1 | import os |
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2 | import random |
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3 | from math import sqrt, pow, pi |
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4 | from channel_domain_Ab import * |
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5 | from Numeric import allclose, array, zeros, ones, Float, take, sqrt |
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6 | from config import g, epsilon |
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7 | |
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8 | |
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9 | print "Variable Width Only Test" |
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10 | |
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11 | # Define functions for initial quantities |
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12 | def initial_area(x): |
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13 | y = zeros(len(x),Float) |
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14 | for i in range(len(x)): |
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15 | y[i]=(10-randomarray[i]) |
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16 | |
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17 | |
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18 | return y |
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19 | |
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20 | def bed(x): |
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21 | |
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22 | y = zeros(len(x),Float) |
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23 | for i in range(len(x)): |
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24 | y[i]=randomarray[i] |
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25 | randomarray[i]=random.normalvariate(3,1) |
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26 | return y |
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27 | |
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28 | def stage(x): |
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29 | |
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30 | y = zeros(len(x),Float) |
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31 | for i in range(len(x)): |
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32 | y[i]=3+x[i]/2000 |
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33 | return y |
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34 | |
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35 | |
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36 | |
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37 | def width(x): |
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38 | return 1 |
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39 | |
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40 | import time |
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41 | |
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42 | # Set final time and yield time for simulation |
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43 | finaltime = 1 |
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44 | yieldstep = 0.1 |
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45 | |
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46 | # Length of channel (m) |
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47 | L = 1000.0 |
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48 | # Define the number of cells |
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49 | number_of_cells = [50] |
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50 | |
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51 | # Define cells for finite volume and their size |
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52 | N = int(number_of_cells[0]) |
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53 | print "Evaluating domain with %d cells" %N |
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54 | cell_len = L/N # Origin = 0.0 |
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55 | points = zeros(N+1,Float) |
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56 | |
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57 | # Define the centroid points |
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58 | for j in range(N+1): |
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59 | points[j] = j*cell_len |
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60 | |
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61 | # Create domain with centroid points as defined above |
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62 | domain = Domain(points) |
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63 | |
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64 | # Define random array for width |
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65 | |
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66 | randomarray=zeros(len(points),Float) |
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67 | for j in range(N+1): |
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68 | randomarray[j]=random.normalvariate(3,1) |
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69 | |
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70 | |
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71 | # Set initial values of quantities - default to zero |
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72 | domain.set_quantity('stage',stage) |
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73 | #domain.set_quantity('area', initial_area) |
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74 | domain.set_quantity('elevation',bed) |
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75 | domain.set_quantity('width',width) |
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76 | domain.setstageflag = True |
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77 | # Set boundry type, order, timestepping method and limiter |
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78 | domain.set_boundary({'exterior':Reflective_boundary(domain)}) |
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79 | domain.order = 2 |
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80 | domain.set_timestepping_method('rk2') |
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81 | domain.set_CFL(1.0) |
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82 | domain.set_limiter("vanleer") |
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83 | #domain.h0=0.0001 |
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84 | |
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85 | # Start timer |
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86 | t0 = time.time() |
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87 | i=1 |
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88 | |
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89 | print domain.quantities['elevation'].vertex_values |
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90 | |
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91 | for t in domain.evolve(yieldstep = yieldstep, finaltime = finaltime): |
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92 | domain.write_time() |
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93 | |
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94 | N = float(N) |
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95 | HeightC = domain.quantities['height'].centroid_values |
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96 | DischargeC = domain.quantities['discharge'].centroid_values |
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97 | C = domain.centroids |
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98 | print 'That took %.2f seconds' %(time.time()-t0) |
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99 | X = domain.vertices |
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100 | HeightQ = domain.quantities['height'].vertex_values |
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101 | VelocityQ = domain.quantities['velocity'].vertex_values |
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102 | x = X.flat |
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103 | z = domain.quantities['elevation'].vertex_values.flat |
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104 | stage=HeightQ.flat+z |
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105 | |
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106 | |
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107 | |
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108 | |
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109 | from pylab import plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot,savefig |
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110 | import pylab as p |
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111 | #hold(False) |
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112 | |
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113 | plot1=subplot(211) |
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114 | |
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115 | plot(x,stage,x,z) |
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116 | |
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117 | plot1.set_ylim([-1,11]) |
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118 | xlabel('Position') |
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119 | ylabel('Stage') |
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120 | legend(('Solution', 'Bed Height'), |
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121 | 'upper right', shadow=True) |
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122 | |
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123 | plot2=subplot(212) |
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124 | plot(x,VelocityQ.flat) |
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125 | plot2.set_ylim([-5,5]) |
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126 | xlabel('Position') |
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127 | ylabel('Velocity') |
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128 | |
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129 | savefig(str(i)+'.png') |
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130 | i+=1 |
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131 | plot1.clear() |
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132 | |
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133 | print domain.quantities['elevation'].vertex_values |
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134 | |
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135 | N = float(N) |
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136 | HeightC = domain.quantities['height'].centroid_values |
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137 | DischargeC = domain.quantities['discharge'].centroid_values |
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138 | C = domain.centroids |
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139 | print 'That took %.2f seconds' %(time.time()-t0) |
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140 | X = domain.vertices |
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141 | HeightQ = domain.quantities['height'].vertex_values |
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142 | VelocityQ = domain.quantities['velocity'].vertex_values |
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143 | x = X.flat |
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144 | z = domain.quantities['elevation'].vertex_values.flat |
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145 | stage=HeightQ.flat+z |
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146 | |
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147 | |
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148 | |
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149 | |
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150 | from pylab import plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot |
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151 | |
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152 | #hold(False) |
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153 | |
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154 | plot1=subplot(211) |
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155 | |
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156 | plot(x,stage,x,z) |
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157 | |
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158 | plot1.set_ylim([-1,11]) |
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159 | xlabel('Position') |
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160 | ylabel('Stage') |
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161 | legend(('Solution', 'Bed Height'), |
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162 | 'upper right', shadow=True) |
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163 | |
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164 | plot2=subplot(212) |
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165 | plot(x,VelocityQ.flat) |
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166 | plot2.set_ylim([-5,5]) |
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167 | xlabel('Position') |
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168 | ylabel('Velocity') |
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169 | |
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170 | show() |
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171 | |
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