1 | """Simple water flow example using ANUGA |
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2 | |
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3 | Water driven up a linear slope and time varying boundary, |
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4 | similar to a beach environment. |
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5 | |
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6 | For the case (H=0.5m, tan beta=1:50, and still water depth 20m), |
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7 | the analytical solution for runup height (R) should be 3.97997m. |
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8 | |
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9 | """ |
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10 | |
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11 | |
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12 | #------------------------------------------------------------------------------ |
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13 | # Import necessary modules |
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14 | #------------------------------------------------------------------------------ |
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15 | |
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16 | import sys |
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17 | |
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18 | from anuga.pmesh.mesh_interface import create_mesh_from_regions |
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19 | from abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
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20 | from anuga.config import g |
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21 | from anuga.shallow_water import Domain |
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22 | from anuga.shallow_water import Reflective_boundary |
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23 | from anuga.shallow_water import Dirichlet_boundary |
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24 | from anuga.shallow_water import Time_boundary |
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25 | from anuga.shallow_water import Transmissive_Momentum_Set_Stage_boundary |
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26 | from abstract_2d_finite_volumes.util import file_function |
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27 | #from pylab import plot, xlabel, ylabel, title, ion, close, savefig,\ |
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28 | # figure, axis, legend, grid, hold |
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29 | |
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30 | |
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31 | |
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32 | |
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33 | #------------------------------------------------------------------------------ |
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34 | # Model constants |
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35 | |
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36 | max_area = 5.0 # Maximal triangle area in runup zone (interior_polygon) |
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37 | # This is the variable that we use to measure convergence. |
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38 | # Range in [1.0/8; 8.0] |
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39 | |
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40 | |
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41 | |
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42 | |
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43 | slope = -0.02 # 1:50 Slope, reaches h=20m 1000m from western bndry, |
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44 | # and h=0 (coast) at 300m |
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45 | highest_point = 6 # Highest elevation (m) |
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46 | sea_level = 0 # Mean sea level |
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47 | min_elevation = -20 # Lowest elevation (elevation of offshore flat part) |
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48 | offshore_depth = sea_level-min_elevation # offshore water depth |
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49 | |
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50 | amplitude = 0.5 # Solitary wave height H |
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51 | normalized_amplitude = amplitude/offshore_depth |
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52 | |
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53 | coastline_x = -highest_point/slope |
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54 | |
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55 | # Basin dimensions (m) |
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56 | west = 0 # left boundary |
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57 | east = 1500 # right boundary |
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58 | south = 0 # lower boundary |
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59 | north = 100 # upper boundary |
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60 | |
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61 | |
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62 | #------------------------------------------------------------------------------ |
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63 | # Setup computational domain all units in meters |
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64 | #------------------------------------------------------------------------------ |
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65 | |
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66 | length = east-west |
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67 | width = north-south |
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68 | |
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69 | # Unstructured mesh |
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70 | polygon = [[east,north],[west,north],[west,south],[east,south]] |
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71 | interior_polygon = [[400,north],[west+10,north], |
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72 | [west+10,south],[400,south]] |
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73 | |
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74 | simulation_name = 'runup_convergence' + str(max_area) |
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75 | meshname = simulation_name + '.msh' |
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76 | create_mesh_from_regions(polygon, |
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77 | boundary_tags={'top': [0], 'left': [1], |
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78 | 'bottom': [2], 'right': [3]}, |
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79 | maximum_triangle_area=max_area, |
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80 | filename=meshname)#, |
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81 | #interior_regions=[[interior_polygon, max_area]]) |
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82 | |
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83 | |
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84 | |
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85 | domain = Domain(meshname, use_cache=True, verbose = True) |
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86 | #domain.set_minimum_storable_height(0.01) |
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87 | #domain.set_minimum_allowed_height(0.01) |
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88 | domain.set_name(simulation_name) |
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89 | |
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90 | |
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91 | #------------------------------------------------------------------------------ |
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92 | # Setup initial conditions |
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93 | #------------------------------------------------------------------------------ |
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94 | |
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95 | #def topography(x,y): |
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96 | # return slope*x+highest_point # Return linear bed slope (vector) |
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97 | |
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98 | def topography(x,y): |
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99 | """Two part topography - slope and flat part |
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100 | """ |
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101 | |
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102 | from Numeric import zeros, Float |
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103 | |
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104 | z = zeros(len(x), Float) # Allocate space for return vector |
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105 | for i in range(len(x)): |
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106 | |
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107 | z[i] = slope*x[i]+highest_point # Linear bed slope bathymetry |
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108 | |
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109 | if z[i] < min_elevation: # Limit depth |
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110 | z[i] = min_elevation |
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111 | |
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112 | return z |
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113 | |
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114 | |
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115 | |
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116 | |
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117 | domain.set_quantity('elevation', topography) # Use function for elevation |
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118 | domain.set_quantity('friction', 0.0 ) # Constant friction |
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119 | domain.set_quantity('stage', sea_level) # Constant initial stage |
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120 | |
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121 | |
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122 | #------------------------------------------------------------------------------ |
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123 | # Setup boundary conditions |
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124 | #------------------------------------------------------------------------------ |
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125 | |
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126 | from math import sin, pi, cosh, sqrt |
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127 | Br = Reflective_boundary(domain) # Solid reflective wall |
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128 | Bd = Dirichlet_boundary([0.,0.,0.]) # Constant boundary values |
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129 | |
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130 | |
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131 | def waveform(t): |
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132 | return sea_level +\ |
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133 | amplitude/cosh(((t-50)/offshore_depth)*(0.75*g*amplitude)**0.5)**2 |
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134 | |
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135 | # Time dependent boundary for stage, where momentum is set automatically |
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136 | Bts = Transmissive_Momentum_Set_Stage_boundary(domain, waveform) |
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137 | |
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138 | # Associate boundary tags with boundary objects |
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139 | domain.set_boundary({'left': Br, 'right': Bts, 'top': Br, 'bottom': Br}) |
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140 | |
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141 | |
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142 | # Find initial runup location and height (coastline) |
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143 | w0 = domain.get_maximum_inundation_elevation() |
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144 | x0, y0 = domain.get_maximum_inundation_location() |
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145 | print |
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146 | print 'Coastline elevation = %.2f at (x,y)=(%.2f, %.2f)' %(w0, x0, y0) |
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147 | |
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148 | # Sanity check |
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149 | w_i = domain.get_quantity('stage').get_values(interpolation_points=[[x0,y0]]) |
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150 | print 'Interpolated elevation at (x,y)=(%.2f, %.2f) is %.2f' %(x0, y0, w_i) |
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151 | |
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152 | |
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153 | #------------------------------------------------------------------------------ |
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154 | # Evolve system through time |
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155 | #------------------------------------------------------------------------------ |
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156 | |
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157 | w_max = w0 |
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158 | for t in domain.evolve(yieldstep = 1, finaltime = 300): |
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159 | domain.write_time() |
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160 | |
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161 | w = domain.get_maximum_inundation_elevation() |
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162 | x, y = domain.get_maximum_inundation_location() |
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163 | print ' Coastline elevation = %.2f at (x,y)=(%.2f, %.2f)' %(w, x, y) |
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164 | print |
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165 | |
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166 | if w > w_max: |
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167 | w_max = w |
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168 | x_max = x |
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169 | y_max = y |
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170 | |
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171 | |
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172 | y0 = y_max |
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173 | print '**********************************************' |
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174 | print 'Coastline elevation = %.2f at (x,y)=(%.2f, %.2f)' %(w0, x0, y0) |
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175 | print 'Max coastline elevation = %.2f at (%.2f, %.2f)' %(w_max, x_max, y_max) |
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176 | print 'Run up distance = %.2f' %sqrt( (x_max-x0)**2 + (y_max-y0)**2 ) |
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177 | print 'Max area in runup zone = %.2f' %max_area |
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178 | print '**********************************************' |
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179 | |
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180 | import sys; sys.exit() |
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181 | #----------------------------------------------------------------------------- |
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182 | # Interrogate further |
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183 | #--------------------------------------------------------------- |
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184 | |
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185 | # Generate time series of one "gauge" situated at right hand boundary |
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186 | from anuga.abstract_2d_finite_volumes.util import sww2timeseries |
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187 | production_dirs = {'.': 'test'} |
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188 | swwfiles = {} |
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189 | for label_id in production_dirs.keys(): |
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190 | |
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191 | swwfile = simulation_name + '.sww' |
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192 | swwfiles[swwfile] = label_id |
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193 | |
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194 | texname, elev_output = sww2timeseries(swwfiles, |
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195 | 'boundary_gauge.xya', |
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196 | production_dirs, |
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197 | report = False, |
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198 | reportname = 'test', |
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199 | plot_quantity = ['stage', 'speed'], |
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200 | surface = False, |
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201 | time_min = None, |
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202 | time_max = None, |
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203 | title_on = True, |
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204 | verbose = True) |
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205 | |
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206 | |
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207 | |
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208 | |
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