1 | """boundary.py - Classes for implementing boundary conditions |
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2 | """ |
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3 | |
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4 | from warnings import warn |
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5 | |
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6 | from anuga.utilities.numerical_tools import NAN |
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7 | from anuga.fit_interpolate.interpolate import Modeltime_too_late |
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8 | from anuga.fit_interpolate.interpolate import Modeltime_too_early |
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9 | |
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10 | |
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11 | class Boundary: |
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12 | """Base class for boundary conditions. |
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13 | Specific boundary conditions must provide values for |
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14 | the conserved_quantities |
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15 | |
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16 | A boundary object has one neighbour; the one it |
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17 | serves. |
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18 | """ |
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19 | |
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20 | def __init__(self): |
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21 | pass |
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22 | |
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23 | def evaluate(self, vol_id=None, edge_id=None): |
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24 | msg = 'Generic class Boundary must be subclassed' |
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25 | raise Exception, msg |
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26 | |
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27 | |
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28 | class Transmissive_boundary(Boundary): |
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29 | """Transmissive boundary returns same conserved quantities as |
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30 | those present in its neighbour volume. |
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31 | |
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32 | Underlying domain must be specified when boundary is instantiated |
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33 | """ |
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34 | |
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35 | def __init__(self, domain = None): |
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36 | Boundary.__init__(self) |
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37 | |
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38 | if domain is None: |
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39 | msg = 'Domain must be specified for transmissive boundary' |
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40 | raise Exception, msg |
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41 | |
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42 | self.domain = domain |
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43 | |
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44 | def __repr__(self): |
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45 | return 'Transmissive_boundary(%s)' %self.domain |
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46 | |
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47 | def evaluate(self, vol_id, edge_id): |
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48 | """Transmissive boundaries return the edge values |
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49 | of the volume they serve. |
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50 | """ |
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51 | |
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52 | q = self.domain.get_conserved_quantities(vol_id, edge = edge_id) |
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53 | return q |
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54 | |
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55 | |
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56 | class Dirichlet_boundary(Boundary): |
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57 | """Dirichlet boundary returns constant values for the |
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58 | conserved quantities |
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59 | """ |
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60 | |
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61 | |
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62 | def __init__(self, conserved_quantities=None): |
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63 | Boundary.__init__(self) |
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64 | |
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65 | if conserved_quantities is None: |
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66 | msg = 'Must specify one value for each conserved quantity' |
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67 | raise Exception, msg |
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68 | |
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69 | from Numeric import array, Float |
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70 | self.conserved_quantities=array(conserved_quantities).astype(Float) |
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71 | |
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72 | def __repr__(self): |
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73 | return 'Dirichlet boundary (%s)' %self.conserved_quantities |
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74 | |
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75 | def evaluate(self, vol_id=None, edge_id=None): |
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76 | return self.conserved_quantities |
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77 | |
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78 | |
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79 | |
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80 | class Time_boundary(Boundary): |
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81 | """Time dependent boundary returns values for the |
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82 | conserved quantities as a function of time. |
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83 | Must specify domain to get access to model time and a function f(t) |
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84 | which must return conserved quantities as a function time |
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85 | """ |
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86 | |
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87 | # FIXME (Ole): We should rename f to function to be consistent with |
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88 | # Transmissive_Momentum_Set_Stage_Boundary (cf posting by rrraman) |
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89 | def __init__(self, domain = None, f = None): |
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90 | Boundary.__init__(self) |
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91 | |
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92 | try: |
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93 | q = f(0.0) |
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94 | except Exception, e: |
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95 | msg = 'Function for time boundary could not be executed:\n%s' %e |
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96 | raise msg |
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97 | |
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98 | |
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99 | from Numeric import array, Float |
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100 | try: |
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101 | q = array(q).astype(Float) |
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102 | except: |
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103 | msg = 'Return value from time boundary function could ' |
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104 | msg += 'not be converted into a Numeric array of floats.\n' |
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105 | msg += 'Specified function should return either list or array.' |
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106 | raise msg |
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107 | |
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108 | msg = 'ERROR: Time boundary function must return a 1d list or array ' |
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109 | assert len(q.shape) == 1, msg |
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110 | |
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111 | d = len(domain.conserved_quantities) |
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112 | msg = 'Return value for f must be a list or an array of length %d' %d |
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113 | assert len(q) == d, msg |
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114 | |
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115 | self.f = f |
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116 | self.domain = domain |
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117 | |
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118 | def __repr__(self): |
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119 | return 'Time boundary' |
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120 | |
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121 | def evaluate(self, vol_id=None, edge_id=None): |
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122 | # FIXME (Ole): I think this should be get_time(), see ticket:306 |
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123 | return self.f(self.domain.time) |
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124 | |
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125 | |
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126 | class File_boundary_time(Boundary): |
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127 | """Boundary values obtained from file and interpolated. |
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128 | conserved quantities as a function of time. |
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129 | |
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130 | Assumes that file contains a time series. |
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131 | |
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132 | No spatial info assumed. |
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133 | """ |
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134 | |
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135 | #FIXME: Is this still necessary |
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136 | |
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137 | def __init__(self, filename, domain): |
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138 | import time |
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139 | from Numeric import array |
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140 | from anuga.config import time_format |
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141 | from anuga.abstract_2d_finite_volumes.util import File_function |
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142 | |
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143 | Boundary.__init__(self) |
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144 | |
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145 | self.F = File_function(filename, domain) |
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146 | self.domain = domain |
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147 | |
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148 | #Test |
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149 | q = self.F(0) |
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150 | |
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151 | d = len(domain.conserved_quantities) |
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152 | msg = 'Values specified in file must be a list or an array of length %d' %d |
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153 | assert len(q) == d, msg |
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154 | |
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155 | |
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156 | def __repr__(self): |
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157 | return 'File boundary' |
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158 | |
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159 | def evaluate(self, vol_id=None, edge_id=None): |
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160 | """Return linearly interpolated values based on domain.time |
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161 | |
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162 | vol_id and edge_id are ignored |
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163 | """ |
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164 | |
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165 | # FIXME (Ole): I think this should be get_time(), see ticket:306 |
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166 | t = self.domain.time |
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167 | return self.F(t) |
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168 | |
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169 | |
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170 | |
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171 | |
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172 | class File_boundary(Boundary): |
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173 | """The File_boundary reads values for the conserved |
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174 | quantities from an sww NetCDF file, and returns interpolated values |
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175 | at the midpoints of each associated boundary segment. |
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176 | Time dependency is interpolated linearly. |
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177 | |
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178 | Assumes that file contains a time series and possibly |
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179 | also spatial info. See docstring for File_function in util.py |
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180 | for details about admissible file formats |
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181 | |
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182 | File boundary must read and interpolate from *smoothed* version |
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183 | as stored in sww and cannot work with the discontinuos triangles. |
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184 | |
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185 | Example: |
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186 | Bf = File_boundary('source_file.sww', domain) |
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187 | |
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188 | |
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189 | Note that the resulting solution history is not exactly the same as if |
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190 | the models were coupled as there is no feedback into the source model. |
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191 | |
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192 | Optional keyword argument default_boundary must be either None or |
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193 | an instance of class descending from class Boundary. |
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194 | This will be used in case model time exceeds that available in the |
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195 | underlying data. |
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196 | |
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197 | """ |
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198 | |
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199 | # FIXME (Ole): I kind of like the name Spatio_Temporal_boundary for this |
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200 | # rather than File_boundary |
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201 | |
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202 | def __init__(self, filename, domain, |
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203 | time_thinning=1, |
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204 | boundary_polygon=None, |
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205 | default_boundary=None, |
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206 | use_cache=False, |
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207 | verbose=False): |
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208 | |
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209 | import time |
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210 | from Numeric import array, zeros, Float |
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211 | from anuga.config import time_format |
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212 | from anuga.abstract_2d_finite_volumes.util import file_function |
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213 | |
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214 | Boundary.__init__(self) |
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215 | |
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216 | # Get x,y vertex coordinates for all triangles |
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217 | V = domain.vertex_coordinates |
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218 | |
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219 | # Compute midpoint coordinates for all boundary elements |
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220 | # Only a subset may be invoked when boundary is evaluated but |
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221 | # we don't know which ones at this stage since this object can |
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222 | # be attached to |
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223 | # any tagged boundary later on. |
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224 | |
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225 | if verbose: print 'Find midpoint coordinates of entire boundary' |
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226 | self.midpoint_coordinates = zeros( (len(domain.boundary), 2), Float) |
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227 | boundary_keys = domain.boundary.keys() |
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228 | |
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229 | xllcorner = domain.geo_reference.get_xllcorner() |
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230 | yllcorner = domain.geo_reference.get_yllcorner() |
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231 | |
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232 | |
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233 | # Make ordering unique #FIXME: should this happen in domain.py? |
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234 | boundary_keys.sort() |
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235 | |
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236 | # Record ordering #FIXME: should this also happen in domain.py? |
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237 | self.boundary_indices = {} |
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238 | for i, (vol_id, edge_id) in enumerate(boundary_keys): |
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239 | |
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240 | base_index = 3*vol_id |
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241 | x0, y0 = V[base_index, :] |
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242 | x1, y1 = V[base_index+1, :] |
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243 | x2, y2 = V[base_index+2, :] |
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244 | |
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245 | # Compute midpoints |
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246 | if edge_id == 0: m = array([(x1 + x2)/2, (y1 + y2)/2]) |
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247 | if edge_id == 1: m = array([(x0 + x2)/2, (y0 + y2)/2]) |
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248 | if edge_id == 2: m = array([(x1 + x0)/2, (y1 + y0)/2]) |
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249 | |
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250 | # Convert to absolute UTM coordinates |
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251 | m[0] += xllcorner |
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252 | m[1] += yllcorner |
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253 | |
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254 | # Register point and index |
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255 | self.midpoint_coordinates[i,:] = m |
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256 | |
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257 | # Register index of this boundary edge for use with evaluate |
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258 | self.boundary_indices[(vol_id, edge_id)] = i |
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259 | |
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260 | if verbose: print 'Initialise file_function' |
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261 | self.F = file_function(filename, |
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262 | domain, |
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263 | quantities=domain.conserved_quantities, |
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264 | interpolation_points=self.midpoint_coordinates, |
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265 | time_thinning=time_thinning, |
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266 | use_cache=use_cache, |
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267 | verbose=verbose, |
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268 | boundary_polygon=boundary_polygon) |
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269 | |
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270 | # Check and store default_boundary |
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271 | msg = 'Keyword argument default_boundary must be either None ' |
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272 | msg += 'or a boundary object.\n I got %s' %(str(default_boundary)) |
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273 | assert default_boundary is None or\ |
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274 | isinstance(default_boundary, Boundary), msg |
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275 | self.default_boundary = default_boundary |
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276 | self.default_boundary_invoked = False # Flag |
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277 | |
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278 | # Store pointer to domain |
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279 | self.domain = domain |
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280 | |
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281 | self.verbose = verbose |
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282 | |
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283 | # Test |
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284 | |
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285 | # Here we'll flag indices outside the mesh as a warning |
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286 | # as suggested by Joaquim Luis in sourceforge posting |
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287 | # November 2007 |
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288 | # We won't make it an error as it is conceivable that |
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289 | # only part of mesh boundary is actually used with a given |
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290 | # file boundary sww file. |
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291 | if hasattr(self.F, 'indices_outside_mesh') and\ |
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292 | len(self.F.indices_outside_mesh) > 0: |
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293 | msg = 'WARNING: File_boundary has points outside the mesh ' |
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294 | msg += 'given in %s. ' %filename |
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295 | msg += 'See warning message issued by Interpolation_function ' |
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296 | msg += 'for details (should appear above somewhere if ' |
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297 | msg += 'verbose is True).\n' |
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298 | msg += 'This is perfectly OK as long as the points that are ' |
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299 | msg += 'outside aren\'t used on the actual boundary segment.' |
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300 | if verbose is True: |
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301 | print msg |
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302 | #raise Exception(msg) |
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303 | |
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304 | # Test that file function can be called |
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305 | q = self.F(0, point_id=0) |
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306 | d = len(domain.conserved_quantities) |
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307 | msg = 'Values specified in file %s must be ' %filename |
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308 | msg += ' a list or an array of length %d' %d |
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309 | assert len(q) == d, msg |
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310 | |
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311 | |
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312 | def __repr__(self): |
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313 | return 'File boundary' |
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314 | |
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315 | |
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316 | def evaluate(self, vol_id=None, edge_id=None): |
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317 | """Return linearly interpolated values based on domain.time |
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318 | at midpoint of segment defined by vol_id and edge_id. |
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319 | """ |
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320 | |
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321 | # FIXME (Ole): I think this should be get_time(), see ticket:306 |
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322 | t = self.domain.time |
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323 | |
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324 | if vol_id is not None and edge_id is not None: |
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325 | i = self.boundary_indices[ vol_id, edge_id ] |
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326 | |
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327 | try: |
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328 | res = self.F(t, point_id=i) |
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329 | except Modeltime_too_early, e: |
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330 | raise Modeltime_too_early, e |
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331 | except Modeltime_too_late, e: |
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332 | if self.default_boundary is None: |
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333 | raise Exception, e # Reraise exception |
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334 | else: |
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335 | # Pass control to default boundary |
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336 | res = self.default_boundary.evaluate(vol_id, edge_id) |
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337 | |
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338 | # Ensure that result cannot be manipulated |
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339 | # This is a real danger in case the |
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340 | # default_boundary is a Dirichlet type |
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341 | # for instance. |
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342 | res = res.copy() |
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343 | |
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344 | if self.default_boundary_invoked is False: |
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345 | # Issue warning the first time |
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346 | msg = '%s' %str(e) |
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347 | msg += 'Instead I will use the default boundary: %s\n'\ |
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348 | %str(self.default_boundary) |
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349 | msg += 'Note: Further warnings will be supressed' |
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350 | warn(msg) |
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351 | |
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352 | # FIXME (Ole): Replace this crude flag with |
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353 | # Python's ability to print warnings only once. |
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354 | # See http://docs.python.org/lib/warning-filter.html |
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355 | self.default_boundary_invoked = True |
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356 | |
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357 | |
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358 | if res == NAN: |
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359 | x,y=self.midpoint_coordinates[i,:] |
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360 | msg = 'NAN value found in file_boundary at ' |
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361 | msg += 'point id #%d: (%.2f, %.2f).\n' %(i, x, y) |
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362 | |
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363 | if hasattr(self.F, 'indices_outside_mesh') and\ |
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364 | len(self.F.indices_outside_mesh) > 0: |
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365 | # Check if NAN point is due it being outside |
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366 | # boundary defined in sww file. |
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367 | |
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368 | if i in self.F.indices_outside_mesh: |
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369 | msg += 'This point refers to one outside the ' |
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370 | msg += 'mesh defined by the file %s.\n'\ |
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371 | %self.F.filename |
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372 | msg += 'Make sure that the file covers ' |
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373 | msg += 'the boundary segment it is assigned to ' |
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374 | msg += 'in set_boundary.' |
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375 | else: |
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376 | msg += 'This point is inside the mesh defined ' |
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377 | msg += 'the file %s.\n' %self.F.filename |
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378 | msg += 'Check this file for NANs.' |
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379 | raise Exception, msg |
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380 | |
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381 | return res |
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382 | else: |
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383 | msg = 'Boundary call without point_id not implemented.\n' |
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384 | msg += 'vol_id=%s, edge_id=%s' %(str(vol_id), str(edge_id)) |
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385 | raise Exception, msg |
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386 | # FIXME: What should the semantics be? |
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387 | #return self.F(t) |
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388 | |
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389 | |
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390 | |
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391 | |
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392 | |
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393 | |
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394 | |
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395 | |
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396 | #THIS FAR (10/8/4) |
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397 | class Connective_boundary(Boundary): |
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398 | """Connective boundary returns values for the |
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399 | conserved quantities from a volume as defined by a connection table |
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400 | mapping between tuples of (volume id, face id) for volumes that |
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401 | have their boundaries connected. |
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402 | |
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403 | FIXME: Perhaps include possibility of mapping between |
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404 | different domains as well |
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405 | |
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406 | FIXME: In case of shallow water we may want to have a |
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407 | special version that casts this in terms of height rather than stage |
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408 | """ |
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409 | |
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410 | |
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411 | def __init__(self, table): |
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412 | from domain import Volume |
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413 | |
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414 | Boundary.__init__(self) |
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415 | |
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416 | self.connection_table = table |
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417 | self.Volume = Volume |
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418 | |
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419 | def __repr__(self): |
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420 | return 'Connective boundary' |
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421 | |
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422 | #FIXME: IF we ever need to get field_values from connected volume, |
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423 | #that method could be overridden here (using same idea as in |
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424 | #get_conserved_quantities |
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425 | #def get_field_values() |
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426 | |
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427 | def get_conserved_quantities(self, volume, face=0): |
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428 | |
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429 | id = volume.id |
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430 | if self.connection_table.has_key((id, face)): |
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431 | other_id, other_face = self.connection_table[(id, face)] |
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432 | |
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433 | other_volume = self.Volume.instances[other_id] |
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434 | cmd = 'q = other_volume.conserved_quantities_face%d' %face; |
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435 | exec(cmd) |
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436 | return q |
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437 | else: |
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438 | msg = 'Volume, face tuple ($d, %d) has not been mapped'\ |
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439 | %(id, face) |
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440 | raise msg |
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441 | |
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442 | |
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443 | |
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444 | |
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445 | |
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446 | #FIXME: Add a boundary with a general function of x,y, and t |
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447 | |
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448 | #FIXME: Add periodic boundaries e.g.: |
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449 | # Attempt at periodic conditions from advection_spik. Remember this |
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450 | # |
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451 | #first = 2*(N-1)*N |
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452 | #for i in range(1,2*N+1,2): |
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453 | # k = first + i-1# |
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454 | # |
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455 | # print i,k |
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456 | # |
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457 | # domain[i].faces[2].neighbour = domain[k].faces[1] |
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458 | # domain[k].faces[1].neighbour = domain[i].faces[2] |
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459 | |
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460 | |
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461 | |
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462 | class General_boundary(Boundary): |
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463 | """General boundary which can compute conserved quantities based on |
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464 | their previous value, conserved quantities of its neighbour and model time. |
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465 | |
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466 | Must specify initial conserved quantities, |
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467 | neighbour, |
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468 | domain to get access to model time |
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469 | a function f(q_old, neighbours_q, t) which must return |
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470 | new conserved quantities q as a function time |
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471 | |
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472 | FIXME: COMPLETE UNTESTED - JUST AN IDEA |
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473 | """ |
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474 | |
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475 | def __init__(self, neighbour=None, conserved_quantities=None, domain=None, f=None): |
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476 | Boundary.__init__(self, neighbour=neighbour, conserved_quantities=conserved_quantities) |
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477 | |
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478 | self.f = f |
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479 | self.domain = domain |
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480 | |
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481 | |
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482 | def get_conserved_quantities(self, volume=None, face=0): |
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483 | |
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484 | # FIXME (Ole): I think this should be get_time(), see ticket:306 |
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485 | return self.f(self.conserved_quantities, |
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486 | neighbour.conserved_quantities, |
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487 | self.domain.time) |
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488 | |
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489 | |
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490 | |
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491 | |
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