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 | import anuga |
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8 | |
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9 | from anuga.config import g, epsilon |
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10 | from anuga.config import netcdf_mode_r, netcdf_mode_w, netcdf_mode_a |
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11 | from anuga.utilities.numerical_tools import mean |
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12 | from anuga.geometry.polygon import is_inside_polygon |
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13 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
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14 | from anuga.abstract_2d_finite_volumes.quantity import Quantity |
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15 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
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16 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
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17 | |
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18 | from anuga.utilities.system_tools import get_pathname_from_package |
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19 | from swb_domain import * |
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20 | |
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21 | import numpy as num |
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22 | |
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23 | # Get gateway to C implementation of flux function for direct testing |
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24 | from shallow_water_ext import flux_function_central as flux_function |
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25 | |
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26 | |
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27 | # Variable windfield implemented using functions |
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28 | def speed(t, x, y): |
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29 | """Large speeds halfway between center and edges |
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30 | |
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31 | Low speeds at center and edges |
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32 | """ |
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33 | |
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34 | from math import exp, cos, pi |
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35 | |
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36 | x = num.array(x) |
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37 | y = num.array(y) |
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38 | |
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39 | N = len(x) |
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40 | s = 0*x #New array |
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41 | |
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42 | for k in range(N): |
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43 | r = num.sqrt(x[k]**2 + y[k]**2) |
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44 | factor = exp(-(r-0.15)**2) |
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45 | s[k] = 4000 * factor * (cos(t*2*pi/150) + 2) |
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46 | |
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47 | return s |
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48 | |
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49 | def scalar_func(t, x, y): |
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50 | """Function that returns a scalar. |
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51 | |
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52 | Used to test error message when numeric array is expected |
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53 | """ |
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54 | |
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55 | return 17.7 |
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56 | |
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57 | def scalar_func_list(t, x, y): |
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58 | """Function that returns a scalar. |
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59 | |
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60 | Used to test error message when numeric array is expected |
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61 | """ |
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62 | |
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63 | return [17.7] |
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64 | |
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65 | |
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66 | def angle(t, x, y): |
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67 | """Rotating field |
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68 | """ |
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69 | from math import atan, pi |
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70 | |
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71 | x = num.array(x) |
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72 | y = num.array(y) |
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73 | |
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74 | N = len(x) |
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75 | a = 0 * x # New array |
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76 | |
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77 | for k in range(N): |
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78 | r = num.sqrt(x[k]**2 + y[k]**2) |
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79 | |
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80 | angle = atan(y[k]/x[k]) |
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81 | |
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82 | if x[k] < 0: |
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83 | angle += pi |
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84 | |
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85 | # Take normal direction |
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86 | angle -= pi/2 |
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87 | |
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88 | # Ensure positive radians |
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89 | if angle < 0: |
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90 | angle += 2*pi |
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91 | |
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92 | a[k] = angle/pi*180 |
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93 | |
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94 | return a |
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95 | |
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96 | |
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97 | ############################################################################### |
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98 | |
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99 | class Test_swb_forcing_terms(unittest.TestCase): |
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100 | def setUp(self): |
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101 | pass |
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102 | |
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103 | def tearDown(self): |
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104 | pass |
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105 | |
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106 | def test_gravity(self): |
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107 | #Assuming no friction |
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108 | |
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109 | from anuga.config import g |
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110 | |
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111 | a = [0.0, 0.0] |
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112 | b = [0.0, 2.0] |
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113 | c = [2.0, 0.0] |
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114 | d = [0.0, 4.0] |
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115 | e = [2.0, 2.0] |
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116 | f = [4.0, 0.0] |
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117 | |
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118 | points = [a, b, c, d, e, f] |
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119 | # bac, bce, ecf, dbe |
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120 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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121 | |
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122 | domain = Domain(points, vertices) |
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123 | |
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124 | #Set up for a gradient of (3,0) at mid triangle (bce) |
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125 | def slope(x, y): |
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126 | return 3*x |
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127 | |
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128 | h = 0.1 |
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129 | def stage(x, y): |
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130 | return slope(x, y) + h |
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131 | |
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132 | domain.set_quantity('elevation', slope) |
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133 | domain.set_quantity('stage', stage) |
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134 | |
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135 | for name in domain.conserved_quantities: |
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136 | assert num.allclose(domain.quantities[name].explicit_update, 0) |
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137 | assert num.allclose(domain.quantities[name].semi_implicit_update, 0) |
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138 | |
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139 | domain.compute_forcing_terms() |
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140 | |
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141 | assert num.allclose(domain.quantities['stage'].explicit_update, 0) |
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142 | assert num.allclose(domain.quantities['xmomentum'].explicit_update, |
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143 | -g*h*3) |
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144 | assert num.allclose(domain.quantities['ymomentum'].explicit_update, 0) |
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145 | |
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146 | def test_manning_friction(self): |
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147 | from anuga.config import g |
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148 | |
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149 | a = [0.0, 0.0] |
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150 | b = [0.0, 2.0] |
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151 | c = [2.0, 0.0] |
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152 | d = [0.0, 4.0] |
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153 | e = [2.0, 2.0] |
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154 | f = [4.0, 0.0] |
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155 | |
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156 | points = [a, b, c, d, e, f] |
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157 | # bac, bce, ecf, dbe |
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158 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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159 | |
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160 | domain = Domain(points, vertices) |
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161 | |
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162 | #Set up for a gradient of (3,0) at mid triangle (bce) |
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163 | def slope(x, y): |
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164 | return 3*x |
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165 | |
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166 | h = 0.1 |
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167 | def stage(x, y): |
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168 | return slope(x, y) + h |
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169 | |
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170 | eta = 0.07 |
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171 | domain.set_quantity('elevation', slope) |
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172 | domain.set_quantity('stage', stage) |
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173 | domain.set_quantity('friction', eta) |
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174 | |
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175 | for name in domain.conserved_quantities: |
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176 | assert num.allclose(domain.quantities[name].explicit_update, 0) |
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177 | assert num.allclose(domain.quantities[name].semi_implicit_update, 0) |
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178 | |
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179 | domain.compute_forcing_terms() |
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180 | |
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181 | assert num.allclose(domain.quantities['stage'].explicit_update, 0) |
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182 | assert num.allclose(domain.quantities['xmomentum'].explicit_update, |
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183 | -g*h*3) |
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184 | assert num.allclose(domain.quantities['ymomentum'].explicit_update, 0) |
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185 | |
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186 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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187 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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188 | 0) |
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189 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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190 | 0) |
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191 | |
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192 | #Create some momentum for friction to work with |
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193 | domain.set_quantity('xmomentum', 1) |
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194 | dz = sqrt(10.0) |
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195 | S = -g*eta**2 *dz / h**(7.0/3) |
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196 | |
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197 | domain.compute_forcing_terms() |
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198 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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199 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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200 | S) |
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201 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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202 | 0) |
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203 | |
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204 | #A more complex example |
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205 | domain.quantities['stage'].semi_implicit_update[:] = 0.0 |
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206 | domain.quantities['xmomentum'].semi_implicit_update[:] = 0.0 |
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207 | domain.quantities['ymomentum'].semi_implicit_update[:] = 0.0 |
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208 | |
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209 | domain.set_quantity('xmomentum', 3) |
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210 | domain.set_quantity('ymomentum', 4) |
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211 | |
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212 | S = -g*eta**2*5*dz / h**(7.0/3) |
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213 | |
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214 | domain.compute_forcing_terms() |
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215 | |
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216 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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217 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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218 | 3*S) |
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219 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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220 | 4*S) |
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221 | |
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222 | |
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223 | |
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224 | def test_manning_friction_old(self): |
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225 | from anuga.config import g |
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226 | |
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227 | a = [0.0, 0.0] |
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228 | b = [0.0, 2.0] |
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229 | c = [2.0, 0.0] |
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230 | d = [0.0, 4.0] |
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231 | e = [2.0, 2.0] |
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232 | f = [4.0, 0.0] |
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233 | |
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234 | points = [a, b, c, d, e, f] |
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235 | # bac, bce, ecf, dbe |
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236 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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237 | |
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238 | domain = Domain(points, vertices) |
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239 | |
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240 | #Turn old mannings function on |
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241 | domain.set_new_mannings_function(False) |
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242 | |
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243 | #Set up for a gradient of (3,0) at mid triangle (bce) |
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244 | def slope(x, y): |
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245 | return 3*x |
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246 | |
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247 | h = 0.1 |
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248 | def stage(x, y): |
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249 | return slope(x, y) + h |
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250 | |
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251 | eta = 0.07 |
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252 | domain.set_quantity('elevation', slope) |
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253 | domain.set_quantity('stage', stage) |
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254 | domain.set_quantity('friction', eta) |
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255 | |
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256 | for name in domain.conserved_quantities: |
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257 | assert num.allclose(domain.quantities[name].explicit_update, 0) |
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258 | assert num.allclose(domain.quantities[name].semi_implicit_update, 0) |
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259 | |
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260 | domain.compute_forcing_terms() |
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261 | |
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262 | assert num.allclose(domain.quantities['stage'].explicit_update, 0) |
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263 | assert num.allclose(domain.quantities['xmomentum'].explicit_update, |
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264 | -g*h*3) |
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265 | assert num.allclose(domain.quantities['ymomentum'].explicit_update, 0) |
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266 | |
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267 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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268 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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269 | 0) |
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270 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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271 | 0) |
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272 | |
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273 | #Create some momentum for friction to work with |
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274 | domain.set_quantity('xmomentum', 1) |
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275 | S = -g*eta**2 / h**(7.0/3) |
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276 | |
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277 | domain.compute_forcing_terms() |
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278 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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279 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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280 | S) |
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281 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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282 | 0) |
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283 | |
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284 | #A more complex example |
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285 | domain.quantities['stage'].semi_implicit_update[:] = 0.0 |
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286 | domain.quantities['xmomentum'].semi_implicit_update[:] = 0.0 |
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287 | domain.quantities['ymomentum'].semi_implicit_update[:] = 0.0 |
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288 | |
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289 | domain.set_quantity('xmomentum', 3) |
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290 | domain.set_quantity('ymomentum', 4) |
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291 | |
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292 | S = -g*eta**2*5 / h**(7.0/3) |
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293 | |
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294 | domain.compute_forcing_terms() |
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295 | |
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296 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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297 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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298 | 3*S) |
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299 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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300 | 4*S) |
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301 | |
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302 | |
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303 | def test_manning_friction_new(self): |
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304 | from anuga.config import g |
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305 | |
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306 | a = [0.0, 0.0] |
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307 | b = [0.0, 2.0] |
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308 | c = [2.0, 0.0] |
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309 | d = [0.0, 4.0] |
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310 | e = [2.0, 2.0] |
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311 | f = [4.0, 0.0] |
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312 | |
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313 | points = [a, b, c, d, e, f] |
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314 | # bac, bce, ecf, dbe |
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315 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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316 | |
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317 | domain = Domain(points, vertices) |
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318 | |
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319 | # Use the new function which takes into account the extra |
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320 | # wetted area due to slope of bed |
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321 | domain.set_new_mannings_function(True) |
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322 | |
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323 | #Set up for a gradient of (3,0) at mid triangle (bce) |
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324 | def slope(x, y): |
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325 | return 3*x |
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326 | |
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327 | h = 0.1 |
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328 | def stage(x, y): |
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329 | return slope(x, y) + h |
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330 | |
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331 | eta = 0.07 |
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332 | domain.set_quantity('elevation', slope) |
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333 | domain.set_quantity('stage', stage) |
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334 | domain.set_quantity('friction', eta) |
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335 | |
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336 | for name in domain.conserved_quantities: |
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337 | assert num.allclose(domain.quantities[name].explicit_update, 0) |
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338 | assert num.allclose(domain.quantities[name].semi_implicit_update, 0) |
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339 | |
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340 | domain.compute_forcing_terms() |
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341 | |
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342 | assert num.allclose(domain.quantities['stage'].explicit_update, 0) |
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343 | assert num.allclose(domain.quantities['xmomentum'].explicit_update, |
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344 | -g*h*3) |
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345 | assert num.allclose(domain.quantities['ymomentum'].explicit_update, 0) |
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346 | |
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347 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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348 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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349 | 0) |
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350 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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351 | 0) |
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352 | |
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353 | #Create some momentum for friction to work with |
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354 | domain.set_quantity('xmomentum', 1) |
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355 | S = -g*eta**2 / h**(7.0/3) * sqrt(10) |
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356 | |
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357 | domain.compute_forcing_terms() |
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358 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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359 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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360 | S) |
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361 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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362 | 0) |
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363 | |
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364 | #A more complex example |
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365 | domain.quantities['stage'].semi_implicit_update[:] = 0.0 |
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366 | domain.quantities['xmomentum'].semi_implicit_update[:] = 0.0 |
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367 | domain.quantities['ymomentum'].semi_implicit_update[:] = 0.0 |
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368 | |
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369 | domain.set_quantity('xmomentum', 3) |
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370 | domain.set_quantity('ymomentum', 4) |
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371 | |
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372 | S = -g*eta**2*5 / h**(7.0/3) * sqrt(10.0) |
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373 | |
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374 | domain.compute_forcing_terms() |
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375 | |
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376 | assert num.allclose(domain.quantities['stage'].semi_implicit_update, 0) |
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377 | assert num.allclose(domain.quantities['xmomentum'].semi_implicit_update, |
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378 | 3*S) |
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379 | assert num.allclose(domain.quantities['ymomentum'].semi_implicit_update, |
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380 | 4*S) |
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381 | |
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382 | def test_constant_wind_stress(self): |
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383 | from anuga.config import rho_a, rho_w, eta_w |
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384 | from math import pi, cos, sin |
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385 | |
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386 | a = [0.0, 0.0] |
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387 | b = [0.0, 2.0] |
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388 | c = [2.0, 0.0] |
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389 | d = [0.0, 4.0] |
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390 | e = [2.0, 2.0] |
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391 | f = [4.0, 0.0] |
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392 | |
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393 | points = [a, b, c, d, e, f] |
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394 | # bac, bce, ecf, dbe |
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395 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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396 | |
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397 | domain = anuga.Domain(points, vertices) |
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398 | |
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399 | #Flat surface with 1m of water |
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400 | domain.set_quantity('elevation', 0) |
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401 | domain.set_quantity('stage', 1.0) |
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402 | domain.set_quantity('friction', 0) |
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403 | |
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404 | Br = anuga.Reflective_boundary(domain) |
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405 | domain.set_boundary({'exterior': Br}) |
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406 | |
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407 | #Setup only one forcing term, constant wind stress |
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408 | s = 100 |
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409 | phi = 135 |
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410 | domain.forcing_terms = [] |
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411 | domain.forcing_terms.append(anuga.Wind_stress(s, phi)) |
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412 | |
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413 | domain.compute_forcing_terms() |
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414 | |
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415 | const = eta_w*rho_a / rho_w |
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416 | |
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417 | #Convert to radians |
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418 | phi = phi*pi / 180 |
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419 | |
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420 | #Compute velocity vector (u, v) |
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421 | u = s*cos(phi) |
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422 | v = s*sin(phi) |
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423 | |
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424 | #Compute wind stress |
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425 | S = const * num.sqrt(u**2 + v**2) |
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426 | |
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427 | assert num.allclose(domain.quantities['stage'].explicit_update, 0) |
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428 | assert num.allclose(domain.quantities['xmomentum'].explicit_update, S*u) |
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429 | assert num.allclose(domain.quantities['ymomentum'].explicit_update, S*v) |
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430 | |
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431 | def test_variable_wind_stress(self): |
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432 | from anuga.config import rho_a, rho_w, eta_w |
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433 | from math import pi, cos, sin |
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434 | |
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435 | a = [0.0, 0.0] |
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436 | b = [0.0, 2.0] |
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437 | c = [2.0, 0.0] |
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438 | d = [0.0, 4.0] |
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439 | e = [2.0, 2.0] |
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440 | f = [4.0, 0.0] |
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441 | |
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442 | points = [a, b, c, d, e, f] |
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443 | # bac, bce, ecf, dbe |
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444 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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445 | |
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446 | domain = Domain(points, vertices) |
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447 | |
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448 | #Flat surface with 1m of water |
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449 | domain.set_quantity('elevation', 0) |
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450 | domain.set_quantity('stage', 1.0) |
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451 | domain.set_quantity('friction', 0) |
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452 | |
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453 | Br = anuga.Reflective_boundary(domain) |
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454 | domain.set_boundary({'exterior': Br}) |
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455 | |
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456 | domain.time = 5.54 # Take a random time (not zero) |
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457 | |
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458 | #Setup only one forcing term, constant wind stress |
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459 | s = 100 |
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460 | phi = 135 |
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461 | domain.forcing_terms = [] |
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462 | domain.forcing_terms.append(anuga.Wind_stress(s=speed, phi=angle)) |
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463 | |
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464 | domain.compute_forcing_terms() |
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465 | |
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466 | #Compute reference solution |
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467 | const = eta_w*rho_a / rho_w |
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468 | |
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469 | N = len(domain) # number_of_triangles |
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470 | |
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471 | xc = domain.get_centroid_coordinates() |
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472 | t = domain.time |
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473 | |
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474 | x = xc[:,0] |
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475 | y = xc[:,1] |
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476 | s_vec = speed(t,x,y) |
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477 | phi_vec = angle(t,x,y) |
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478 | |
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479 | for k in range(N): |
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480 | # Convert to radians |
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481 | phi = phi_vec[k]*pi / 180 |
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482 | s = s_vec[k] |
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483 | |
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484 | # Compute velocity vector (u, v) |
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485 | u = s*cos(phi) |
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486 | v = s*sin(phi) |
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487 | |
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488 | # Compute wind stress |
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489 | S = const * num.sqrt(u**2 + v**2) |
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490 | |
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491 | assert num.allclose(domain.quantities['stage'].explicit_update[k], |
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492 | 0) |
---|
493 | assert num.allclose(domain.quantities['xmomentum'].\ |
---|
494 | explicit_update[k], |
---|
495 | S*u) |
---|
496 | assert num.allclose(domain.quantities['ymomentum'].\ |
---|
497 | explicit_update[k], |
---|
498 | S*v) |
---|
499 | |
---|
500 | def test_windfield_from_file(self): |
---|
501 | import time |
---|
502 | from anuga.config import rho_a, rho_w, eta_w |
---|
503 | from math import pi, cos, sin |
---|
504 | from anuga.config import time_format |
---|
505 | from anuga.abstract_2d_finite_volumes.util import file_function |
---|
506 | |
---|
507 | a = [0.0, 0.0] |
---|
508 | b = [0.0, 2.0] |
---|
509 | c = [2.0, 0.0] |
---|
510 | d = [0.0, 4.0] |
---|
511 | e = [2.0, 2.0] |
---|
512 | f = [4.0, 0.0] |
---|
513 | |
---|
514 | points = [a, b, c, d, e, f] |
---|
515 | # bac, bce, ecf, dbe |
---|
516 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
517 | |
---|
518 | domain = Domain(points, vertices) |
---|
519 | |
---|
520 | # Flat surface with 1m of water |
---|
521 | domain.set_quantity('elevation', 0) |
---|
522 | domain.set_quantity('stage', 1.0) |
---|
523 | domain.set_quantity('friction', 0) |
---|
524 | |
---|
525 | Br = anuga.Reflective_boundary(domain) |
---|
526 | domain.set_boundary({'exterior': Br}) |
---|
527 | |
---|
528 | domain.time = 7 # Take a time that is represented in file (not zero) |
---|
529 | |
---|
530 | # Write wind stress file (ensure that domain.time is covered) |
---|
531 | # Take x=1 and y=0 |
---|
532 | filename = 'test_windstress_from_file' |
---|
533 | start = time.mktime(time.strptime('2000', '%Y')) |
---|
534 | fid = open(filename + '.txt', 'w') |
---|
535 | dt = 1 # One second interval |
---|
536 | t = 0.0 |
---|
537 | while t <= 10.0: |
---|
538 | t_string = time.strftime(time_format, time.gmtime(t+start)) |
---|
539 | |
---|
540 | fid.write('%s, %f %f\n' % |
---|
541 | (t_string, speed(t,[1],[0])[0], angle(t,[1],[0])[0])) |
---|
542 | t += dt |
---|
543 | |
---|
544 | fid.close() |
---|
545 | |
---|
546 | anuga.timefile2netcdf(filename+'.txt', filename+'.tms') |
---|
547 | os.remove(filename + '.txt') |
---|
548 | |
---|
549 | # Setup wind stress |
---|
550 | F = file_function(filename + '.tms', |
---|
551 | quantities=['Attribute0', 'Attribute1']) |
---|
552 | os.remove(filename + '.tms') |
---|
553 | |
---|
554 | W = Wind_stress(F) |
---|
555 | |
---|
556 | domain.forcing_terms = [] |
---|
557 | domain.forcing_terms.append(W) |
---|
558 | |
---|
559 | domain.compute_forcing_terms() |
---|
560 | |
---|
561 | # Compute reference solution |
---|
562 | const = eta_w*rho_a / rho_w |
---|
563 | |
---|
564 | N = len(domain) # number_of_triangles |
---|
565 | |
---|
566 | t = domain.time |
---|
567 | |
---|
568 | s = speed(t, [1], [0])[0] |
---|
569 | phi = angle(t, [1], [0])[0] |
---|
570 | |
---|
571 | # Convert to radians |
---|
572 | phi = phi*pi / 180 |
---|
573 | |
---|
574 | # Compute velocity vector (u, v) |
---|
575 | u = s*cos(phi) |
---|
576 | v = s*sin(phi) |
---|
577 | |
---|
578 | # Compute wind stress |
---|
579 | S = const * num.sqrt(u**2 + v**2) |
---|
580 | |
---|
581 | for k in range(N): |
---|
582 | assert num.allclose(domain.quantities['stage'].explicit_update[k], |
---|
583 | 0) |
---|
584 | assert num.allclose(domain.quantities['xmomentum'].\ |
---|
585 | explicit_update[k], |
---|
586 | S*u) |
---|
587 | assert num.allclose(domain.quantities['ymomentum'].\ |
---|
588 | explicit_update[k], |
---|
589 | S*v) |
---|
590 | |
---|
591 | def test_windfield_from_file_seconds(self): |
---|
592 | import time |
---|
593 | from anuga.config import rho_a, rho_w, eta_w |
---|
594 | from math import pi, cos, sin |
---|
595 | from anuga.config import time_format |
---|
596 | from anuga.abstract_2d_finite_volumes.util import file_function |
---|
597 | |
---|
598 | a = [0.0, 0.0] |
---|
599 | b = [0.0, 2.0] |
---|
600 | c = [2.0, 0.0] |
---|
601 | d = [0.0, 4.0] |
---|
602 | e = [2.0, 2.0] |
---|
603 | f = [4.0, 0.0] |
---|
604 | |
---|
605 | points = [a, b, c, d, e, f] |
---|
606 | # bac, bce, ecf, dbe |
---|
607 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
608 | |
---|
609 | domain = Domain(points, vertices) |
---|
610 | |
---|
611 | # Flat surface with 1m of water |
---|
612 | domain.set_quantity('elevation', 0) |
---|
613 | domain.set_quantity('stage', 1.0) |
---|
614 | domain.set_quantity('friction', 0) |
---|
615 | |
---|
616 | Br = anuga.Reflective_boundary(domain) |
---|
617 | domain.set_boundary({'exterior': Br}) |
---|
618 | |
---|
619 | domain.time = 7 # Take a time that is represented in file (not zero) |
---|
620 | |
---|
621 | # Write wind stress file (ensure that domain.time is covered) |
---|
622 | # Take x=1 and y=0 |
---|
623 | filename = 'test_windstress_from_file.txt' |
---|
624 | file_out = 'test_windstress_from_file.tms' |
---|
625 | start = time.mktime(time.strptime('2000', '%Y')) |
---|
626 | fid = open(filename, 'w') |
---|
627 | dt = 0.5 # Half second interval |
---|
628 | t = 0.0 |
---|
629 | while t <= 10.0: |
---|
630 | fid.write('%s, %f %f\n' |
---|
631 | % (str(t), speed(t, [1], [0])[0], angle(t, [1], [0])[0])) |
---|
632 | t += dt |
---|
633 | |
---|
634 | fid.close() |
---|
635 | |
---|
636 | anuga.timefile2netcdf(filename, file_out, time_as_seconds=True) |
---|
637 | os.remove(filename) |
---|
638 | |
---|
639 | # Setup wind stress |
---|
640 | F = file_function(file_out, |
---|
641 | quantities=['Attribute0', 'Attribute1']) |
---|
642 | os.remove(file_out) |
---|
643 | |
---|
644 | W = anuga.Wind_stress(F) |
---|
645 | |
---|
646 | domain.forcing_terms = [] |
---|
647 | domain.forcing_terms.append(W) |
---|
648 | |
---|
649 | domain.compute_forcing_terms() |
---|
650 | |
---|
651 | # Compute reference solution |
---|
652 | const = eta_w*rho_a / rho_w |
---|
653 | |
---|
654 | N = len(domain) # number_of_triangles |
---|
655 | |
---|
656 | t = domain.time |
---|
657 | |
---|
658 | s = speed(t, [1], [0])[0] |
---|
659 | phi = angle(t, [1], [0])[0] |
---|
660 | |
---|
661 | # Convert to radians |
---|
662 | phi = phi*pi / 180 |
---|
663 | |
---|
664 | # Compute velocity vector (u, v) |
---|
665 | u = s*cos(phi) |
---|
666 | v = s*sin(phi) |
---|
667 | |
---|
668 | # Compute wind stress |
---|
669 | S = const * num.sqrt(u**2 + v**2) |
---|
670 | |
---|
671 | for k in range(N): |
---|
672 | assert num.allclose(domain.quantities['stage'].explicit_update[k], |
---|
673 | 0) |
---|
674 | assert num.allclose(domain.quantities['xmomentum'].\ |
---|
675 | explicit_update[k], |
---|
676 | S*u) |
---|
677 | assert num.allclose(domain.quantities['ymomentum'].\ |
---|
678 | explicit_update[k], |
---|
679 | S*v) |
---|
680 | |
---|
681 | def test_wind_stress_error_condition(self): |
---|
682 | """Test that windstress reacts properly when forcing functions |
---|
683 | are wrong - e.g. returns a scalar |
---|
684 | """ |
---|
685 | |
---|
686 | from math import pi, cos, sin |
---|
687 | from anuga.config import rho_a, rho_w, eta_w |
---|
688 | |
---|
689 | a = [0.0, 0.0] |
---|
690 | b = [0.0, 2.0] |
---|
691 | c = [2.0, 0.0] |
---|
692 | d = [0.0, 4.0] |
---|
693 | e = [2.0, 2.0] |
---|
694 | f = [4.0, 0.0] |
---|
695 | |
---|
696 | points = [a, b, c, d, e, f] |
---|
697 | # bac, bce, ecf, dbe |
---|
698 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
699 | |
---|
700 | domain = Domain(points, vertices) |
---|
701 | |
---|
702 | # Flat surface with 1m of water |
---|
703 | domain.set_quantity('elevation', 0) |
---|
704 | domain.set_quantity('stage', 1.0) |
---|
705 | domain.set_quantity('friction', 0) |
---|
706 | |
---|
707 | Br = anuga.Reflective_boundary(domain) |
---|
708 | domain.set_boundary({'exterior': Br}) |
---|
709 | |
---|
710 | domain.time = 5.54 # Take a random time (not zero) |
---|
711 | |
---|
712 | # Setup only one forcing term, bad func |
---|
713 | domain.forcing_terms = [] |
---|
714 | |
---|
715 | try: |
---|
716 | domain.forcing_terms.append(anuga.Wind_stress(s=scalar_func_list, |
---|
717 | phi=angle)) |
---|
718 | except AssertionError: |
---|
719 | pass |
---|
720 | else: |
---|
721 | msg = 'Should have raised exception' |
---|
722 | raise Exception, msg |
---|
723 | |
---|
724 | try: |
---|
725 | domain.forcing_terms.append(Wind_stress(s=speed, phi=scalar_func)) |
---|
726 | except Exception: |
---|
727 | pass |
---|
728 | else: |
---|
729 | msg = 'Should have raised exception' |
---|
730 | raise Exception, msg |
---|
731 | |
---|
732 | try: |
---|
733 | domain.forcing_terms.append(Wind_stress(s=speed, phi='xx')) |
---|
734 | except: |
---|
735 | pass |
---|
736 | else: |
---|
737 | msg = 'Should have raised exception' |
---|
738 | raise Exception, msg |
---|
739 | |
---|
740 | def test_rainfall(self): |
---|
741 | from math import pi, cos, sin |
---|
742 | |
---|
743 | a = [0.0, 0.0] |
---|
744 | b = [0.0, 2.0] |
---|
745 | c = [2.0, 0.0] |
---|
746 | d = [0.0, 4.0] |
---|
747 | e = [2.0, 2.0] |
---|
748 | f = [4.0, 0.0] |
---|
749 | |
---|
750 | points = [a, b, c, d, e, f] |
---|
751 | # bac, bce, ecf, dbe |
---|
752 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
753 | |
---|
754 | domain = Domain(points, vertices) |
---|
755 | |
---|
756 | # Flat surface with 1m of water |
---|
757 | domain.set_quantity('elevation', 0) |
---|
758 | domain.set_quantity('stage', 1.0) |
---|
759 | domain.set_quantity('friction', 0) |
---|
760 | |
---|
761 | Br = anuga.Reflective_boundary(domain) |
---|
762 | domain.set_boundary({'exterior': Br}) |
---|
763 | |
---|
764 | # Setup only one forcing term, constant rainfall |
---|
765 | domain.forcing_terms = [] |
---|
766 | domain.forcing_terms.append(anuga.Rainfall(domain, rate=2.0)) |
---|
767 | |
---|
768 | domain.compute_forcing_terms() |
---|
769 | assert num.allclose(domain.quantities['stage'].explicit_update, |
---|
770 | 2.0/1000) |
---|
771 | |
---|
772 | def test_rainfall_restricted_by_polygon(self): |
---|
773 | from math import pi, cos, sin |
---|
774 | |
---|
775 | a = [0.0, 0.0] |
---|
776 | b = [0.0, 2.0] |
---|
777 | c = [2.0, 0.0] |
---|
778 | d = [0.0, 4.0] |
---|
779 | e = [2.0, 2.0] |
---|
780 | f = [4.0, 0.0] |
---|
781 | |
---|
782 | points = [a, b, c, d, e, f] |
---|
783 | # bac, bce, ecf, dbe |
---|
784 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
785 | |
---|
786 | domain = Domain(points, vertices) |
---|
787 | |
---|
788 | # Flat surface with 1m of water |
---|
789 | domain.set_quantity('elevation', 0) |
---|
790 | domain.set_quantity('stage', 1.0) |
---|
791 | domain.set_quantity('friction', 0) |
---|
792 | |
---|
793 | Br = anuga.Reflective_boundary(domain) |
---|
794 | domain.set_boundary({'exterior': Br}) |
---|
795 | |
---|
796 | # Setup only one forcing term, constant rainfall |
---|
797 | # restricted to a polygon enclosing triangle #1 (bce) |
---|
798 | domain.forcing_terms = [] |
---|
799 | R = anuga.Rainfall(domain, rate=2.0, polygon=[[1,1], [2,1], [2,2], [1,2]]) |
---|
800 | |
---|
801 | assert num.allclose(R.exchange_area, 2) |
---|
802 | |
---|
803 | domain.forcing_terms.append(R) |
---|
804 | |
---|
805 | domain.compute_forcing_terms() |
---|
806 | |
---|
807 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
808 | 2.0/1000) |
---|
809 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 0) |
---|
810 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
811 | |
---|
812 | def test_time_dependent_rainfall_restricted_by_polygon(self): |
---|
813 | a = [0.0, 0.0] |
---|
814 | b = [0.0, 2.0] |
---|
815 | c = [2.0, 0.0] |
---|
816 | d = [0.0, 4.0] |
---|
817 | e = [2.0, 2.0] |
---|
818 | f = [4.0, 0.0] |
---|
819 | |
---|
820 | points = [a, b, c, d, e, f] |
---|
821 | # bac, bce, ecf, dbe |
---|
822 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
823 | |
---|
824 | domain = anuga.Domain(points, vertices) |
---|
825 | |
---|
826 | # Flat surface with 1m of water |
---|
827 | domain.set_quantity('elevation', 0) |
---|
828 | domain.set_quantity('stage', 1.0) |
---|
829 | domain.set_quantity('friction', 0) |
---|
830 | |
---|
831 | Br = anuga.Reflective_boundary(domain) |
---|
832 | domain.set_boundary({'exterior': Br}) |
---|
833 | |
---|
834 | # Setup only one forcing term, time dependent rainfall |
---|
835 | # restricted to a polygon enclosing triangle #1 (bce) |
---|
836 | domain.forcing_terms = [] |
---|
837 | R = anuga.Rainfall(domain, |
---|
838 | rate=lambda t: 3*t + 7, |
---|
839 | polygon = [[1,1], [2,1], [2,2], [1,2]]) |
---|
840 | |
---|
841 | assert num.allclose(R.exchange_area, 2) |
---|
842 | |
---|
843 | domain.forcing_terms.append(R) |
---|
844 | |
---|
845 | domain.time = 10. |
---|
846 | |
---|
847 | domain.compute_forcing_terms() |
---|
848 | |
---|
849 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
850 | (3*domain.time + 7)/1000) |
---|
851 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 0) |
---|
852 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
853 | |
---|
854 | def test_time_dependent_rainfall_using_starttime(self): |
---|
855 | rainfall_poly = ensure_numeric([[1,1], [2,1], [2,2], [1,2]], num.float) |
---|
856 | |
---|
857 | a = [0.0, 0.0] |
---|
858 | b = [0.0, 2.0] |
---|
859 | c = [2.0, 0.0] |
---|
860 | d = [0.0, 4.0] |
---|
861 | e = [2.0, 2.0] |
---|
862 | f = [4.0, 0.0] |
---|
863 | |
---|
864 | points = [a, b, c, d, e, f] |
---|
865 | # bac, bce, ecf, dbe |
---|
866 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
867 | |
---|
868 | domain = anuga.Domain(points, vertices) |
---|
869 | |
---|
870 | # Flat surface with 1m of water |
---|
871 | domain.set_quantity('elevation', 0) |
---|
872 | domain.set_quantity('stage', 1.0) |
---|
873 | domain.set_quantity('friction', 0) |
---|
874 | |
---|
875 | Br = anuga.Reflective_boundary(domain) |
---|
876 | domain.set_boundary({'exterior': Br}) |
---|
877 | |
---|
878 | # Setup only one forcing term, time dependent rainfall |
---|
879 | # restricted to a polygon enclosing triangle #1 (bce) |
---|
880 | domain.forcing_terms = [] |
---|
881 | R = anuga.Rainfall(domain, |
---|
882 | rate=lambda t: 3*t + 7, |
---|
883 | polygon=rainfall_poly) |
---|
884 | |
---|
885 | assert num.allclose(R.exchange_area, 2) |
---|
886 | |
---|
887 | domain.forcing_terms.append(R) |
---|
888 | |
---|
889 | # This will test that time used in the forcing function takes |
---|
890 | # startime into account. |
---|
891 | domain.starttime = 5.0 |
---|
892 | |
---|
893 | domain.time = 7. |
---|
894 | |
---|
895 | domain.compute_forcing_terms() |
---|
896 | |
---|
897 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
898 | (3*domain.get_time() + 7)/1000) |
---|
899 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
900 | (3*(domain.time + domain.starttime) + 7)/1000) |
---|
901 | |
---|
902 | # Using internal time her should fail |
---|
903 | assert not num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
904 | (3*domain.time + 7)/1000) |
---|
905 | |
---|
906 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 0) |
---|
907 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
908 | |
---|
909 | def test_time_dependent_rainfall_using_georef(self): |
---|
910 | """test_time_dependent_rainfall_using_georef |
---|
911 | |
---|
912 | This will also test the General forcing term using georef |
---|
913 | """ |
---|
914 | |
---|
915 | # Mesh in zone 56 (absolute coords) |
---|
916 | x0 = 314036.58727982 |
---|
917 | y0 = 6224951.2960092 |
---|
918 | |
---|
919 | rainfall_poly = ensure_numeric([[1,1], [2,1], [2,2], [1,2]], num.float) |
---|
920 | rainfall_poly += [x0, y0] |
---|
921 | |
---|
922 | a = [0.0, 0.0] |
---|
923 | b = [0.0, 2.0] |
---|
924 | c = [2.0, 0.0] |
---|
925 | d = [0.0, 4.0] |
---|
926 | e = [2.0, 2.0] |
---|
927 | f = [4.0, 0.0] |
---|
928 | |
---|
929 | points = [a, b, c, d, e, f] |
---|
930 | # bac, bce, ecf, dbe |
---|
931 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
932 | |
---|
933 | domain = Domain(points, vertices, |
---|
934 | geo_reference=Geo_reference(56, x0, y0)) |
---|
935 | |
---|
936 | # Flat surface with 1m of water |
---|
937 | domain.set_quantity('elevation', 0) |
---|
938 | domain.set_quantity('stage', 1.0) |
---|
939 | domain.set_quantity('friction', 0) |
---|
940 | |
---|
941 | Br = anuga.Reflective_boundary(domain) |
---|
942 | domain.set_boundary({'exterior': Br}) |
---|
943 | |
---|
944 | # Setup only one forcing term, time dependent rainfall |
---|
945 | # restricted to a polygon enclosing triangle #1 (bce) |
---|
946 | domain.forcing_terms = [] |
---|
947 | R = anuga.Rainfall(domain, |
---|
948 | rate=lambda t: 3*t + 7, |
---|
949 | polygon=rainfall_poly) |
---|
950 | |
---|
951 | assert num.allclose(R.exchange_area, 2) |
---|
952 | |
---|
953 | domain.forcing_terms.append(R) |
---|
954 | |
---|
955 | # This will test that time used in the forcing function takes |
---|
956 | # startime into account. |
---|
957 | domain.starttime = 5.0 |
---|
958 | |
---|
959 | domain.time = 7. |
---|
960 | |
---|
961 | domain.compute_forcing_terms() |
---|
962 | |
---|
963 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
964 | (3*domain.get_time() + 7)/1000) |
---|
965 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
966 | (3*(domain.time + domain.starttime) + 7)/1000) |
---|
967 | |
---|
968 | # Using internal time her should fail |
---|
969 | assert not num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
970 | (3*domain.time + 7)/1000) |
---|
971 | |
---|
972 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 0) |
---|
973 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
974 | |
---|
975 | def test_time_dependent_rainfall_restricted_by_polygon_with_default(self): |
---|
976 | """ |
---|
977 | Test that default rainfall can be used when given rate runs out of data. |
---|
978 | """ |
---|
979 | |
---|
980 | a = [0.0, 0.0] |
---|
981 | b = [0.0, 2.0] |
---|
982 | c = [2.0, 0.0] |
---|
983 | d = [0.0, 4.0] |
---|
984 | e = [2.0, 2.0] |
---|
985 | f = [4.0, 0.0] |
---|
986 | |
---|
987 | points = [a, b, c, d, e, f] |
---|
988 | # bac, bce, ecf, dbe |
---|
989 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
990 | |
---|
991 | domain = Domain(points, vertices) |
---|
992 | |
---|
993 | # Flat surface with 1m of water |
---|
994 | domain.set_quantity('elevation', 0) |
---|
995 | domain.set_quantity('stage', 1.0) |
---|
996 | domain.set_quantity('friction', 0) |
---|
997 | |
---|
998 | Br = anuga.Reflective_boundary(domain) |
---|
999 | domain.set_boundary({'exterior': Br}) |
---|
1000 | |
---|
1001 | # Setup only one forcing term, time dependent rainfall |
---|
1002 | # that expires at t==20 |
---|
1003 | from anuga.fit_interpolate.interpolate import Modeltime_too_late |
---|
1004 | |
---|
1005 | def main_rate(t): |
---|
1006 | if t > 20: |
---|
1007 | msg = 'Model time exceeded.' |
---|
1008 | raise Modeltime_too_late, msg |
---|
1009 | else: |
---|
1010 | return 3*t + 7 |
---|
1011 | |
---|
1012 | domain.forcing_terms = [] |
---|
1013 | R = anuga.Rainfall(domain, |
---|
1014 | rate=main_rate, |
---|
1015 | polygon = [[1,1], [2,1], [2,2], [1,2]], |
---|
1016 | default_rate=5.0) |
---|
1017 | |
---|
1018 | assert num.allclose(R.exchange_area, 2) |
---|
1019 | |
---|
1020 | domain.forcing_terms.append(R) |
---|
1021 | |
---|
1022 | domain.time = 10. |
---|
1023 | |
---|
1024 | domain.compute_forcing_terms() |
---|
1025 | |
---|
1026 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
1027 | (3*domain.time+7)/1000) |
---|
1028 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 0) |
---|
1029 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
1030 | |
---|
1031 | domain.time = 100. |
---|
1032 | domain.quantities['stage'].explicit_update[:] = 0.0 # Reset |
---|
1033 | domain.compute_forcing_terms() |
---|
1034 | |
---|
1035 | assert num.allclose(domain.quantities['stage'].explicit_update[1], |
---|
1036 | 5.0/1000) # Default value |
---|
1037 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 0) |
---|
1038 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
1039 | |
---|
1040 | def test_rainfall_forcing_with_evolve(self): |
---|
1041 | """test_rainfall_forcing_with_evolve |
---|
1042 | |
---|
1043 | Test how forcing terms are called within evolve |
---|
1044 | """ |
---|
1045 | |
---|
1046 | # FIXME(Ole): This test is just to experiment |
---|
1047 | |
---|
1048 | a = [0.0, 0.0] |
---|
1049 | b = [0.0, 2.0] |
---|
1050 | c = [2.0, 0.0] |
---|
1051 | d = [0.0, 4.0] |
---|
1052 | e = [2.0, 2.0] |
---|
1053 | f = [4.0, 0.0] |
---|
1054 | |
---|
1055 | points = [a, b, c, d, e, f] |
---|
1056 | # bac, bce, ecf, dbe |
---|
1057 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
1058 | |
---|
1059 | domain = Domain(points, vertices) |
---|
1060 | |
---|
1061 | # Flat surface with 1m of water |
---|
1062 | domain.set_quantity('elevation', 0) |
---|
1063 | domain.set_quantity('stage', 1.0) |
---|
1064 | domain.set_quantity('friction', 0) |
---|
1065 | |
---|
1066 | Br = anuga.Reflective_boundary(domain) |
---|
1067 | domain.set_boundary({'exterior': Br}) |
---|
1068 | |
---|
1069 | # Setup only one forcing term, time dependent rainfall |
---|
1070 | # that expires at t==20 |
---|
1071 | from anuga.fit_interpolate.interpolate import Modeltime_too_late |
---|
1072 | |
---|
1073 | def main_rate(t): |
---|
1074 | if t > 20: |
---|
1075 | msg = 'Model time exceeded.' |
---|
1076 | raise Modeltime_too_late, msg |
---|
1077 | else: |
---|
1078 | return 3*t + 7 |
---|
1079 | |
---|
1080 | domain.forcing_terms = [] |
---|
1081 | R = anuga.Rainfall(domain, |
---|
1082 | rate=main_rate, |
---|
1083 | polygon=[[1,1], [2,1], [2,2], [1,2]], |
---|
1084 | default_rate=5.0) |
---|
1085 | |
---|
1086 | assert num.allclose(R.exchange_area, 2) |
---|
1087 | |
---|
1088 | domain.forcing_terms.append(R) |
---|
1089 | |
---|
1090 | for t in domain.evolve(yieldstep=1, finaltime=25): |
---|
1091 | pass |
---|
1092 | #FIXME(Ole): A test here is hard because explicit_update also |
---|
1093 | # receives updates from the flux calculation. |
---|
1094 | |
---|
1095 | |
---|
1096 | |
---|
1097 | def test_inflow_using_circle(self): |
---|
1098 | from math import pi, cos, sin |
---|
1099 | |
---|
1100 | a = [0.0, 0.0] |
---|
1101 | b = [0.0, 2.0] |
---|
1102 | c = [2.0, 0.0] |
---|
1103 | d = [0.0, 4.0] |
---|
1104 | e = [2.0, 2.0] |
---|
1105 | f = [4.0, 0.0] |
---|
1106 | |
---|
1107 | points = [a, b, c, d, e, f] |
---|
1108 | # bac, bce, ecf, dbe |
---|
1109 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
1110 | |
---|
1111 | domain = Domain(points, vertices) |
---|
1112 | |
---|
1113 | # Flat surface with 1m of water |
---|
1114 | domain.set_quantity('elevation', 0) |
---|
1115 | domain.set_quantity('stage', 1.0) |
---|
1116 | domain.set_quantity('friction', 0) |
---|
1117 | |
---|
1118 | Br = anuga.Reflective_boundary(domain) |
---|
1119 | domain.set_boundary({'exterior': Br}) |
---|
1120 | |
---|
1121 | # Setup only one forcing term, constant inflow of 2 m^3/s |
---|
1122 | # on a circle affecting triangles #0 and #1 (bac and bce) |
---|
1123 | domain.forcing_terms = [] |
---|
1124 | |
---|
1125 | I = anuga.Inflow(domain, rate=2.0, center=(1,1), radius=1) |
---|
1126 | domain.forcing_terms.append(I) |
---|
1127 | domain.compute_forcing_terms() |
---|
1128 | |
---|
1129 | |
---|
1130 | A = I.exchange_area |
---|
1131 | assert num.allclose(A, 4) # Two triangles |
---|
1132 | |
---|
1133 | assert num.allclose(domain.quantities['stage'].explicit_update[1], 2.0/A) |
---|
1134 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 2.0/A) |
---|
1135 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
1136 | |
---|
1137 | |
---|
1138 | def test_inflow_using_circle_function(self): |
---|
1139 | from math import pi, cos, sin |
---|
1140 | |
---|
1141 | a = [0.0, 0.0] |
---|
1142 | b = [0.0, 2.0] |
---|
1143 | c = [2.0, 0.0] |
---|
1144 | d = [0.0, 4.0] |
---|
1145 | e = [2.0, 2.0] |
---|
1146 | f = [4.0, 0.0] |
---|
1147 | |
---|
1148 | points = [a, b, c, d, e, f] |
---|
1149 | # bac, bce, ecf, dbe |
---|
1150 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
1151 | |
---|
1152 | domain = anuga.Domain(points, vertices) |
---|
1153 | |
---|
1154 | # Flat surface with 1m of water |
---|
1155 | domain.set_quantity('elevation', 0) |
---|
1156 | domain.set_quantity('stage', 1.0) |
---|
1157 | domain.set_quantity('friction', 0) |
---|
1158 | |
---|
1159 | Br = anuga.Reflective_boundary(domain) |
---|
1160 | domain.set_boundary({'exterior': Br}) |
---|
1161 | |
---|
1162 | # Setup only one forcing term, time dependent inflow of 2 m^3/s |
---|
1163 | # on a circle affecting triangles #0 and #1 (bac and bce) |
---|
1164 | domain.forcing_terms = [] |
---|
1165 | I = Inflow(domain, rate=lambda t: 2., center=(1,1), radius=1) |
---|
1166 | domain.forcing_terms.append(I) |
---|
1167 | |
---|
1168 | domain.compute_forcing_terms() |
---|
1169 | |
---|
1170 | A = I.exchange_area |
---|
1171 | assert num.allclose(A, 4) # Two triangles |
---|
1172 | |
---|
1173 | assert num.allclose(domain.quantities['stage'].explicit_update[1], 2.0/A) |
---|
1174 | assert num.allclose(domain.quantities['stage'].explicit_update[0], 2.0/A) |
---|
1175 | assert num.allclose(domain.quantities['stage'].explicit_update[2:], 0) |
---|
1176 | |
---|
1177 | |
---|
1178 | |
---|
1179 | |
---|
1180 | def test_inflow_catch_too_few_triangles(self): |
---|
1181 | """ |
---|
1182 | Test that exception is thrown if no triangles are covered |
---|
1183 | by the inflow area |
---|
1184 | """ |
---|
1185 | |
---|
1186 | from math import pi, cos, sin |
---|
1187 | |
---|
1188 | a = [0.0, 0.0] |
---|
1189 | b = [0.0, 2.0] |
---|
1190 | c = [2.0, 0.0] |
---|
1191 | d = [0.0, 4.0] |
---|
1192 | e = [2.0, 2.0] |
---|
1193 | f = [4.0, 0.0] |
---|
1194 | |
---|
1195 | points = [a, b, c, d, e, f] |
---|
1196 | # bac, bce, ecf, dbe |
---|
1197 | vertices = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
---|
1198 | |
---|
1199 | domain = Domain(points, vertices) |
---|
1200 | |
---|
1201 | # Flat surface with 1m of water |
---|
1202 | domain.set_quantity('elevation', 0) |
---|
1203 | domain.set_quantity('stage', 1.0) |
---|
1204 | domain.set_quantity('friction', 0) |
---|
1205 | |
---|
1206 | Br = anuga.Reflective_boundary(domain) |
---|
1207 | domain.set_boundary({'exterior': Br}) |
---|
1208 | |
---|
1209 | # Setup only one forcing term, constant inflow of 2 m^3/s |
---|
1210 | # on a circle affecting triangles #0 and #1 (bac and bce) |
---|
1211 | try: |
---|
1212 | Inflow(domain, rate=2.0, center=(1,1.1), radius=0.01) |
---|
1213 | except: |
---|
1214 | pass |
---|
1215 | else: |
---|
1216 | msg = 'Should have raised exception' |
---|
1217 | raise Exception, msg |
---|
1218 | |
---|
1219 | def Xtest_inflow_outflow_conservation(self): |
---|
1220 | """ |
---|
1221 | Test what happens if water is abstracted from one area and |
---|
1222 | injected into another - especially if there is not enough |
---|
1223 | water to match the abstraction. |
---|
1224 | This tests that the total volume is kept constant under a range of |
---|
1225 | scenarios. |
---|
1226 | |
---|
1227 | This test will fail as the problem was only fixed for culverts. |
---|
1228 | """ |
---|
1229 | |
---|
1230 | from math import pi, cos, sin |
---|
1231 | |
---|
1232 | length = 20. |
---|
1233 | width = 10. |
---|
1234 | |
---|
1235 | dx = dy = 2 # 1 or 2 OK |
---|
1236 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
1237 | int(width/dy), |
---|
1238 | len1=length, |
---|
1239 | len2=width) |
---|
1240 | domain = Domain(points, vertices, boundary) |
---|
1241 | domain.set_name('test_inflow_conservation') # Output name |
---|
1242 | domain.set_default_order(2) |
---|
1243 | |
---|
1244 | # Flat surface with 1m of water |
---|
1245 | stage = 1.0 |
---|
1246 | domain.set_quantity('elevation', 0) |
---|
1247 | domain.set_quantity('stage', stage) |
---|
1248 | domain.set_quantity('friction', 0) |
---|
1249 | |
---|
1250 | Br = Reflective_boundary(domain) |
---|
1251 | domain.set_boundary({'left': Br, 'right': Br, 'bottom': Br, 'top': Br}) |
---|
1252 | |
---|
1253 | # Setup one forcing term, constant inflow of 2 m^3/s on a circle |
---|
1254 | domain.forcing_terms = [] |
---|
1255 | domain.forcing_terms.append(Inflow(domain, rate=2.0, |
---|
1256 | center=(5,5), radius=1)) |
---|
1257 | |
---|
1258 | domain.compute_forcing_terms() |
---|
1259 | |
---|
1260 | # Check that update values are correct |
---|
1261 | for x in domain.quantities['stage'].explicit_update: |
---|
1262 | assert num.allclose(x, 2.0/pi) or num.allclose(x, 0.0) |
---|
1263 | |
---|
1264 | # Check volumes without inflow |
---|
1265 | domain.forcing_terms = [] |
---|
1266 | initial_volume = domain.quantities['stage'].get_integral() |
---|
1267 | |
---|
1268 | assert num.allclose(initial_volume, width*length*stage) |
---|
1269 | |
---|
1270 | for t in domain.evolve(yieldstep = 0.05, finaltime = 5.0): |
---|
1271 | volume = domain.quantities['stage'].get_integral() |
---|
1272 | assert num.allclose(volume, initial_volume) |
---|
1273 | |
---|
1274 | # Now apply the inflow and check volumes for a range of stage values |
---|
1275 | for stage in [2.0, 1.0, 0.5, 0.25, 0.1, 0.0]: |
---|
1276 | domain.time = 0.0 |
---|
1277 | domain.set_quantity('stage', stage) |
---|
1278 | domain.forcing_terms = [] |
---|
1279 | domain.forcing_terms.append(Inflow(domain, rate=2.0, |
---|
1280 | center=(5,5), radius=1)) |
---|
1281 | initial_volume = domain.quantities['stage'].get_integral() |
---|
1282 | predicted_volume = initial_volume |
---|
1283 | dt = 0.05 |
---|
1284 | for t in domain.evolve(yieldstep=dt, finaltime=5.0): |
---|
1285 | volume = domain.quantities['stage'].get_integral() |
---|
1286 | assert num.allclose (volume, predicted_volume) |
---|
1287 | predicted_volume = predicted_volume + 2.0/pi/100/dt # Why 100? |
---|
1288 | |
---|
1289 | # Apply equivalent outflow only and check volumes |
---|
1290 | # for a range of stage values |
---|
1291 | for stage in [2.0, 1.0, 0.5, 0.25, 0.1, 0.0]: |
---|
1292 | print stage |
---|
1293 | |
---|
1294 | domain.time = 0.0 |
---|
1295 | domain.set_quantity('stage', stage) |
---|
1296 | domain.forcing_terms = [] |
---|
1297 | domain.forcing_terms.append(Inflow(domain, rate=-2.0, |
---|
1298 | center=(15,5), radius=1)) |
---|
1299 | initial_volume = domain.quantities['stage'].get_integral() |
---|
1300 | predicted_volume = initial_volume |
---|
1301 | dt = 0.05 |
---|
1302 | for t in domain.evolve(yieldstep=dt, finaltime=5.0): |
---|
1303 | volume = domain.quantities['stage'].get_integral() |
---|
1304 | print t, volume, predicted_volume |
---|
1305 | assert num.allclose (volume, predicted_volume) |
---|
1306 | predicted_volume = predicted_volume - 2.0/pi/100/dt # Why 100? |
---|
1307 | |
---|
1308 | # Apply both inflow and outflow and check volumes being constant for a |
---|
1309 | # range of stage values |
---|
1310 | for stage in [2.0, 1.0, 0.5, 0.25, 0.1, 0.0]: |
---|
1311 | print stage |
---|
1312 | |
---|
1313 | domain.time = 0.0 |
---|
1314 | domain.set_quantity('stage', stage) |
---|
1315 | domain.forcing_terms = [] |
---|
1316 | domain.forcing_terms.append(Inflow(domain, rate=2.0, |
---|
1317 | center=(5,5), radius=1)) |
---|
1318 | domain.forcing_terms.append(Inflow(domain, rate=-2.0, |
---|
1319 | center=(15,5), radius=1)) |
---|
1320 | initial_volume = domain.quantities['stage'].get_integral() |
---|
1321 | |
---|
1322 | dt = 0.05 |
---|
1323 | for t in domain.evolve(yieldstep=dt, finaltime=5.0): |
---|
1324 | volume = domain.quantities['stage'].get_integral() |
---|
1325 | |
---|
1326 | print t, volume |
---|
1327 | assert num.allclose(volume, initial_volume) |
---|
1328 | |
---|
1329 | ##################################################### |
---|
1330 | |
---|
1331 | |
---|
1332 | def test_inflow_using_flowline(self): |
---|
1333 | """test_inflow_using_flowline |
---|
1334 | |
---|
1335 | Test the ability of a flowline to match inflow above the flowline by |
---|
1336 | creating constant inflow onto a circle at the head of a 20m |
---|
1337 | wide by 300m long plane dipping at various slopes with a |
---|
1338 | perpendicular flowline and gauge downstream of the inflow and |
---|
1339 | a 45 degree flowlines at 200m downstream. |
---|
1340 | |
---|
1341 | A more substantial version of this test with finer resolution and |
---|
1342 | including the depth calculation using Manning's equation is |
---|
1343 | available under the validate_all suite in the directory |
---|
1344 | anuga_validation/automated_validation_tests/flow_tests. |
---|
1345 | """ |
---|
1346 | |
---|
1347 | |
---|
1348 | verbose = False |
---|
1349 | |
---|
1350 | #---------------------------------------------------------------------- |
---|
1351 | # Setup computational domain |
---|
1352 | #---------------------------------------------------------------------- |
---|
1353 | number_of_inflows = 2 # Number of inflows on top of each other |
---|
1354 | finaltime = 500 #700.0 # If this is too short, steady state will not be achieved |
---|
1355 | |
---|
1356 | length = 250. |
---|
1357 | width = 20. |
---|
1358 | dx = dy = 5 # Resolution: of grid on both axes |
---|
1359 | |
---|
1360 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
1361 | int(width/dy), |
---|
1362 | len1=length, |
---|
1363 | len2=width) |
---|
1364 | |
---|
1365 | for mannings_n in [0.1, 0.01]: |
---|
1366 | # Loop over a range of roughnesses |
---|
1367 | |
---|
1368 | for slope in [1.0/300, 1.0/100]: |
---|
1369 | # Loop over a range of bedslopes representing |
---|
1370 | # sub to super critical flows |
---|
1371 | |
---|
1372 | |
---|
1373 | domain = Domain(points, vertices, boundary) |
---|
1374 | domain.set_name('inflow_flowline_test') # Output name |
---|
1375 | |
---|
1376 | #-------------------------------------------------------------- |
---|
1377 | # Setup initial conditions |
---|
1378 | #-------------------------------------------------------------- |
---|
1379 | |
---|
1380 | def topography(x, y): |
---|
1381 | z = -x * slope |
---|
1382 | return z |
---|
1383 | |
---|
1384 | # Use function for elevation |
---|
1385 | domain.set_quantity('elevation', topography) |
---|
1386 | # Constant friction of conc surface |
---|
1387 | domain.set_quantity('friction', mannings_n) |
---|
1388 | # Dry initial condition |
---|
1389 | domain.set_quantity('stage', expression='elevation') |
---|
1390 | |
---|
1391 | #-------------------------------------------------------------- |
---|
1392 | # Setup Inflow |
---|
1393 | #-------------------------------------------------------------- |
---|
1394 | |
---|
1395 | # Fixed Flowrate onto Area |
---|
1396 | fixed_inflow = anuga.Inflow(domain, |
---|
1397 | center=(10.0, 10.0), |
---|
1398 | radius=5.00, |
---|
1399 | rate=10.00) |
---|
1400 | |
---|
1401 | # Stack this flow |
---|
1402 | for i in range(number_of_inflows): |
---|
1403 | domain.forcing_terms.append(fixed_inflow) |
---|
1404 | |
---|
1405 | ref_flow = fixed_inflow.rate*number_of_inflowsg |
---|
1406 | |
---|
1407 | # Compute normal depth on plane using Mannings equation |
---|
1408 | # v=1/n*(r^2/3)*(s^0.5) or r=(Q*n/(s^0.5*W))^0.6 |
---|
1409 | normal_depth=(ref_flow*mannings_n/(slope**0.5*width))**0.6 |
---|
1410 | if verbose: |
---|
1411 | print |
---|
1412 | print 'Slope:', slope, 'Mannings n:', mannings_n |
---|
1413 | |
---|
1414 | |
---|
1415 | #-------------------------------------------------------------- |
---|
1416 | # Setup boundary conditions |
---|
1417 | #-------------------------------------------------------------- |
---|
1418 | |
---|
1419 | Br = Reflective_boundary(domain) |
---|
1420 | |
---|
1421 | # Define downstream boundary based on predicted depth |
---|
1422 | def normal_depth_stage_downstream(t): |
---|
1423 | return (-slope*length) + normal_depth |
---|
1424 | |
---|
1425 | Bt = Transmissive_momentum_set_stage_boundary(domain=domain, |
---|
1426 | function=normal_depth_stage_downstream) |
---|
1427 | |
---|
1428 | |
---|
1429 | |
---|
1430 | |
---|
1431 | domain.set_boundary({'left': Br, |
---|
1432 | 'right': Bt, |
---|
1433 | 'top': Br, |
---|
1434 | 'bottom': Br}) |
---|
1435 | |
---|
1436 | |
---|
1437 | |
---|
1438 | #-------------------------------------------------------------- |
---|
1439 | # Evolve system through time |
---|
1440 | #-------------------------------------------------------------- |
---|
1441 | |
---|
1442 | for t in domain.evolve(yieldstep=100.0, finaltime=finaltime): |
---|
1443 | pass |
---|
1444 | #if verbose : |
---|
1445 | # print domain.timestepping_statistics() |
---|
1446 | |
---|
1447 | # print domain.volumetric_balance_statistics() |
---|
1448 | |
---|
1449 | |
---|
1450 | #-------------------------------------------------------------- |
---|
1451 | # Compute flow thru flowlines ds of inflow |
---|
1452 | #-------------------------------------------------------------- |
---|
1453 | |
---|
1454 | # Square on flowline at 200m |
---|
1455 | q = domain.get_flow_through_cross_section([[200.0, 0.0], |
---|
1456 | [200.0, 20.0]]) |
---|
1457 | if verbose: |
---|
1458 | print ('90 degree flowline: ANUGA = %f, Ref = %f' |
---|
1459 | % (q, ref_flow)) |
---|
1460 | |
---|
1461 | msg = ('Predicted flow was %f, should have been %f' |
---|
1462 | % (q, ref_flow)) |
---|
1463 | assert num.allclose(q, ref_flow, rtol=1.0e-2), msg |
---|
1464 | |
---|
1465 | |
---|
1466 | # 45 degree flowline at 200m |
---|
1467 | q = domain.get_flow_through_cross_section([[200.0, 0.0], |
---|
1468 | [220.0, 20.0]]) |
---|
1469 | if verbose: |
---|
1470 | print ('45 degree flowline: ANUGA = %f, Ref = %f' |
---|
1471 | % (q, ref_flow)) |
---|
1472 | |
---|
1473 | msg = ('Predicted flow was %f, should have been %f' |
---|
1474 | % (q, ref_flow)) |
---|
1475 | assert num.allclose(q, ref_flow, rtol=1.0e-2), msg |
---|
1476 | |
---|
1477 | os.remove('inflow_flowline_test.sww') |
---|
1478 | |
---|
1479 | |
---|
1480 | def Xtest_inflow_boundary_using_flowline(self): |
---|
1481 | """test_inflow_boundary_using_flowline |
---|
1482 | Test the ability of a flowline to match inflow above the flowline by |
---|
1483 | creating constant inflow into the boundary at the head of a 20m |
---|
1484 | wide by 300m long plane dipping at various slopes with a |
---|
1485 | perpendicular flowline and gauge downstream of the inflow and |
---|
1486 | a 45 degree flowlines at 200m downstream |
---|
1487 | |
---|
1488 | |
---|
1489 | """ |
---|
1490 | |
---|
1491 | # FIXME (Ole): Work in progress |
---|
1492 | |
---|
1493 | verbose = False |
---|
1494 | |
---|
1495 | |
---|
1496 | #---------------------------------------------------------------------- |
---|
1497 | # Import necessary modules |
---|
1498 | #---------------------------------------------------------------------- |
---|
1499 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
---|
1500 | from anuga.shallow_water import Domain |
---|
1501 | from anuga.shallow_water.shallow_water_domain import Reflective_boundary |
---|
1502 | from anuga.shallow_water.shallow_water_domain import Dirichlet_boundary |
---|
1503 | from anuga.shallow_water.forcing import Inflow_boundary |
---|
1504 | from anuga.shallow_water.data_manager import get_flow_through_cross_section |
---|
1505 | from anuga.abstract_2d_finite_volumes.util import sww2csv_gauges, csv2timeseries_graphs |
---|
1506 | |
---|
1507 | |
---|
1508 | #---------------------------------------------------------------------- |
---|
1509 | # Setup computational domain |
---|
1510 | #---------------------------------------------------------------------- |
---|
1511 | |
---|
1512 | finaltime = 500 #700.0 # If this is too short, steady state will not be achieved |
---|
1513 | |
---|
1514 | length = 250. |
---|
1515 | width = 20. |
---|
1516 | dx = dy = 5 # Resolution: of grid on both axes |
---|
1517 | |
---|
1518 | points, vertices, boundary = rectangular_cross(int(length/dx), int(width/dy), |
---|
1519 | len1=length, len2=width) |
---|
1520 | |
---|
1521 | for mannings_n in [0.1, 0.01]: |
---|
1522 | # Loop over a range of roughnesses |
---|
1523 | |
---|
1524 | for slope in [1.0/300, 1.0/100]: |
---|
1525 | # Loop over a range of bedslopes representing sub to super critical flows |
---|
1526 | |
---|
1527 | |
---|
1528 | domain = Domain(points, vertices, boundary) |
---|
1529 | domain.set_name('inflow_boundary_flowline_test') |
---|
1530 | |
---|
1531 | |
---|
1532 | #------------------------------------------------------------- |
---|
1533 | # Setup initial conditions |
---|
1534 | #------------------------------------------------------------- |
---|
1535 | |
---|
1536 | def topography(x, y): |
---|
1537 | z=-x * slope |
---|
1538 | return z |
---|
1539 | |
---|
1540 | domain.set_quantity('elevation', topography) |
---|
1541 | domain.set_quantity('friction', mannings_n) |
---|
1542 | domain.set_quantity('stage', |
---|
1543 | expression='elevation') |
---|
1544 | |
---|
1545 | |
---|
1546 | |
---|
1547 | #-------------------------------------------------------------- |
---|
1548 | # Setup boundary conditions |
---|
1549 | #-------------------------------------------------------------- |
---|
1550 | |
---|
1551 | |
---|
1552 | |
---|
1553 | ref_flow = 10.00 |
---|
1554 | |
---|
1555 | # Compute normal depth on plane using Mannings equation |
---|
1556 | # v=1/n*(r^2/3)*(s^0.5) or r=(Q*n/(s^0.5*W))^0.6 |
---|
1557 | normal_depth=(ref_flow*mannings_n/(slope**0.5*width))**0.6 |
---|
1558 | if verbose: |
---|
1559 | print |
---|
1560 | print 'Slope:', slope, 'Mannings n:', mannings_n |
---|
1561 | |
---|
1562 | |
---|
1563 | |
---|
1564 | Bi = Inflow_boundary(domain, rate=ref_flow) |
---|
1565 | |
---|
1566 | Br = Reflective_boundary(domain) |
---|
1567 | |
---|
1568 | # Define downstream boundary based on predicted depth |
---|
1569 | def normal_depth_stage_downstream(t): |
---|
1570 | return (-slope*length) + normal_depth |
---|
1571 | |
---|
1572 | Bt = Transmissive_momentum_set_stage_boundary(domain=domain, |
---|
1573 | function=normal_depth_stage_downstream) |
---|
1574 | |
---|
1575 | |
---|
1576 | |
---|
1577 | |
---|
1578 | domain.set_boundary({'left': Bi, |
---|
1579 | 'right': Bt, |
---|
1580 | 'top': Br, |
---|
1581 | 'bottom': Br}) |
---|
1582 | |
---|
1583 | |
---|
1584 | |
---|
1585 | #-------------------------------------------------------------- |
---|
1586 | # Evolve system through time |
---|
1587 | #-------------------------------------------------------------- |
---|
1588 | |
---|
1589 | |
---|
1590 | for t in domain.evolve(yieldstep=100.0, finaltime=finaltime): |
---|
1591 | pass |
---|
1592 | #if verbose : |
---|
1593 | # print domain.timestepping_statistics() |
---|
1594 | # print domain.volumetric_balance_statistics() |
---|
1595 | |
---|
1596 | |
---|
1597 | |
---|
1598 | #-------------------------------------------------------------- |
---|
1599 | # Compute flow thru flowlines ds of inflow |
---|
1600 | #-------------------------------------------------------------- |
---|
1601 | |
---|
1602 | # Square on flowline at 200m |
---|
1603 | q=domain.get_flow_through_cross_section([[200.0,0.0],[200.0,20.0]]) |
---|
1604 | msg = 'Predicted flow was %f, should have been %f' % (q, ref_flow) |
---|
1605 | if verbose: |
---|
1606 | print '90 degree flowline: ANUGA = %f, Ref = %f' % (q, ref_flow) |
---|
1607 | assert num.allclose(q, ref_flow, rtol=1.0e-2), msg |
---|
1608 | |
---|
1609 | |
---|
1610 | # 45 degree flowline at 200m |
---|
1611 | q=domain.get_flow_through_cross_section([[200.0,0.0],[220.0,20.0]]) |
---|
1612 | msg = 'Predicted flow was %f, should have been %f' % (q, ref_flow) |
---|
1613 | if verbose: |
---|
1614 | print '45 degree flowline: ANUGA = %f, Ref = %f' % (q, ref_flow) |
---|
1615 | |
---|
1616 | assert num.allclose(q, ref_flow, rtol=1.0e-2), msg |
---|
1617 | |
---|
1618 | |
---|
1619 | |
---|
1620 | def Xtest_friction_dependent_flow_using_flowline(self): |
---|
1621 | """test_friction_dependent_flow_using_flowline |
---|
1622 | |
---|
1623 | Test the internal flow (using flowline) as a function of |
---|
1624 | different values of Mannings n and different slopes. |
---|
1625 | |
---|
1626 | Flow is applied in the form of boundary conditions with fixed momentum. |
---|
1627 | """ |
---|
1628 | |
---|
1629 | verbose = True |
---|
1630 | |
---|
1631 | #---------------------------------------------------------------------- |
---|
1632 | # Import necessary modules |
---|
1633 | #---------------------------------------------------------------------- |
---|
1634 | |
---|
1635 | from anuga.abstract_2d_finite_volumes.mesh_factory \ |
---|
1636 | import rectangular_cross |
---|
1637 | from anuga.shallow_water import Domain |
---|
1638 | from anuga.shallow_water.shallow_water_domain import Reflective_boundary |
---|
1639 | from anuga.shallow_water.shallow_water_domain import Dirichlet_boundary |
---|
1640 | from anuga.shallow_water.forcing import Inflow |
---|
1641 | from anuga.shallow_water.data_manager \ |
---|
1642 | import get_flow_through_cross_section |
---|
1643 | from anuga.abstract_2d_finite_volumes.util \ |
---|
1644 | import sww2csv_gauges, csv2timeseries_graphs |
---|
1645 | |
---|
1646 | |
---|
1647 | #---------------------------------------------------------------------- |
---|
1648 | # Setup computational domain |
---|
1649 | #---------------------------------------------------------------------- |
---|
1650 | |
---|
1651 | finaltime = 1000.0 |
---|
1652 | |
---|
1653 | length = 300. |
---|
1654 | width = 20. |
---|
1655 | dx = dy = 5 # Resolution: of grid on both axes |
---|
1656 | |
---|
1657 | # Input parameters |
---|
1658 | uh = 1.0 |
---|
1659 | vh = 0.0 |
---|
1660 | d = 1.0 |
---|
1661 | |
---|
1662 | ref_flow = uh*d*width # 20 m^3/s in the x direction across entire domain |
---|
1663 | |
---|
1664 | points, vertices, boundary = rectangular_cross(int(length/dx), |
---|
1665 | int(width/dy), |
---|
1666 | len1=length, |
---|
1667 | len2=width) |
---|
1668 | |
---|
1669 | for mannings_n in [0.035]: #[0.0, 0.012, 0.035]: |
---|
1670 | for slope in [1.0/300]: #[0.0, 1.0/300, 1.0/150]: |
---|
1671 | # Loop over a range of bedslopes representing |
---|
1672 | # sub to super critical flows |
---|
1673 | if verbose: |
---|
1674 | print |
---|
1675 | print 'Slope:', slope, 'Mannings n:', mannings_n |
---|
1676 | domain = Domain(points, vertices, boundary) |
---|
1677 | domain.set_name('Inflow_flowline_test') # Output name |
---|
1678 | |
---|
1679 | #-------------------------------------------------------------- |
---|
1680 | # Setup initial conditions |
---|
1681 | #-------------------------------------------------------------- |
---|
1682 | |
---|
1683 | def topography(x, y): |
---|
1684 | z = -x * slope |
---|
1685 | return z |
---|
1686 | |
---|
1687 | # Use function for elevation |
---|
1688 | domain.set_quantity('elevation', topography) |
---|
1689 | # Constant friction |
---|
1690 | domain.set_quantity('friction', mannings_n) |
---|
1691 | |
---|
1692 | #domain.set_quantity('stage', expression='elevation') |
---|
1693 | |
---|
1694 | # Set initial flow as depth=1m, uh=1.0 m/s, vh = 0.0 |
---|
1695 | # making it 20 m^3/s across entire domain |
---|
1696 | domain.set_quantity('stage', expression='elevation + %f' % d) |
---|
1697 | domain.set_quantity('xmomentum', uh) |
---|
1698 | domain.set_quantity('ymomentum', vh) |
---|
1699 | |
---|
1700 | #-------------------------------------------------------------- |
---|
1701 | # Setup boundary conditions |
---|
1702 | #-------------------------------------------------------------- |
---|
1703 | |
---|
1704 | Br = Reflective_boundary(domain) # Solid reflective wall |
---|
1705 | |
---|
1706 | # Constant flow in and out of domain |
---|
1707 | # Depth = 1m, uh=1 m/s, i.e. a flow of 20 m^3/s |
---|
1708 | # across boundaries |
---|
1709 | Bi = Dirichlet_boundary([d, uh, vh]) |
---|
1710 | Bo = Dirichlet_boundary([-length*slope+d, uh, vh]) |
---|
1711 | #Bo = Dirichlet_boundary([-100, 0, 0]) |
---|
1712 | |
---|
1713 | domain.set_boundary({'left': Bi, 'right': Bo, |
---|
1714 | 'top': Br, 'bottom': Br}) |
---|
1715 | |
---|
1716 | #-------------------------------------------------------------- |
---|
1717 | # Evolve system through time |
---|
1718 | #-------------------------------------------------------------- |
---|
1719 | |
---|
1720 | for t in domain.evolve(yieldstep=100.0, finaltime=finaltime): |
---|
1721 | if verbose : |
---|
1722 | print domain.timestepping_statistics() |
---|
1723 | print domain.volumetric_balance_statistics() |
---|
1724 | |
---|
1725 | # 90 degree flowline at 200m |
---|
1726 | q = domain.get_flow_through_cross_section([[200.0, 0.0], |
---|
1727 | [200.0, 20.0]]) |
---|
1728 | msg = ('Predicted flow was %f, should have been %f' |
---|
1729 | % (q, ref_flow)) |
---|
1730 | if verbose: |
---|
1731 | print ('90 degree flowline: ANUGA = %f, Ref = %f' |
---|
1732 | % (q, ref_flow)) |
---|
1733 | |
---|
1734 | # 45 degree flowline at 200m |
---|
1735 | q = domain.get_flow_through_cross_section([[200.0, 0.0], |
---|
1736 | [220.0, 20.0]]) |
---|
1737 | msg = ('Predicted flow was %f, should have been %f' |
---|
1738 | % (q, ref_flow)) |
---|
1739 | if verbose: |
---|
1740 | print ('45 degree flowline: ANUGA = %f, Ref = %f' |
---|
1741 | % (q, ref_flow)) |
---|
1742 | |
---|
1743 | # Stage recorder (gauge) in middle of plane at 200m |
---|
1744 | x = 200.0 |
---|
1745 | y = 10.00 |
---|
1746 | w = domain.get_quantity('stage').\ |
---|
1747 | get_values(interpolation_points=[[x, y]])[0] |
---|
1748 | z = domain.get_quantity('elevation').\ |
---|
1749 | get_values(interpolation_points=[[x, y]])[0] |
---|
1750 | domain_depth = w-z |
---|
1751 | |
---|
1752 | xmom = domain.get_quantity('xmomentum').\ |
---|
1753 | get_values(interpolation_points=[[x, y]])[0] |
---|
1754 | ymom = domain.get_quantity('ymomentum').\ |
---|
1755 | get_values(interpolation_points=[[x, y]])[0] |
---|
1756 | if verbose: |
---|
1757 | print ('At interpolation point (h, uh, vh): ', |
---|
1758 | domain_depth, xmom, ymom) |
---|
1759 | print 'uh * d * width = ', xmom*domain_depth*width |
---|
1760 | |
---|
1761 | if slope > 0.0: |
---|
1762 | # Compute normal depth at gauge location using Manning eqn |
---|
1763 | # v=1/n*(r^2/3)*(s^0.5) or r=(Q*n/(s^0.5*W))^0.6 |
---|
1764 | normal_depth = (ref_flow*mannings_n/(slope**0.5*width))**0.6 |
---|
1765 | if verbose: |
---|
1766 | print ('Depth: ANUGA = %f, Mannings = %f' |
---|
1767 | % (domain_depth, normal_depth)) |
---|
1768 | |
---|
1769 | os.remove('Inflow_flowline_test.sww') |
---|
1770 | |
---|
1771 | |
---|
1772 | ################################################################################# |
---|
1773 | |
---|
1774 | if __name__ == "__main__": |
---|
1775 | suite = unittest.makeSuite(Test_swb_forcing_terms, 'test') |
---|
1776 | runner = unittest.TextTestRunner(verbosity=1) |
---|
1777 | runner.run(suite) |
---|