.0/3.0 + b[1]*2.0/3.0 |
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251 | fv1 = f1 + a[1]*2.0/3.0 - b[1]*4.0/3.0 |
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252 | fv2 = f1 + a[1]*2.0/3.0 + b[1]*2.0/3.0 |
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253 | |
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254 | |
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255 | assert num.allclose(L[1], [ fv0, fv1, fv2]) or \ |
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256 | num.allclose(L[1], [ -9.23392657, 10.51787718, 13.5308642 ]) |
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257 | |
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258 | |
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259 | def test_distribute_near_bed(self): |
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260 | a = [0.0, 0.0] |
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261 | b = [0.0, 2.0] |
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262 | c = [1.0, 1.0] |
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263 | d = [2.0, 0.0] |
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264 | e = [2.0, 2.0] |
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265 | |
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266 | |
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267 | points = [a, b, c, d, e] |
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268 | |
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269 | vertices = [[0,3,2], [0,2,1], [2,3,4], [1,2,4]] |
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270 | |
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271 | domain = Domain(points, vertices) |
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272 | |
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273 | # Set up for a gradient of (10,0) at mid triangle (bce) |
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274 | def slope(x, y): |
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275 | return 10*x |
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276 | |
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277 | h = 0.1 |
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278 | def stage(x, y): |
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279 | return slope(x, y) + h |
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280 | |
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281 | domain.set_quantity('elevation', slope, location='centroids') |
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282 | domain.set_quantity('stage', stage, location='centroids') |
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283 | |
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284 | |
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285 | |
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286 | E = domain.quantities['elevation'] |
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287 | L = domain.quantities['stage'] |
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288 | Z = domain.quantities['elevation'] |
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289 | |
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290 | E_V = E.vertex_values |
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291 | L_V = L.vertex_values |
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292 | |
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293 | E_E = E.edge_values |
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294 | L_E = L.edge_values |
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295 | E_C = E.centroid_values |
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296 | L_C = L.centroid_values |
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297 | |
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298 | |
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299 | domain.set_default_order(1) |
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300 | domain.distribute_to_vertices_and_edges() |
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301 | |
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302 | assert num.allclose(L_V,[[ 10.1, 10.1, 10.1 ], |
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303 | [ 3.43333333, 3.43333333, 3.43333333], |
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304 | [ 16.76666667, 16.76666667, 16.76666667], |
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305 | [ 10.1, 10.1, 10.1 ]]) |
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306 | |
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307 | assert num.allclose(E_V,[[ 10., 10., 10., ], |
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308 | [ 3.33333333, 3.33333333, 3.33333333], |
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309 | [ 16.66666667, 16.66666667, 16.66666667], |
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310 | [ 10., 10., 10. ]]) |
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311 | |
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312 | domain.set_default_order(2) |
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313 | |
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314 | # Setup the elevation to be pw linear (actually linear) |
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315 | Z.extrapolate_second_order_and_limit_by_edge() |
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316 | |
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317 | |
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318 | domain.distribute_to_vertices_and_edges() |
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319 | |
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320 | |
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321 | |
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322 | assert num.allclose(L_V,[[ 0.1, 20.1, 10.1], |
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323 | [ 0.1, 10.1, 0.1], |
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324 | [ 10.1, 20.1, 20.1], |
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325 | [ 0.1, 10.1, 20.1]]) or \ |
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326 | num.allclose(L_V,[[ 0.1, 20.1, 10.1, ], |
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327 | [ 3.43333333, 3.43333333, 3.43333333], |
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328 | [ 16.76666667, 16.76666667, 16.76666667], |
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329 | [ 0.1, 10.1, 20.1 ]]) |
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330 | |
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331 | |
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332 | assert num.allclose(E_V,[[ 0., 20., 10.], |
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333 | [ 0., 10., 0.], |
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334 | [ 10., 20., 20.], |
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335 | [ 0., 10., 20.]]) or \ |
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336 | num.allclose(E_V,[[ 0., 20., 10., ], |
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337 | [ 3.33333333, 3.33333333, 3.33333333], |
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338 | [ 16.66666667, 16.66666667, 16.66666667], |
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339 | [ 0., 10., 20. ]]) |
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340 | |
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341 | |
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342 | |
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343 | |
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344 | |
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345 | def test_second_order_distribute_real_data(self): |
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346 | #Using test data generated by abstract_2d_finite_volumes-2 |
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347 | #Assuming no friction and flat bed (0.0) |
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348 | |
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349 | a = [0.0, 0.0] |
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350 | b = [0.0, 1.0/5] |
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351 | c = [0.0, 2.0/5] |
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352 | d = [1.0/5, 0.0] |
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353 | e = [1.0/5, 1.0/5] |
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354 | f = [1.0/5, 2.0/5] |
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355 | g = [2.0/5, 2.0/5] |
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356 | |
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357 | points = [a, b, c, d, e, f, g] |
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358 | # bae, efb, cbf, feg |
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359 | vertices = [[1,0,4], [4,5,1], [2,1,5], [5,4,6]] |
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360 | |
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361 | domain = Domain(points, vertices) |
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362 | |
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363 | def slope(x, y): |
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364 | return -x/3 |
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365 | |
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366 | domain.set_quantity('elevation', slope) |
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367 | domain.set_quantity('stage', |
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368 | [0.01298164, 0.00365611, |
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369 | 0.01440365, -0.0381856437096], |
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370 | location='centroids') |
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371 | domain.set_quantity('xmomentum', |
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372 | [0.00670439, 0.01263789, |
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373 | 0.00647805, 0.0178180740668], |
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374 | location='centroids') |
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375 | domain.set_quantity('ymomentum', |
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376 | [-7.23510980e-004, -6.30413883e-005, |
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377 | 6.30413883e-005, 0.000200907255866], |
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378 | location='centroids') |
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379 | |
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380 | E = domain.quantities['elevation'].vertex_values |
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381 | L = domain.quantities['stage'].vertex_values |
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382 | X = domain.quantities['xmomentum'].vertex_values |
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383 | Y = domain.quantities['ymomentum'].vertex_values |
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384 | |
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385 | domain.set_default_order(2) |
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386 | |
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387 | domain.distribute_to_vertices_and_edges() |
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388 | |
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389 | |
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390 | assert num.allclose(L[1,:], |
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391 | [-0.01434766, -0.01292565, 0.03824164], atol=1.0e-2) |
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392 | |
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393 | assert num.allclose(X[1,:], |
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394 | [ 0.01702702, 0.01676034, 0.0057706 ], atol=1.0e-2) |
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395 | |
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396 | assert num.allclose(Y[1,:], |
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397 | [-0.00041792, 0.00076771, -0.00039118], atol=1.0e-4) |
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398 | |
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399 | |
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400 | |
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401 | ################################################################################# |
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402 | |
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403 | if __name__ == "__main__": |
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404 | suite = unittest.makeSuite(Test_swb_distribute, 'test') |
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405 | runner = unittest.TextTestRunner(verbosity=1) |
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406 | runner.run(suite) |
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