1 | import sys |
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2 | from os import sep |
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3 | sys.path.append('..'+sep+'pyvolution') |
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4 | |
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5 | """Class Parallel_Domain - |
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6 | 2D triangular domains for finite-volume computations of |
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7 | the advection equation, with extra structures to allow |
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8 | communication between other Parallel_Domains and itself |
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9 | |
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10 | This module contains a specialisation of class Domain from module advection.py |
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11 | |
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12 | Ole Nielsen, Stephen Roberts, Duncan Gray, Christopher Zoppou |
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13 | Geoscience Australia, 2004 |
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14 | """ |
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15 | |
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16 | from advection import * |
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17 | Advection_Domain = Domain |
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18 | from Numeric import zeros, Float, Int, ones, allclose, array |
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19 | import pypar |
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20 | |
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21 | |
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22 | class Parallel_Domain(Advection_Domain): |
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23 | |
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24 | def __init__(self, coordinates, vertices, boundary = None, |
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25 | full_send_dict = None, ghost_recv_dict = None, |
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26 | velocity = None): |
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27 | |
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28 | self.processor = pypar.rank() |
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29 | self.numproc = pypar.size() |
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30 | #print 'Processor %d'%self.processor |
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31 | #velocity = [(self.processor+1),0.0] |
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32 | |
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33 | #print 'velocity',velocity |
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34 | |
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35 | Advection_Domain.__init__(self, coordinates, vertices, boundary, velocity) |
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36 | |
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37 | N = self.number_of_elements |
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38 | |
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39 | self.processor = pypar.rank() |
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40 | self.numproc = pypar.size() |
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41 | |
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42 | self.full_send_dict = full_send_dict |
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43 | self.ghost_recv_dict = ghost_recv_dict |
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44 | |
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45 | #print self.full_send_dict |
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46 | #print self.ghost_recv_dict |
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47 | |
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48 | def check_integrity(self): |
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49 | Advection_Domain.check_integrity(self) |
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50 | |
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51 | msg = 'Will need to check global and local numbering' |
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52 | assert self.conserved_quantities[0] == 'stage', msg |
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53 | |
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54 | |
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55 | |
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56 | def update_timestep(self, yieldstep, finaltime): |
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57 | |
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58 | # Calculate local timestep |
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59 | Advection_Domain.update_timestep(self, yieldstep, finaltime) |
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60 | |
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61 | # For some reason it looks like pypar only reduces numeric arrays |
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62 | # hence we need to create some dummy arrays for communication |
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63 | ltimestep = ones( 1, Float ) |
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64 | ltimestep[0] = self.timestep |
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65 | |
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66 | gtimestep = zeros( 1, Float) # Buffer for results |
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67 | |
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68 | pypar.raw_reduce(ltimestep, gtimestep, pypar.MIN, 0) |
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69 | pypar.broadcast(gtimestep,0) |
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70 | #pypar.Barrier() |
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71 | |
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72 | self.timestep = gtimestep[0] |
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73 | |
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74 | |
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75 | |
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76 | def update_ghosts(self): |
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77 | |
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78 | # We must send the information from the full cells and |
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79 | # receive the information for the ghost cells |
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80 | # We have a dictionary of lists with ghosts expecting updates from |
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81 | # the separate processors |
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82 | |
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83 | from weave import converters |
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84 | |
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85 | stage_cv = self.quantities['stage'].centroid_values |
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86 | |
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87 | # update of non-local ghost cells |
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88 | for iproc in range(self.numproc): |
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89 | |
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90 | if iproc == self.processor: |
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91 | #Send data from iproc processor to other processors |
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92 | for send_proc in self.full_send_dict: |
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93 | if send_proc != iproc: |
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94 | Idf = self.full_send_dict[send_proc][0] |
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95 | Xout = self.full_send_dict[send_proc][1] |
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96 | N = len(Xout) |
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97 | |
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98 | """ |
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99 | # Original python Code |
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100 | for i in range(N): |
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101 | Xout[i] = stage_cv[Idf[i]] |
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102 | """ |
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103 | code1 = """ |
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104 | for (int i=0; i<N ; i++){ |
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105 | Xout(i) = stage_cv(Idf(i)); |
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106 | } |
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107 | """ |
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108 | weave.inline(code1, ['stage_cv','Idf','Xout','N'], |
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109 | type_converters = converters.blitz, compiler='gcc'); |
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110 | |
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111 | pypar.send(Xout,send_proc) |
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112 | #print 'Processor %d Sending to Processor %d'%(self.processor,send_proc) |
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113 | else: |
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114 | #Receive data from the iproc processor |
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115 | if self.ghost_recv_dict.has_key(iproc): |
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116 | Idg = self.ghost_recv_dict[iproc][0] |
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117 | X = self.ghost_recv_dict[iproc][1] |
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118 | |
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119 | X = pypar.receive(iproc,X) |
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120 | N = len(X) |
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121 | #print 'Processor %d receiving from Processor %d'%(self.processor,iproc) |
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122 | for i in range(N): |
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123 | stage_cv[Idg[i]] = X[i] |
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124 | pypar.barrier() |
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125 | |
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126 | #local update of ghost cells |
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127 | iproc = self.processor |
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128 | if self.full_send_dict.has_key(iproc): |
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129 | Idf = self.full_send_dict[iproc][0] |
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130 | #print Idf |
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131 | Idg = self.ghost_recv_dict[iproc][0] |
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132 | N = len(Idg) |
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133 | #print Idg |
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134 | for i in range(N): |
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135 | #print i,Idg[i],Idf[i] |
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136 | stage_cv[Idg[i]] = stage_cv[Idf[i]] |
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137 | |
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138 | |
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139 | # if self.ghosts is not None: |
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140 | # stage_cv = self.quantities['stage'].centroid_values |
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141 | # for triangle in self.ghosts: |
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142 | # stage_cv[triangle] = stage_cv[self.ghosts[triangle]] |
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143 | |
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144 | |
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145 | def write_time(self): |
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146 | if self.min_timestep == self.max_timestep: |
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147 | print 'Processor %d, Time = %.4f, delta t = %.8f, steps=%d (%d)'\ |
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148 | %(self.processor, self.time, self.min_timestep, self.number_of_steps, |
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149 | self.number_of_first_order_steps) |
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150 | elif self.min_timestep > self.max_timestep: |
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151 | print 'Processor %d, Time = %.4f, steps=%d (%d)'\ |
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152 | %(self.processor, self.time, self.number_of_steps, |
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153 | self.number_of_first_order_steps) |
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154 | else: |
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155 | print 'Processor %d, Time = %.4f, delta t in [%.8f, %.8f], steps=%d (%d)'\ |
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156 | %(self.processor, self.time, self.min_timestep, |
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157 | self.max_timestep, self.number_of_steps, |
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158 | self.number_of_first_order_steps) |
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159 | |
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160 | |
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161 | |
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162 | def evolve(self, yieldstep = None, finaltime = None): |
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163 | """Specialisation of basic evolve method from parent class |
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164 | """ |
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165 | |
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166 | #Initialise real time viz if requested |
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167 | if self.time == 0.0: |
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168 | pass |
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169 | |
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170 | #Call basic machinery from parent class |
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171 | for t in Advection_Domain.evolve(self, yieldstep, finaltime): |
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172 | |
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173 | #Pass control on to outer loop for more specific actions |
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174 | yield(t) |
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175 | |
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176 | |
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177 | |
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178 | |
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179 | def parallel_rectangular(m, n, len1=1.0, len2=1.0, origin = (0.0, 0.0)): |
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180 | |
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181 | |
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182 | """Setup a rectangular grid of triangles |
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183 | with m+1 by n+1 grid points |
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184 | and side lengths len1, len2. If side lengths are omitted |
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185 | the mesh defaults to the unit square, divided between all the |
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186 | processors |
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187 | |
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188 | len1: x direction (left to right) |
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189 | len2: y direction (bottom to top) |
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190 | """ |
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191 | |
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192 | from config import epsilon |
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193 | from Numeric import zeros, Float, Int |
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194 | |
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195 | processor = pypar.rank() |
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196 | numproc = pypar.size() |
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197 | |
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198 | |
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199 | |
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200 | delta1 = float(len1)/m |
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201 | delta2 = float(len2)/n |
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202 | |
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203 | #Calculate number of points |
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204 | Np = (m+1)*(n+1) |
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205 | |
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206 | class VIndex: |
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207 | |
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208 | def __init__(self, n,m): |
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209 | self.n = n |
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210 | self.m = m |
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211 | |
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212 | def __call__(self, i,j): |
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213 | return j+i*(self.n+1) |
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214 | |
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215 | class EIndex: |
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216 | |
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217 | def __init__(self, n,m): |
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218 | self.n = n |
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219 | self.m = m |
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220 | |
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221 | def __call__(self, i,j): |
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222 | return 2*(j+i*self.n) |
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223 | |
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224 | |
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225 | I = VIndex(n,m) |
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226 | E = EIndex(n,m) |
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227 | |
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228 | points = zeros( (Np,2), Float) |
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229 | |
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230 | for i in range(m+1): |
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231 | for j in range(n+1): |
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232 | |
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233 | points[I(i,j),:] = [i*delta1 + origin[0], j*delta2 + origin[1]] |
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234 | |
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235 | #Construct 2 triangles per rectangular element and assign tags to boundary |
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236 | #Calculate number of triangles |
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237 | Nt = 2*m*n |
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238 | |
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239 | |
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240 | elements = zeros( (Nt,3), Int) |
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241 | boundary = {} |
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242 | Idgl = [] |
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243 | Xgl = [] |
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244 | Idfl = [] |
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245 | Xfl = [] |
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246 | Idgr = [] |
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247 | Xgr = [] |
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248 | Idfr = [] |
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249 | Xfr = [] |
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250 | |
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251 | full_send_dict = {} |
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252 | ghost_recv_dict = {} |
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253 | nt = -1 |
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254 | for i in range(m): |
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255 | for j in range(n): |
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256 | |
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257 | i1 = I(i,j+1) |
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258 | i2 = I(i,j) |
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259 | i3 = I(i+1,j+1) |
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260 | i4 = I(i+1,j) |
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261 | |
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262 | #Lower Element |
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263 | nt = E(i,j) |
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264 | if i == m-1: |
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265 | #print 'nt =',nt |
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266 | Idgr.append(nt) |
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267 | Idfr.append(E(1,j)) |
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268 | if i == 0: |
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269 | Idgl.append(nt) |
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270 | Idfl.append(E(m-2,j)) |
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271 | |
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272 | if i == m-1: |
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273 | boundary[nt, 2] = 'right' |
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274 | if j == 0: |
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275 | boundary[nt, 1] = 'bottom' |
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276 | elements[nt,:] = [i4,i3,i2] |
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277 | |
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278 | #Upper Element |
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279 | nt = E(i,j)+1 |
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280 | if i == m-1: |
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281 | Idgr.append(nt) |
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282 | Idfr.append(E(1,j)+1) |
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283 | if i == 0: |
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284 | Idgl.append(nt) |
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285 | Idfl.append(E(m-2,j)+1) |
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286 | |
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287 | if i == 0: |
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288 | boundary[nt, 2] = 'left' |
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289 | if j == n-1: |
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290 | boundary[nt, 1] = 'top' |
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291 | elements[nt,:] = [i1,i2,i3] |
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292 | |
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293 | Idfl = array(Idfl,Int) |
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294 | Idgl = array(Idgl,Int) |
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295 | Xfl = zeros(Idfl.shape,Float) |
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296 | Xgl = zeros(Idgl.shape,Float) |
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297 | |
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298 | Idfr = array(Idfr,Int) |
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299 | Idgr = array(Idgr,Int) |
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300 | Xfr = zeros(Idfr.shape,Float) |
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301 | Xgr = zeros(Idgr.shape,Float) |
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302 | |
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303 | #print Idf |
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304 | #print Idg |
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305 | full_send_dict[(processor-1)%numproc] = [Idfl, Xfl] |
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306 | ghost_recv_dict[(processor-1)%numproc] = [Idgl, Xgl] |
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307 | full_send_dict[(processor+1)%numproc] = [Idfr, Xfr] |
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308 | ghost_recv_dict[(processor+1)%numproc] = [Idgr, Xgr] |
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309 | |
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310 | return points, elements, boundary, full_send_dict, ghost_recv_dict |
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311 | |
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312 | |
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313 | |
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314 | def rectangular_periodic(m, n, len1=1.0, len2=1.0, origin = (0.0, 0.0)): |
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315 | |
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316 | |
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317 | """Setup a rectangular grid of triangles |
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318 | with m+1 by n+1 grid points |
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319 | and side lengths len1, len2. If side lengths are omitted |
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320 | the mesh defaults to the unit square. |
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321 | |
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322 | len1: x direction (left to right) |
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323 | len2: y direction (bottom to top) |
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324 | |
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325 | Return to lists: points and elements suitable for creating a Mesh or |
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326 | FVMesh object, e.g. Mesh(points, elements) |
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327 | """ |
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328 | |
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329 | from config import epsilon |
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330 | from Numeric import zeros, Float, Int |
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331 | |
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332 | delta1 = float(len1)/m |
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333 | delta2 = float(len2)/n |
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334 | |
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335 | #Calculate number of points |
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336 | Np = (m+1)*(n+1) |
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337 | |
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338 | class VIndex: |
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339 | |
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340 | def __init__(self, n,m): |
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341 | self.n = n |
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342 | self.m = m |
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343 | |
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344 | def __call__(self, i,j): |
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345 | return j+i*(self.n+1) |
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346 | |
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347 | class EIndex: |
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348 | |
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349 | def __init__(self, n,m): |
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350 | self.n = n |
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351 | self.m = m |
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352 | |
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353 | def __call__(self, i,j): |
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354 | return 2*(j+i*self.n) |
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355 | |
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356 | |
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357 | I = VIndex(n,m) |
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358 | E = EIndex(n,m) |
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359 | |
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360 | points = zeros( (Np,2), Float) |
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361 | |
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362 | for i in range(m+1): |
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363 | for j in range(n+1): |
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364 | |
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365 | points[I(i,j),:] = [i*delta1 + origin[0], j*delta2 + origin[1]] |
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366 | |
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367 | #Construct 2 triangles per rectangular element and assign tags to boundary |
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368 | #Calculate number of triangles |
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369 | Nt = 2*m*n |
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370 | |
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371 | |
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372 | elements = zeros( (Nt,3), Int) |
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373 | boundary = {} |
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374 | ghosts = {} |
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375 | nt = -1 |
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376 | for i in range(m): |
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377 | for j in range(n): |
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378 | |
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379 | i1 = I(i,j+1) |
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380 | i2 = I(i,j) |
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381 | i3 = I(i+1,j+1) |
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382 | i4 = I(i+1,j) |
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383 | |
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384 | #Lower Element |
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385 | nt = E(i,j) |
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386 | if i == m-1: |
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387 | ghosts[nt] = E(1,j) |
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388 | if i == 0: |
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389 | ghosts[nt] = E(m-2,j) |
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390 | |
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391 | if j == n-1: |
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392 | ghosts[nt] = E(i,1) |
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393 | |
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394 | if j == 0: |
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395 | ghosts[nt] = E(i,n-2) |
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396 | |
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397 | if i == m-1: |
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398 | boundary[nt, 2] = 'right' |
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399 | if j == 0: |
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400 | boundary[nt, 1] = 'bottom' |
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401 | elements[nt,:] = [i4,i3,i2] |
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402 | |
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403 | #Upper Element |
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404 | nt = E(i,j)+1 |
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405 | if i == m-1: |
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406 | ghosts[nt] = E(1,j)+1 |
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407 | if i == 0: |
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408 | ghosts[nt] = E(m-2,j)+1 |
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409 | |
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410 | if j == n-1: |
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411 | ghosts[nt] = E(i,1)+1 |
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412 | |
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413 | if j == 0: |
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414 | ghosts[nt] = E(i,n-2)+1 |
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415 | |
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416 | if i == 0: |
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417 | boundary[nt, 2] = 'left' |
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418 | if j == n-1: |
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419 | boundary[nt, 1] = 'top' |
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420 | elements[nt,:] = [i1,i2,i3] |
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421 | |
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422 | #bottom left |
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423 | nt = E(0,0) |
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424 | nf = E(m-2,n-2) |
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425 | ghosts[nt] = nf |
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426 | ghosts[nt+1] = nf+1 |
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427 | |
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428 | #bottom right |
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429 | nt = E(m-1,0) |
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430 | nf = E(1,n-2) |
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431 | ghosts[nt] = nf |
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432 | ghosts[nt+1] = nf+1 |
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433 | |
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434 | #top left |
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435 | nt = E(0,n-1) |
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436 | nf = E(m-2,1) |
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437 | ghosts[nt] = nf |
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438 | ghosts[nt+1] = nf+1 |
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439 | |
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440 | #top right |
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441 | nt = E(m-1,n-1) |
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442 | nf = E(1,1) |
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443 | ghosts[nt] = nf |
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444 | ghosts[nt+1] = nf+1 |
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445 | |
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446 | return points, elements, boundary, ghosts |
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447 | |
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448 | def rectangular_periodic_lr(m, n, len1=1.0, len2=1.0, origin = (0.0, 0.0)): |
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449 | |
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450 | |
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451 | """Setup a rectangular grid of triangles |
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452 | with m+1 by n+1 grid points |
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453 | and side lengths len1, len2. If side lengths are omitted |
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454 | the mesh defaults to the unit square. |
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455 | |
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456 | len1: x direction (left to right) |
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457 | len2: y direction (bottom to top) |
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458 | |
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459 | Return to lists: points and elements suitable for creating a Mesh or |
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460 | Domain object, e.g. Mesh(points, elements) |
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461 | """ |
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462 | |
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463 | from config import epsilon |
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464 | from Numeric import zeros, Float, Int |
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465 | |
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466 | delta1 = float(len1)/m |
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467 | delta2 = float(len2)/n |
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468 | |
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469 | #Calculate number of points |
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470 | Np = (m+1)*(n+1) |
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471 | |
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472 | class VIndex: |
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473 | |
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474 | def __init__(self, n,m): |
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475 | self.n = n |
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476 | self.m = m |
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477 | |
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478 | def __call__(self, i,j): |
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479 | return j+i*(self.n+1) |
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480 | |
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481 | class EIndex: |
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482 | |
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483 | def __init__(self, n,m): |
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484 | self.n = n |
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485 | self.m = m |
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486 | |
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487 | def __call__(self, i,j): |
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488 | return 2*(j+i*self.n) |
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489 | |
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490 | |
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491 | I = VIndex(n,m) |
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492 | E = EIndex(n,m) |
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493 | |
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494 | points = zeros( (Np,2), Float) |
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495 | |
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496 | for i in range(m+1): |
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497 | for j in range(n+1): |
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498 | |
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499 | points[I(i,j),:] = [i*delta1 + origin[0], j*delta2 + origin[1]] |
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500 | |
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501 | #Construct 2 triangles per rectangular element and assign tags to boundary |
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502 | #Calculate number of triangles |
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503 | Nt = 2*m*n |
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504 | |
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505 | |
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506 | elements = zeros( (Nt,3), Int) |
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507 | boundary = {} |
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508 | ghosts = {} |
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509 | nt = -1 |
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510 | for i in range(m): |
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511 | for j in range(n): |
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512 | |
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513 | i1 = I(i,j+1) |
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514 | i2 = I(i,j) |
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515 | i3 = I(i+1,j+1) |
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516 | i4 = I(i+1,j) |
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517 | |
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518 | #Lower Element |
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519 | nt = E(i,j) |
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520 | if i == m-1: |
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521 | ghosts[nt] = E(1,j) |
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522 | if i == 0: |
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523 | ghosts[nt] = E(m-2,j) |
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524 | |
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525 | if i == m-1: |
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526 | boundary[nt, 2] = 'right' |
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527 | if j == 0: |
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528 | boundary[nt, 1] = 'bottom' |
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529 | elements[nt,:] = [i4,i3,i2] |
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530 | |
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531 | #Upper Element |
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532 | nt = E(i,j)+1 |
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533 | if i == m-1: |
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534 | ghosts[nt] = E(1,j)+1 |
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535 | if i == 0: |
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536 | ghosts[nt] = E(m-2,j)+1 |
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537 | |
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538 | if i == 0: |
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539 | boundary[nt, 2] = 'left' |
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540 | if j == n-1: |
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541 | boundary[nt, 1] = 'top' |
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542 | elements[nt,:] = [i1,i2,i3] |
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543 | |
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544 | |
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545 | return points, elements, boundary, ghosts |
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