1 | """Class Domain - 2D triangular domains for finite-volume computations of |
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2 | conservation laws. |
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3 | |
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4 | |
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5 | Copyright 2004 |
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6 | Ole Nielsen, Stephen Roberts, Duncan Gray, Christopher Zoppou |
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7 | Geoscience Australia |
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8 | """ |
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9 | |
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10 | from pyvolution.neighbour_mesh import Mesh |
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11 | from pyvolution.generic_boundary_conditions import Boundary |
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12 | from pyvolution.generic_boundary_conditions import File_boundary |
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13 | from pyvolution.generic_boundary_conditions import Dirichlet_boundary |
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14 | from pyvolution.generic_boundary_conditions import Time_boundary |
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15 | from pyvolution.generic_boundary_conditions import Transmissive_boundary |
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16 | from pyvolution.pmesh2domain import pmesh_to_domain |
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17 | |
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18 | import types |
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19 | |
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20 | class Domain(Mesh): |
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21 | |
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22 | |
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23 | def __init__(self, |
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24 | source=None, |
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25 | triangles=None, |
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26 | boundary=None, |
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27 | conserved_quantities=None, |
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28 | other_quantities=None, |
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29 | tagged_elements=None, |
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30 | geo_reference=None, |
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31 | use_inscribed_circle=False, |
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32 | mesh_filename=None, |
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33 | use_cache=False, |
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34 | verbose=False, |
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35 | full_send_dict=None, |
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36 | ghost_recv_dict=None, |
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37 | processor=0, |
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38 | numproc=1): |
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39 | |
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40 | |
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41 | """Instantiate generic computational Domain. |
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42 | |
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43 | Input: |
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44 | source: Either a mesh filename or coordinates of mesh vertices. |
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45 | If it is a filename values specified for triangles will |
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46 | be overridden. |
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47 | triangles: Mesh connectivity (see mesh.py for more information) |
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48 | boundary: See mesh.py for more information |
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49 | |
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50 | conserved_quantities: List of quantity names entering the |
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51 | conservation equations |
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52 | other_quantities: List of other quantity names |
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53 | |
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54 | tagged_elements: |
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55 | ... |
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56 | |
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57 | |
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58 | """ |
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59 | |
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60 | # Determine whether source is a mesh filename or coordinates |
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61 | if type(source) == types.StringType: |
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62 | mesh_filename = source |
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63 | else: |
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64 | coordinates = source |
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65 | |
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66 | |
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67 | # In case a filename has been specified, extract content |
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68 | if mesh_filename is not None: |
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69 | coordinates, triangles, boundary, vertex_quantity_dict, \ |
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70 | tagged_elements, geo_reference = \ |
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71 | pmesh_to_domain(file_name=mesh_filename, |
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72 | use_cache=use_cache, |
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73 | verbose=verbose) |
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74 | |
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75 | |
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76 | # Initialise underlying mesh structure |
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77 | Mesh.__init__(self, coordinates, triangles, boundary, |
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78 | tagged_elements, geo_reference, use_inscribed_circle, |
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79 | verbose=verbose) |
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80 | |
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81 | if verbose: print 'Initialising Domain' |
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82 | from Numeric import zeros, Float, Int, ones |
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83 | from quantity import Quantity, Conserved_quantity |
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84 | |
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85 | # List of quantity names entering |
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86 | # the conservation equations |
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87 | if conserved_quantities is None: |
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88 | self.conserved_quantities = [] |
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89 | else: |
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90 | self.conserved_quantities = conserved_quantities |
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91 | |
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92 | # List of other quantity names |
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93 | if other_quantities is None: |
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94 | self.other_quantities = [] |
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95 | else: |
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96 | self.other_quantities = other_quantities |
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97 | |
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98 | |
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99 | #Build dictionary of Quantity instances keyed by quantity names |
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100 | self.quantities = {} |
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101 | |
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102 | #FIXME: remove later - maybe OK, though.... |
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103 | for name in self.conserved_quantities: |
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104 | self.quantities[name] = Conserved_quantity(self) |
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105 | for name in self.other_quantities: |
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106 | self.quantities[name] = Quantity(self) |
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107 | |
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108 | #Create an empty list for explicit forcing terms |
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109 | self.forcing_terms = [] |
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110 | |
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111 | #Setup the ghost cell communication |
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112 | if full_send_dict is None: |
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113 | self.full_send_dict = {} |
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114 | else: |
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115 | self.full_send_dict = full_send_dict |
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116 | |
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117 | # List of other quantity names |
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118 | if ghost_recv_dict is None: |
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119 | self.ghost_recv_dict = {} |
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120 | else: |
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121 | self.ghost_recv_dict = ghost_recv_dict |
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122 | |
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123 | self.processor = processor |
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124 | self.numproc = numproc |
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125 | |
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126 | # Setup Communication Buffers |
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127 | |
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128 | if verbose: print 'Domain: Set up communication buffers (parallel)' |
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129 | self.nsys = len(self.conserved_quantities) |
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130 | for key in self.full_send_dict: |
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131 | buffer_shape = self.full_send_dict[key][0].shape[0] |
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132 | self.full_send_dict[key].append(zeros( (buffer_shape,self.nsys) ,Float)) |
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133 | |
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134 | |
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135 | for key in self.ghost_recv_dict: |
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136 | buffer_shape = self.ghost_recv_dict[key][0].shape[0] |
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137 | self.ghost_recv_dict[key].append(zeros( (buffer_shape,self.nsys) ,Float)) |
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138 | |
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139 | |
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140 | # Setup cell full flag |
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141 | # =1 for full |
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142 | # =0 for ghost |
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143 | N=self.number_of_elements |
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144 | self.tri_full_flag = ones(N, Int) |
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145 | for i in self.ghost_recv_dict.keys(): |
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146 | for id in self.ghost_recv_dict[i][0]: |
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147 | self.tri_full_flag[id] = 0 |
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148 | |
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149 | |
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150 | #Defaults |
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151 | from config import max_smallsteps, beta_w, beta_h, epsilon, CFL |
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152 | self.beta_w = beta_w |
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153 | self.beta_h = beta_h |
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154 | self.epsilon = epsilon |
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155 | |
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156 | #FIXME: Maybe have separate orders for h-limiter and w-limiter? |
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157 | #Or maybe get rid of order altogether and use beta_w and beta_h |
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158 | self.set_default_order(1) |
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159 | #self.default_order = 1 |
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160 | #self.order = self.default_order |
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161 | |
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162 | self.smallsteps = 0 |
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163 | self.max_smallsteps = max_smallsteps |
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164 | self.number_of_steps = 0 |
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165 | self.number_of_first_order_steps = 0 |
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166 | self.CFL = CFL |
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167 | |
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168 | #Model time |
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169 | self.time = 0.0 |
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170 | self.finaltime = None |
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171 | self.min_timestep = self.max_timestep = 0.0 |
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172 | self.starttime = 0 #Physical starttime if any (0 is 1 Jan 1970 00:00:00) |
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173 | |
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174 | ######OBSOLETE |
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175 | #Origin in UTM coordinates |
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176 | #FIXME: This should be set if read by a msh file |
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177 | #self.zone = zone |
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178 | #self.xllcorner = xllcorner |
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179 | #self.yllcorner = yllcorner |
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180 | |
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181 | |
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182 | #Checkpointing and storage |
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183 | from config import default_datadir |
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184 | self.datadir = default_datadir |
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185 | self.filename = 'domain' |
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186 | self.checkpoint = False |
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187 | |
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188 | #MH310505 To avoid calculating the flux across each edge twice, keep an integer (boolean) array, |
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189 | #to be used during the flux calculation |
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190 | N=self.number_of_elements |
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191 | self.already_computed_flux = zeros((N, 3), Int) |
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192 | |
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193 | if mesh_filename is not None: |
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194 | # If the mesh file passed any quantity values |
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195 | # , initialise with these values. |
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196 | if verbose: print 'Domain: Initialising quantity values' |
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197 | self.set_quantity_vertices_dict(vertex_quantity_dict) |
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198 | |
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199 | |
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200 | if verbose: print 'Domain: Done' |
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201 | |
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202 | |
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203 | |
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204 | |
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205 | def set_default_order(self, n): |
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206 | """Set default (spatial) order to either 1 or 2 |
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207 | """ |
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208 | |
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209 | msg = 'Default order must be either 1 or 2. I got %s' %n |
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210 | assert n in [1,2], msg |
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211 | |
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212 | self.default_order = n |
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213 | self.order = self.default_order |
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214 | |
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215 | |
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216 | #Public interface to Domain |
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217 | def get_conserved_quantities(self, vol_id, vertex=None, edge=None): |
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218 | """Get conserved quantities at volume vol_id |
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219 | |
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220 | If vertex is specified use it as index for vertex values |
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221 | If edge is specified use it as index for edge values |
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222 | If neither are specified use centroid values |
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223 | If both are specified an exeception is raised |
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224 | |
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225 | Return value: Vector of length == number_of_conserved quantities |
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226 | |
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227 | """ |
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228 | |
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229 | from Numeric import zeros, Float |
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230 | |
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231 | if not (vertex is None or edge is None): |
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232 | msg = 'Values for both vertex and edge was specified.' |
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233 | msg += 'Only one (or none) is allowed.' |
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234 | raise msg |
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235 | |
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236 | q = zeros( len(self.conserved_quantities), Float) |
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237 | |
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238 | for i, name in enumerate(self.conserved_quantities): |
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239 | Q = self.quantities[name] |
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240 | if vertex is not None: |
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241 | q[i] = Q.vertex_values[vol_id, vertex] |
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242 | elif edge is not None: |
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243 | q[i] = Q.edge_values[vol_id, edge] |
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244 | else: |
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245 | q[i] = Q.centroid_values[vol_id] |
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246 | |
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247 | return q |
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248 | |
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249 | def set_time(self, time=0.0): |
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250 | """Set the model time (seconds)""" |
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251 | |
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252 | self.time = time |
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253 | |
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254 | def set_quantity_vertices_dict(self, quantity_dict): |
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255 | """Set values for named quantities. |
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256 | The index is the quantity |
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257 | |
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258 | name: Name of quantity |
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259 | X: Compatible list, Numeric array, const or function (see below) |
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260 | |
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261 | The values will be stored in elements following their |
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262 | internal ordering. |
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263 | |
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264 | """ |
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265 | for key in quantity_dict.keys(): |
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266 | self.set_quantity(key, quantity_dict[key], location='vertices') |
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267 | |
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268 | |
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269 | def set_quantity(self, name, *args, **kwargs): |
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270 | """Set values for named quantity |
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271 | |
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272 | |
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273 | One keyword argument is documented here: |
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274 | expression = None, # Arbitrary expression |
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275 | |
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276 | expression: |
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277 | Arbitrary expression involving quantity names |
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278 | |
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279 | See Quantity.set_values for further documentation. |
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280 | """ |
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281 | |
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282 | #FIXME (Ole): Allow new quantities here |
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283 | #from quantity import Quantity, Conserved_quantity |
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284 | #Create appropriate quantity object |
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285 | ##if name in self.conserved_quantities: |
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286 | ## self.quantities[name] = Conserved_quantity(self) |
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287 | ##else: |
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288 | ## self.quantities[name] = Quantity(self) |
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289 | |
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290 | |
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291 | #Do the expression stuff |
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292 | if kwargs.has_key('expression'): |
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293 | expression = kwargs['expression'] |
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294 | del kwargs['expression'] |
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295 | |
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296 | Q = self.create_quantity_from_expression(expression) |
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297 | kwargs['quantity'] = Q |
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298 | |
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299 | #Assign values |
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300 | self.quantities[name].set_values(*args, **kwargs) |
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301 | |
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302 | |
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303 | def get_quantity(self, name, location='vertices', indices = None): |
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304 | """Get quantity object. |
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305 | |
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306 | name: Name of quantity |
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307 | |
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308 | See methods inside the quantity object for more options |
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309 | """ |
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310 | |
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311 | return self.quantities[name] #.get_values( location, indices = indices) |
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312 | |
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313 | |
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314 | def get_quantity_object(self, name): |
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315 | """Get object for named quantity |
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316 | |
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317 | name: Name of quantity |
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318 | |
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319 | FIXME: Obsolete |
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320 | """ |
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321 | |
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322 | print 'get_quantity_object has been deprecated. Please use get_quantity' |
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323 | return self.quantities[name] |
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324 | |
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325 | |
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326 | def create_quantity_from_expression(self, expression): |
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327 | """Create new quantity from other quantities using arbitrary expression |
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328 | |
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329 | Combine existing quantities in domain using expression and return |
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330 | result as a new quantity. |
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331 | |
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332 | Note, the new quantity could e.g. be used in set_quantity |
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333 | |
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334 | Valid expressions are limited to operators defined in class Quantity |
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335 | |
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336 | Example: |
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337 | |
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338 | |
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339 | """ |
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340 | |
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341 | from util import apply_expression_to_dictionary |
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342 | return apply_expression_to_dictionary(expression, self.quantities) |
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343 | |
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344 | |
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345 | |
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346 | |
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347 | def set_boundary(self, boundary_map): |
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348 | """Associate boundary objects with tagged boundary segments. |
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349 | |
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350 | Input boundary_map is a dictionary of boundary objects keyed |
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351 | by symbolic tags to matched against tags in the internal dictionary |
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352 | self.boundary. |
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353 | |
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354 | As result one pointer to a boundary object is stored for each vertex |
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355 | in the list self.boundary_objects. |
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356 | More entries may point to the same boundary object |
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357 | |
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358 | Schematically the mapping is from two dictionaries to one list |
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359 | where the index is used as pointer to the boundary_values arrays |
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360 | within each quantity. |
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361 | |
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362 | self.boundary: (vol_id, edge_id): tag |
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363 | boundary_map (input): tag: boundary_object |
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364 | ---------------------------------------------- |
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365 | self.boundary_objects: ((vol_id, edge_id), boundary_object) |
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366 | |
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367 | |
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368 | Pre-condition: |
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369 | self.boundary has been built. |
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370 | |
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371 | Post-condition: |
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372 | self.boundary_objects is built |
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373 | |
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374 | If a tag from the domain doesn't appear in the input dictionary an |
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375 | exception is raised. |
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376 | However, if a tag is not used to the domain, no error is thrown. |
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377 | FIXME: This would lead to implementation of a |
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378 | default boundary condition |
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379 | |
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380 | Note: If a segment is listed in the boundary dictionary and if it is |
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381 | not None, it *will* become a boundary - |
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382 | even if there is a neighbouring triangle. |
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383 | This would be the case for internal boundaries |
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384 | |
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385 | Boundary objects that are None will be skipped. |
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386 | |
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387 | FIXME: If set_boundary is called multiple times and if Boundary |
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388 | object is changed into None, the neighbour structure will not be |
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389 | restored!!! |
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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 | self.boundary_objects = [] |
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395 | self.boundary_map = boundary_map #Store for use with eg. boundary_stats. |
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396 | |
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397 | #FIXME: Try to remove the sorting and fix test_mesh.py |
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398 | x = self.boundary.keys() |
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399 | x.sort() |
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400 | |
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401 | #Loop through edges that lie on the boundary and associate them with |
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402 | #callable boundary objects depending on their tags |
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403 | for k, (vol_id, edge_id) in enumerate(x): |
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404 | tag = self.boundary[ (vol_id, edge_id) ] |
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405 | |
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406 | if boundary_map.has_key(tag): |
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407 | B = boundary_map[tag] #Get callable boundary object |
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408 | |
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409 | if B is not None: |
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410 | self.boundary_objects.append( ((vol_id, edge_id), B) ) |
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411 | self.neighbours[vol_id, edge_id] = -len(self.boundary_objects) |
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412 | else: |
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413 | pass |
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414 | #FIXME: Check and perhaps fix neighbour structure |
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415 | |
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416 | |
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417 | else: |
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418 | msg = 'ERROR (domain.py): Tag "%s" has not been ' %tag |
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419 | msg += 'bound to a boundary object.\n' |
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420 | msg += 'All boundary tags defined in domain must appear ' |
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421 | msg += 'in the supplied dictionary.\n' |
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422 | msg += 'The tags are: %s' %self.get_boundary_tags() |
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423 | raise msg |
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424 | |
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425 | |
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426 | def set_region(self, functions): |
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427 | # The order of functions in the list is used. |
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428 | if type(functions) not in [types.ListType,types.TupleType]: |
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429 | functions = [functions] |
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430 | for function in functions: |
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431 | for tag in self.tagged_elements.keys(): |
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432 | function(tag, self.tagged_elements[tag], self) |
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433 | |
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434 | #Do we need to do this sort of thing? |
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435 | #self = function(tag, self.tagged_elements[tag], self) |
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436 | |
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437 | #MISC |
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438 | def check_integrity(self): |
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439 | Mesh.check_integrity(self) |
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440 | |
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441 | for quantity in self.conserved_quantities: |
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442 | msg = 'Conserved quantities must be a subset of all quantities' |
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443 | assert quantity in self.quantities, msg |
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444 | |
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445 | ##assert hasattr(self, 'boundary_objects') |
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446 | |
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447 | def write_time(self): |
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448 | print self.timestepping_statistics() |
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449 | |
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450 | #Old version |
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451 | #if self.min_timestep == self.max_timestep: |
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452 | # print 'Time = %.4f, delta t = %.8f, steps=%d (%d)'\ |
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453 | # %(self.time, self.min_timestep, self.number_of_steps, |
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454 | # self.number_of_first_order_steps) |
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455 | #elif self.min_timestep > self.max_timestep: |
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456 | # print 'Time = %.4f, steps=%d (%d)'\ |
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457 | # %(self.time, self.number_of_steps, |
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458 | # self.number_of_first_order_steps) |
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459 | #else: |
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460 | # print 'Time = %.4f, delta t in [%.8f, %.8f], steps=%d (%d)'\ |
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461 | # %(self.time, self.min_timestep, |
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462 | # self.max_timestep, self.number_of_steps, |
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463 | # self.number_of_first_order_steps) |
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464 | |
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465 | def timestepping_statistics(self): |
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466 | """Return string with time stepping statistics for printing or logging |
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467 | """ |
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468 | |
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469 | msg = '' |
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470 | if self.min_timestep == self.max_timestep: |
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471 | msg += 'Time = %.4f, delta t = %.8f, steps=%d (%d)'\ |
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472 | %(self.time, self.min_timestep, self.number_of_steps, |
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473 | self.number_of_first_order_steps) |
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474 | elif self.min_timestep > self.max_timestep: |
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475 | msg += 'Time = %.4f, steps=%d (%d)'\ |
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476 | %(self.time, self.number_of_steps, |
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477 | self.number_of_first_order_steps) |
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478 | else: |
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479 | msg += 'Time = %.4f, delta t in [%.8f, %.8f], steps=%d (%d)'\ |
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480 | %(self.time, self.min_timestep, |
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481 | self.max_timestep, self.number_of_steps, |
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482 | self.number_of_first_order_steps) |
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483 | |
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484 | return msg |
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485 | |
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486 | |
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487 | def write_boundary_statistics(self, quantities = None, tags = None): |
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488 | print self.boundary_statistics(quantities, tags) |
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489 | |
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490 | def boundary_statistics(self, quantities = None, tags = None): |
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491 | """Output statistics about boundary forcing at each timestep |
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492 | |
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493 | |
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494 | Input: |
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495 | quantities: either None, a string or a list of strings naming the quantities to be reported |
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496 | tags: either None, a string or a list of strings naming the tags to be reported |
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497 | |
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498 | |
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499 | Example output: |
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500 | Tag 'wall': |
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501 | stage in [2, 5.5] |
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502 | xmomentum in [] |
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503 | ymomentum in [] |
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504 | Tag 'ocean' |
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505 | |
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506 | |
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507 | If quantities are specified only report on those. Otherwise take all conserved quantities. |
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508 | If tags are specified only report on those, otherwise take all tags. |
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509 | |
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510 | """ |
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511 | |
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512 | #Input checks |
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513 | import types, string |
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514 | |
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515 | if quantities is None: |
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516 | quantities = self.conserved_quantities |
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517 | elif type(quantities) == types.StringType: |
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518 | quantities = [quantities] #Turn it into a list |
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519 | |
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520 | msg = 'Keyword argument quantities must be either None, ' |
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521 | msg += 'string or list. I got %s' %str(quantities) |
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522 | assert type(quantities) == types.ListType, msg |
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523 | |
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524 | |
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525 | if tags is None: |
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526 | tags = self.get_boundary_tags() |
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527 | elif type(tags) == types.StringType: |
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528 | tags = [tags] #Turn it into a list |
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529 | |
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530 | msg = 'Keyword argument tags must be either None, ' |
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531 | msg += 'string or list. I got %s' %str(tags) |
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532 | assert type(tags) == types.ListType, msg |
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533 | |
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534 | #Determine width of longest quantity name (for cosmetic purposes) |
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535 | maxwidth = 0 |
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536 | for name in quantities: |
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537 | w = len(name) |
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538 | if w > maxwidth: |
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539 | maxwidth = w |
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540 | |
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541 | #Output stats |
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542 | msg = 'Boundary values at time %.4f:\n' %self.time |
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543 | for tag in tags: |
---|
544 | msg += ' %s:\n' %tag |
---|
545 | |
---|
546 | for name in quantities: |
---|
547 | q = self.quantities[name] |
---|
548 | |
---|
549 | #Find range of boundary values for tag and q |
---|
550 | maxval = minval = None |
---|
551 | for i, ((vol_id, edge_id), B) in\ |
---|
552 | enumerate(self.boundary_objects): |
---|
553 | if self.boundary[(vol_id, edge_id)] == tag: |
---|
554 | v = q.boundary_values[i] |
---|
555 | if minval is None or v < minval: minval = v |
---|
556 | if maxval is None or v > maxval: maxval = v |
---|
557 | |
---|
558 | if minval is None or maxval is None: |
---|
559 | msg += ' Sorry no information available about' +\ |
---|
560 | ' tag %s and quantity %s\n' %(tag, name) |
---|
561 | else: |
---|
562 | msg += ' %s in [%12.8f, %12.8f]\n'\ |
---|
563 | %(string.ljust(name, maxwidth), minval, maxval) |
---|
564 | |
---|
565 | |
---|
566 | return msg |
---|
567 | |
---|
568 | |
---|
569 | def get_name(self): |
---|
570 | return self.filename |
---|
571 | |
---|
572 | def set_name(self, name): |
---|
573 | self.filename = name |
---|
574 | |
---|
575 | def get_datadir(self): |
---|
576 | return self.datadir |
---|
577 | |
---|
578 | def set_datadir(self, name): |
---|
579 | self.datadir = name |
---|
580 | |
---|
581 | |
---|
582 | |
---|
583 | #def set_defaults(self): |
---|
584 | # """Set default values for uninitialised quantities. |
---|
585 | # Should be overridden or specialised by specific modules |
---|
586 | # """# |
---|
587 | # |
---|
588 | # for name in self.conserved_quantities + self.other_quantities: |
---|
589 | # self.set_quantity(name, 0.0) |
---|
590 | |
---|
591 | |
---|
592 | ########################### |
---|
593 | #Main components of evolve |
---|
594 | |
---|
595 | def evolve(self, |
---|
596 | yieldstep = None, |
---|
597 | finaltime = None, |
---|
598 | duration = None, |
---|
599 | skip_initial_step = False): |
---|
600 | """Evolve model through time starting from self.starttime. |
---|
601 | |
---|
602 | |
---|
603 | yieldstep: Interval between yields where results are stored, |
---|
604 | statistics written and domain inspected or |
---|
605 | possibly modified. If omitted the internal predefined |
---|
606 | max timestep is used. |
---|
607 | Internally, smaller timesteps may be taken. |
---|
608 | |
---|
609 | duration: Duration of simulation |
---|
610 | |
---|
611 | finaltime: Time where simulation should end |
---|
612 | |
---|
613 | If both duration and finaltime are given an exception is thrown. |
---|
614 | |
---|
615 | |
---|
616 | skip_initial_step: Boolean flag that decides whether the first |
---|
617 | yield step is skipped or not. This is useful for example to avoid |
---|
618 | duplicate steps when multiple evolve processes are dove tailed. |
---|
619 | |
---|
620 | |
---|
621 | Evolve is implemented as a generator and is to be called as such, e.g. |
---|
622 | |
---|
623 | for t in domain.evolve(yieldstep, finaltime): |
---|
624 | <Do something with domain and t> |
---|
625 | |
---|
626 | |
---|
627 | All times are given in seconds |
---|
628 | |
---|
629 | """ |
---|
630 | |
---|
631 | from config import min_timestep, max_timestep, epsilon |
---|
632 | |
---|
633 | #FIXME: Maybe lump into a larger check prior to evolving |
---|
634 | msg = 'Boundary tags must be bound to boundary objects before evolving system, ' |
---|
635 | msg += 'e.g. using the method set_boundary.\n' |
---|
636 | msg += 'This system has the boundary tags %s '\ |
---|
637 | %self.get_boundary_tags() |
---|
638 | assert hasattr(self, 'boundary_objects'), msg |
---|
639 | |
---|
640 | ##self.set_defaults() |
---|
641 | |
---|
642 | if yieldstep is None: |
---|
643 | yieldstep = max_timestep |
---|
644 | else: |
---|
645 | yieldstep = float(yieldstep) |
---|
646 | |
---|
647 | self.order = self.default_order |
---|
648 | |
---|
649 | |
---|
650 | if finaltime is not None and duration is not None: |
---|
651 | print 'F', finaltime, duration |
---|
652 | msg = 'Only one of finaltime and duration may be specified' |
---|
653 | raise msg |
---|
654 | else: |
---|
655 | if finaltime is not None: |
---|
656 | self.finaltime = float(finaltime) |
---|
657 | if duration is not None: |
---|
658 | self.finaltime = self.starttime + float(duration) |
---|
659 | |
---|
660 | |
---|
661 | |
---|
662 | |
---|
663 | self.yieldtime = 0.0 #Time between 'yields' |
---|
664 | |
---|
665 | #Initialise interval of timestep sizes (for reporting only) |
---|
666 | self.min_timestep = max_timestep |
---|
667 | self.max_timestep = min_timestep |
---|
668 | self.number_of_steps = 0 |
---|
669 | self.number_of_first_order_steps = 0 |
---|
670 | |
---|
671 | #update ghosts |
---|
672 | self.update_ghosts() |
---|
673 | |
---|
674 | #Initial update of vertex and edge values |
---|
675 | self.distribute_to_vertices_and_edges() |
---|
676 | |
---|
677 | #Initial update boundary values |
---|
678 | self.update_boundary() |
---|
679 | |
---|
680 | #Or maybe restore from latest checkpoint |
---|
681 | if self.checkpoint is True: |
---|
682 | self.goto_latest_checkpoint() |
---|
683 | |
---|
684 | if skip_initial_step is False: |
---|
685 | yield(self.time) #Yield initial values |
---|
686 | |
---|
687 | while True: |
---|
688 | |
---|
689 | #Compute fluxes across each element edge |
---|
690 | self.compute_fluxes() |
---|
691 | |
---|
692 | #Update timestep to fit yieldstep and finaltime |
---|
693 | self.update_timestep(yieldstep, finaltime) |
---|
694 | |
---|
695 | #Update conserved quantities |
---|
696 | self.update_conserved_quantities() |
---|
697 | |
---|
698 | #update ghosts |
---|
699 | self.update_ghosts() |
---|
700 | |
---|
701 | #Update vertex and edge values |
---|
702 | self.distribute_to_vertices_and_edges() |
---|
703 | |
---|
704 | #Update boundary values |
---|
705 | self.update_boundary() |
---|
706 | |
---|
707 | #Update time |
---|
708 | self.time += self.timestep |
---|
709 | self.yieldtime += self.timestep |
---|
710 | self.number_of_steps += 1 |
---|
711 | if self.order == 1: |
---|
712 | self.number_of_first_order_steps += 1 |
---|
713 | |
---|
714 | #Yield results |
---|
715 | if finaltime is not None and self.time >= finaltime: |
---|
716 | |
---|
717 | if self.time > finaltime: |
---|
718 | #FIXME (Ole, 30 April 2006): Do we need this check? |
---|
719 | print 'WARNING (domain.py): time overshot finaltime. Contact Ole.Nielsen@ga.gov.au' |
---|
720 | self.time = finaltime |
---|
721 | |
---|
722 | # Yield final time and stop |
---|
723 | yield(self.time) |
---|
724 | break |
---|
725 | |
---|
726 | |
---|
727 | if self.yieldtime >= yieldstep: |
---|
728 | # Yield (intermediate) time and allow inspection of domain |
---|
729 | |
---|
730 | if self.checkpoint is True: |
---|
731 | self.store_checkpoint() |
---|
732 | self.delete_old_checkpoints() |
---|
733 | |
---|
734 | #Pass control on to outer loop for more specific actions |
---|
735 | yield(self.time) |
---|
736 | |
---|
737 | # Reinitialise |
---|
738 | self.yieldtime = 0.0 |
---|
739 | self.min_timestep = max_timestep |
---|
740 | self.max_timestep = min_timestep |
---|
741 | self.number_of_steps = 0 |
---|
742 | self.number_of_first_order_steps = 0 |
---|
743 | |
---|
744 | |
---|
745 | def evolve_to_end(self, finaltime = 1.0): |
---|
746 | """Iterate evolve all the way to the end |
---|
747 | """ |
---|
748 | |
---|
749 | for _ in self.evolve(yieldstep=None, finaltime=finaltime): |
---|
750 | pass |
---|
751 | |
---|
752 | |
---|
753 | |
---|
754 | def update_boundary(self): |
---|
755 | """Go through list of boundary objects and update boundary values |
---|
756 | for all conserved quantities on boundary. |
---|
757 | """ |
---|
758 | |
---|
759 | #FIXME: Update only those that change (if that can be worked out) |
---|
760 | #FIXME: Boundary objects should not include ghost nodes. |
---|
761 | for i, ((vol_id, edge_id), B) in enumerate(self.boundary_objects): |
---|
762 | if B is None: |
---|
763 | print 'WARNING: Ignored boundary segment %d (None)' |
---|
764 | else: |
---|
765 | q = B.evaluate(vol_id, edge_id) |
---|
766 | |
---|
767 | for j, name in enumerate(self.conserved_quantities): |
---|
768 | Q = self.quantities[name] |
---|
769 | Q.boundary_values[i] = q[j] |
---|
770 | |
---|
771 | |
---|
772 | def compute_fluxes(self): |
---|
773 | msg = 'Method compute_fluxes must be overridden by Domain subclass' |
---|
774 | raise msg |
---|
775 | |
---|
776 | |
---|
777 | def update_timestep(self, yieldstep, finaltime): |
---|
778 | |
---|
779 | from config import min_timestep, max_timestep |
---|
780 | |
---|
781 | # self.timestep is calculated from speed of characteristics |
---|
782 | # Apply CFL condition here |
---|
783 | timestep = min(self.CFL*self.timestep,max_timestep) |
---|
784 | |
---|
785 | #Record maximal and minimal values of timestep for reporting |
---|
786 | self.max_timestep = max(timestep, self.max_timestep) |
---|
787 | self.min_timestep = min(timestep, self.min_timestep) |
---|
788 | |
---|
789 | #Protect against degenerate time steps |
---|
790 | if timestep < min_timestep: |
---|
791 | |
---|
792 | #Number of consecutive small steps taken b4 taking action |
---|
793 | self.smallsteps += 1 |
---|
794 | |
---|
795 | if self.smallsteps > self.max_smallsteps: |
---|
796 | self.smallsteps = 0 #Reset |
---|
797 | |
---|
798 | if self.order == 1: |
---|
799 | msg = 'WARNING: Too small timestep %.16f reached '\ |
---|
800 | %timestep |
---|
801 | msg += 'even after %d steps of 1 order scheme'\ |
---|
802 | %self.max_smallsteps |
---|
803 | print msg |
---|
804 | timestep = min_timestep #Try enforcing min_step |
---|
805 | |
---|
806 | #raise msg |
---|
807 | else: |
---|
808 | #Try to overcome situation by switching to 1 order |
---|
809 | self.order = 1 |
---|
810 | |
---|
811 | else: |
---|
812 | self.smallsteps = 0 |
---|
813 | if self.order == 1 and self.default_order == 2: |
---|
814 | self.order = 2 |
---|
815 | |
---|
816 | |
---|
817 | #Ensure that final time is not exceeded |
---|
818 | if finaltime is not None and self.time + timestep > finaltime: |
---|
819 | timestep = finaltime-self.time |
---|
820 | |
---|
821 | #Ensure that model time is aligned with yieldsteps |
---|
822 | if self.yieldtime + timestep > yieldstep: |
---|
823 | timestep = yieldstep-self.yieldtime |
---|
824 | |
---|
825 | self.timestep = timestep |
---|
826 | |
---|
827 | |
---|
828 | |
---|
829 | def compute_forcing_terms(self): |
---|
830 | """If there are any forcing functions driving the system |
---|
831 | they should be defined in Domain subclass and appended to |
---|
832 | the list self.forcing_terms |
---|
833 | """ |
---|
834 | |
---|
835 | for f in self.forcing_terms: |
---|
836 | f(self) |
---|
837 | |
---|
838 | |
---|
839 | |
---|
840 | def update_conserved_quantities(self): |
---|
841 | """Update vectors of conserved quantities using previously |
---|
842 | computed fluxes specified forcing functions. |
---|
843 | """ |
---|
844 | |
---|
845 | from Numeric import ones, sum, equal, Float |
---|
846 | |
---|
847 | N = self.number_of_elements |
---|
848 | d = len(self.conserved_quantities) |
---|
849 | |
---|
850 | timestep = self.timestep |
---|
851 | |
---|
852 | #Compute forcing terms |
---|
853 | self.compute_forcing_terms() |
---|
854 | |
---|
855 | #Update conserved_quantities |
---|
856 | for name in self.conserved_quantities: |
---|
857 | Q = self.quantities[name] |
---|
858 | Q.update(timestep) |
---|
859 | |
---|
860 | #Clean up |
---|
861 | #Note that Q.explicit_update is reset by compute_fluxes |
---|
862 | |
---|
863 | #MH090605 commented out the following since semi_implicit_update is now re-initialized |
---|
864 | #at the end of the _update function in quantity_ext.c (This is called by the |
---|
865 | #preceeding Q.update(timestep) statement above). |
---|
866 | #For run_profile.py with N=128, the time of update_conserved_quantities is cut from 14.00 secs |
---|
867 | #to 8.35 secs |
---|
868 | |
---|
869 | #Q.semi_implicit_update[:] = 0.0 |
---|
870 | |
---|
871 | def update_ghosts(self): |
---|
872 | pass |
---|
873 | |
---|
874 | def distribute_to_vertices_and_edges(self): |
---|
875 | """Extrapolate conserved quantities from centroid to |
---|
876 | vertices and edge-midpoints for each volume |
---|
877 | |
---|
878 | Default implementation is straight first order, |
---|
879 | i.e. constant values throughout each element and |
---|
880 | no reference to non-conserved quantities. |
---|
881 | """ |
---|
882 | |
---|
883 | for name in self.conserved_quantities: |
---|
884 | Q = self.quantities[name] |
---|
885 | if self.order == 1: |
---|
886 | Q.extrapolate_first_order() |
---|
887 | elif self.order == 2: |
---|
888 | Q.extrapolate_second_order() |
---|
889 | Q.limit() |
---|
890 | else: |
---|
891 | raise 'Unknown order' |
---|
892 | Q.interpolate_from_vertices_to_edges() |
---|
893 | |
---|
894 | |
---|
895 | def centroid_norm(self, quantity, normfunc): |
---|
896 | """Calculate the norm of the centroid values |
---|
897 | of a specific quantity, using normfunc. |
---|
898 | |
---|
899 | normfunc should take a list to a float. |
---|
900 | |
---|
901 | common normfuncs are provided in the module utilities.norms |
---|
902 | """ |
---|
903 | return normfunc(self.quantities[quantity].centroid_values) |
---|
904 | |
---|
905 | |
---|
906 | |
---|
907 | ############################################## |
---|
908 | #Initialise module |
---|
909 | |
---|
910 | #Optimisation with psyco |
---|
911 | from config import use_psyco |
---|
912 | if use_psyco: |
---|
913 | try: |
---|
914 | import psyco |
---|
915 | except: |
---|
916 | import os |
---|
917 | if os.name == 'posix' and os.uname()[4] == 'x86_64': |
---|
918 | pass |
---|
919 | #Psyco isn't supported on 64 bit systems, but it doesn't matter |
---|
920 | else: |
---|
921 | msg = 'WARNING: psyco (speedup) could not import'+\ |
---|
922 | ', you may want to consider installing it' |
---|
923 | print msg |
---|
924 | else: |
---|
925 | psyco.bind(Domain.update_boundary) |
---|
926 | #psyco.bind(Domain.update_timestep) #Not worth it |
---|
927 | psyco.bind(Domain.update_conserved_quantities) |
---|
928 | psyco.bind(Domain.distribute_to_vertices_and_edges) |
---|
929 | |
---|
930 | |
---|
931 | if __name__ == "__main__": |
---|
932 | pass |
---|