1 | """Example of shallow water wave equation. |
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2 | |
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3 | This is called Netherlands because it shows a dam with a gap in it and |
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4 | stylised housed behind it and below the water surface. |
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5 | |
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6 | """ |
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7 | |
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8 | ###################### |
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9 | # Module imports |
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10 | # |
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11 | #import rpdb |
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12 | #rpdb.set_active() |
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13 | |
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14 | from shallow_water import Domain, Reflective_boundary, Dirichlet_boundary,\ |
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15 | Transmissive_boundary, Constant_height, Constant_stage |
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16 | |
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17 | from mesh_factory import rectangular_cross |
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18 | from Numeric import array |
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19 | from vtk_realtime_visualiser import Visualiser |
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20 | |
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21 | class Weir: |
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22 | """Set a bathymetry for simple weir with a hole. |
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23 | x,y are assumed to be in the unit square |
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24 | """ |
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25 | |
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26 | def __init__(self, stage): |
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27 | self.inflow_stage = stage |
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28 | |
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29 | def __call__(self, x, y): |
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30 | from Numeric import zeros, Float |
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31 | |
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32 | N = len(x) |
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33 | assert N == len(y) |
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34 | |
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35 | z = zeros(N, Float) |
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36 | for i in range(N): |
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37 | z[i] = -x[i]/20 #General slope |
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38 | |
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39 | #Flattish bit to the left |
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40 | if x[i] <= 0.3: |
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41 | #z[i] = -x[i]/5 |
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42 | z[i] = -x[i]/20 |
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43 | |
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44 | |
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45 | #Weir |
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46 | if x[i] > 0.3 and x[i] < 0.4: |
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47 | z[i] = -x[i]/20+1.2 |
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48 | |
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49 | #Dip |
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50 | #if x[i] > 0.6 and x[i] < 0.9: |
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51 | # z[i] = -x[i]/20-0.5 #-y[i]/5 |
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52 | |
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53 | #Hole in weir |
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54 | #if x[i] > 0.3 and x[i] < 0.4 and y[i] > 0.2 and y[i] < 0.4: |
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55 | if x[i] > 0.3 and x[i] < 0.4 and y[i] > 0.4 and y[i] < 0.6: |
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56 | #z[i] = -x[i]/5 |
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57 | z[i] = -x[i]/20 |
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58 | |
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59 | #Poles |
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60 | #if x[i] > 0.65 and x[i] < 0.8 and y[i] > 0.55 and y[i] < 0.65 or\ |
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61 | # x[i] > 0.75 and x[i] < 0.9 and y[i] > 0.35 and y[i] < 0.45: |
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62 | # z[i] = -x[i]/20+0.4 |
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63 | |
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64 | if (x[i] - 0.72)**2 + (y[i] - 0.6)**2 < 0.05**2:# or\ |
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65 | #x[i] > 0.75 and x[i] < 0.9 and y[i] > 0.35 and y[i] < 0.45: |
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66 | z[i] = -x[i]/20+0.4 |
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67 | |
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68 | |
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69 | #Wall |
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70 | if x[i] > 0.995: |
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71 | z[i] = -x[i]/20+0.3 |
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72 | |
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73 | return z/2 |
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74 | |
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75 | |
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76 | |
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77 | ###################### |
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78 | # Domain |
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79 | # |
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80 | |
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81 | |
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82 | N = 150 #size = 45000 |
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83 | N = 130 #size = 33800 |
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84 | N = 600 #Size = 720000 |
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85 | N = 50 |
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86 | |
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87 | |
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88 | #N = 15 |
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89 | |
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90 | print 'Creating domain' |
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91 | #Create basic mesh |
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92 | points, elements, boundary = rectangular_cross(N, N) |
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93 | |
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94 | #Create shallow water domain |
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95 | domain = Domain(points, elements, boundary, use_inscribed_circle=True) |
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96 | |
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97 | domain.check_integrity() |
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98 | domain.default_order = 2 |
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99 | #domain.beta_h=0 |
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100 | |
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101 | #Output params |
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102 | domain.smooth = False |
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103 | domain.reduction = min #Looks a lot better on top of steep slopes |
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104 | |
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105 | print "Number of triangles = ", len(domain) |
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106 | print "Extent = ", domain.get_extent() |
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107 | |
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108 | #Set bed-slope and friction |
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109 | inflow_stage = 0.5 |
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110 | manning = 0.03 |
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111 | Z = Weir(inflow_stage) |
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112 | |
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113 | if N > 150: |
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114 | domain.visualise = False |
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115 | domain.checkpoint = False |
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116 | domain.store = True #Store for visualisation purposes |
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117 | domain.format = 'sww' #Native netcdf visualisation format |
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118 | import sys, os |
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119 | #FIXME: This was os.path.splitext but caused weird filenames based on root |
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120 | base = os.path.basename(sys.argv[0]) |
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121 | domain.filename, _ = os.path.splitext(base) |
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122 | else: |
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123 | #domain.initialise_visualiser(rect=[0.0,0.0,1.0,1.0]) |
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124 | #domain.initialise_visualiser() |
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125 | #domain.visualiser.coloring['stage'] = False |
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126 | domain.visualise_timer = True |
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127 | domain.checkpoint = False |
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128 | domain.store = False |
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129 | vis = Visualiser(domain,title="netherlands") |
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130 | vis.setup['elevation'] = True |
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131 | vis.updating['stage'] = True |
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132 | vis.qcolor['stage'] = (0.0,0.0,0.8) |
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133 | vis.coloring['stage']= True |
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134 | |
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135 | |
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136 | |
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137 | print 'Field values' |
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138 | domain.set_quantity('elevation', Z) |
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139 | domain.set_quantity('friction', manning) |
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140 | |
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141 | |
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142 | ###################### |
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143 | # Boundary conditions |
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144 | # |
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145 | print 'Boundaries' |
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146 | Br = Reflective_boundary(domain) |
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147 | Bt = Transmissive_boundary(domain) |
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148 | |
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149 | #Constant inflow |
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150 | Bd = Dirichlet_boundary([inflow_stage, 0.0, 0.0]) |
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151 | |
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152 | |
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153 | #Set boundary conditions |
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154 | domain.set_boundary({'left': Bd, 'right': Br, 'bottom': Br, 'top': Br}) |
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155 | |
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156 | |
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157 | ###################### |
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158 | #Initial condition |
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159 | # |
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160 | print 'Initial condition' |
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161 | domain.set_quantity('stage', Constant_height(Z, 0.0)) |
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162 | #domain.set_quantity('stage', Constant_stage(inflow_stage/2.0)) |
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163 | |
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164 | #Evolve |
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165 | import time |
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166 | t0 = time.time() |
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167 | |
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168 | |
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169 | #from realtime_visualisation_new import Visualiser |
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170 | #V = Visualiser(domain,title='netherlands') |
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171 | #V.update_quantity('stage') |
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172 | #V.update_quantity('elevation') |
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173 | |
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174 | |
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175 | |
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176 | |
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177 | for t in domain.evolve(yieldstep = 0.005, finaltime = None): |
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178 | domain.write_time() |
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179 | #domain.write_boundary() |
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180 | vis.update() |
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181 | print domain.quantities['stage'].get_values(location='centroids', |
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182 | indices=[0]) |
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183 | #domain.visualiser.update_quantity('elevation') |
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184 | #time.sleep(0.1) |
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185 | #raw_input('pause>') |
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186 | #V.update_quantity('stage') |
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187 | #rpdb.set_active() |
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188 | #domain.visualiser.scale_z = 1.0 |
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189 | #domain.visualiser.update_quantity_color('xmomentum',scale_z = 4.0) |
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190 | #integral_label.text='Integral=%10.5e'%domain.quantities['stage'].get_integral() |
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191 | |
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192 | |
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193 | print 'That took %.2f seconds' %(time.time()-t0) |
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194 | vis.shutdown() |
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