1 | """ |
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2 | Finite-volume computations of the shallow water wave equation. |
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3 | |
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4 | Title: ANGUA shallow_water_domain - 2D triangular domains for finite-volume |
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5 | computations of the shallow water wave equation. |
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6 | |
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7 | |
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8 | Author: Ole Nielsen, Ole.Nielsen@ga.gov.au |
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9 | Stephen Roberts, Stephen.Roberts@anu.edu.au |
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10 | Duncan Gray, Duncan.Gray@ga.gov.au |
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11 | |
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12 | CreationDate: 2004 |
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13 | |
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14 | Description: |
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15 | This module contains a specialisation of class Domain from |
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16 | module domain.py consisting of methods specific to the |
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17 | Shallow Water Wave Equation |
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18 | |
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19 | U_t + E_x + G_y = S |
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20 | |
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21 | where |
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22 | |
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23 | U = [w, uh, vh] |
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24 | E = [uh, u^2h + gh^2/2, uvh] |
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25 | G = [vh, uvh, v^2h + gh^2/2] |
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26 | S represents source terms forcing the system |
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27 | (e.g. gravity, friction, wind stress, ...) |
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28 | |
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29 | and _t, _x, _y denote the derivative with respect to t, x and y |
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30 | respectively. |
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31 | |
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32 | |
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33 | The quantities are |
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34 | |
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35 | symbol variable name explanation |
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36 | x x horizontal distance from origin [m] |
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37 | y y vertical distance from origin [m] |
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38 | z elevation elevation of bed on which flow is modelled [m] |
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39 | h height water height above z [m] |
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40 | w stage absolute water level, w = z+h [m] |
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41 | u speed in the x direction [m/s] |
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42 | v speed in the y direction [m/s] |
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43 | uh xmomentum momentum in the x direction [m^2/s] |
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44 | vh ymomentum momentum in the y direction [m^2/s] |
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45 | |
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46 | eta mannings friction coefficient [to appear] |
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47 | nu wind stress coefficient [to appear] |
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48 | |
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49 | The conserved quantities are w, uh, vh |
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50 | |
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51 | Reference: |
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52 | Catastrophic Collapse of Water Supply Reservoirs in Urban Areas, |
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53 | Christopher Zoppou and Stephen Roberts, |
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54 | Journal of Hydraulic Engineering, vol. 127, No. 7 July 1999 |
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55 | |
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56 | Hydrodynamic modelling of coastal inundation. |
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57 | Nielsen, O., S. Roberts, D. Gray, A. McPherson and A. Hitchman |
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58 | In Zerger, A. and Argent, R.M. (eds) MODSIM 2005 International Congress on |
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59 | Modelling and Simulation. Modelling and Simulation Society of Australia and |
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60 | New Zealand, December 2005, pp. 518-523. ISBN: 0-9758400-2-9. |
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61 | http://www.mssanz.org.au/modsim05/papers/nielsen.pdf |
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62 | |
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63 | |
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64 | SeeAlso: |
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65 | TRAC administration of ANUGA (User Manuals etc) at |
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66 | https://datamining.anu.edu.au/anuga and Subversion repository at |
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67 | $HeadURL: https://datamining.anu.edu.au/svn/anuga/trunk/anuga_core/source/ |
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68 | anuga/shallow_water/shallow_water_domain.py $ |
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69 | |
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70 | Constraints: See GPL license in the user guide |
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71 | Version: 1.0 ($Revision: 8124 $) |
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72 | ModifiedBy: |
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73 | $Author: wilsonr $ |
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74 | $Date: 2011-03-03 07:04:03 +0000 (Thu, 03 Mar 2011) $ |
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75 | """ |
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76 | |
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77 | |
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78 | import numpy as num |
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79 | |
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80 | from anuga.abstract_2d_finite_volumes.generic_domain \ |
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81 | import Generic_Domain |
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82 | |
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83 | from anuga.shallow_water.forcing import Cross_section |
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84 | from anuga.utilities.numerical_tools import mean |
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85 | from anuga.file.sww import SWW_file |
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86 | |
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87 | import anuga.utilities.log as log |
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88 | |
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89 | import types |
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90 | |
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91 | class Domain(Generic_Domain): |
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92 | """ Class for a shallow water domain.""" |
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93 | def __init__(self, |
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94 | coordinates=None, |
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95 | vertices=None, |
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96 | boundary=None, |
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97 | tagged_elements=None, |
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98 | geo_reference=None, |
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99 | use_inscribed_circle=False, |
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100 | mesh_filename=None, |
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101 | use_cache=False, |
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102 | verbose=False, |
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103 | conserved_quantities = None, |
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104 | evolved_quantities = None, |
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105 | other_quantities = None, |
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106 | full_send_dict=None, |
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107 | ghost_recv_dict=None, |
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108 | starttime=0, |
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109 | processor=0, |
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110 | numproc=1, |
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111 | number_of_full_nodes=None, |
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112 | number_of_full_triangles=None): |
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113 | """ |
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114 | Instantiate a shallow water domain. |
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115 | coordinates - vertex locations for the mesh |
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116 | vertices - vertex indices for the mesh |
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117 | boundary - boundaries of the mesh |
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118 | # @param tagged_elements |
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119 | # @param geo_reference |
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120 | # @param use_inscribed_circle |
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121 | # @param mesh_filename |
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122 | # @param use_cache |
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123 | # @param verbose |
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124 | # @param evolved_quantities |
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125 | # @param full_send_dict |
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126 | # @param ghost_recv_dict |
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127 | # @param processor |
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128 | # @param numproc |
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129 | # @param number_of_full_nodes |
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130 | # @param number_of_full_triangles |
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131 | """ |
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132 | |
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133 | # Define quantities for the shallow_water domain |
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134 | if conserved_quantities == None: |
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135 | conserved_quantities = ['stage', 'xmomentum', 'ymomentum'] |
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136 | |
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137 | if evolved_quantities == None: |
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138 | evolved_quantities = ['stage', 'xmomentum', 'ymomentum'] |
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139 | |
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140 | if other_quantities == None: |
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141 | other_quantities = ['elevation', 'friction'] |
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142 | |
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143 | |
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144 | Generic_Domain.__init__(self, |
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145 | coordinates, |
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146 | vertices, |
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147 | boundary, |
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148 | conserved_quantities, |
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149 | evolved_quantities, |
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150 | other_quantities, |
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151 | tagged_elements, |
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152 | geo_reference, |
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153 | use_inscribed_circle, |
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154 | mesh_filename, |
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155 | use_cache, |
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156 | verbose, |
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157 | full_send_dict, |
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158 | ghost_recv_dict, |
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159 | starttime, |
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160 | processor, |
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161 | numproc, |
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162 | number_of_full_nodes=number_of_full_nodes, |
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163 | number_of_full_triangles=number_of_full_triangles) |
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164 | |
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165 | self.set_defaults() |
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166 | |
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167 | |
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168 | self.forcing_terms.append(manning_friction_implicit) |
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169 | self.forcing_terms.append(gravity) |
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170 | |
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171 | |
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172 | self.fractional_step_operators = [] |
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173 | |
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174 | # Stored output |
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175 | self.set_store(True) |
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176 | self.set_store_vertices_uniquely(False) |
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177 | self.quantities_to_be_stored = {'elevation': 1, |
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178 | 'stage': 2, |
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179 | 'xmomentum': 2, |
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180 | 'ymomentum': 2} |
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181 | |
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182 | |
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183 | def set_defaults(self): |
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184 | """Set the default values in this routine. That way we can inherit class |
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185 | and just over redefine the defaults for the new class |
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186 | """ |
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187 | |
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188 | from anuga.config import minimum_storable_height |
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189 | from anuga.config import minimum_allowed_height, maximum_allowed_speed |
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190 | from anuga.config import g, beta_w, beta_w_dry, \ |
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191 | beta_uh, beta_uh_dry, beta_vh, beta_vh_dry, tight_slope_limiters |
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192 | from anuga.config import alpha_balance |
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193 | from anuga.config import optimise_dry_cells |
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194 | from anuga.config import optimised_gradient_limiter |
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195 | from anuga.config import use_edge_limiter |
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196 | from anuga.config import use_centroid_velocities |
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197 | |
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198 | self.set_minimum_allowed_height(minimum_allowed_height) |
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199 | self.maximum_allowed_speed = maximum_allowed_speed |
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200 | |
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201 | self.g = g |
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202 | self.beta_w = beta_w |
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203 | self.beta_w_dry = beta_w_dry |
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204 | self.beta_uh = beta_uh |
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205 | self.beta_uh_dry = beta_uh_dry |
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206 | self.beta_vh = beta_vh |
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207 | self.beta_vh_dry = beta_vh_dry |
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208 | self.alpha_balance = alpha_balance |
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209 | |
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210 | self.tight_slope_limiters = tight_slope_limiters |
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211 | self.optimise_dry_cells = optimise_dry_cells |
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212 | |
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213 | |
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214 | self.set_sloped_mannings_function(False) |
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215 | |
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216 | self.minimum_storable_height = minimum_storable_height |
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217 | |
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218 | # Limiters |
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219 | self.use_edge_limiter = use_edge_limiter |
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220 | self.optimised_gradient_limiter = optimised_gradient_limiter |
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221 | self.use_centroid_velocities = use_centroid_velocities |
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222 | |
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223 | |
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224 | def set_store(self, flag=True): |
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225 | """Set whether data saved to sww file. |
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226 | """ |
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227 | |
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228 | self.store = flag |
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229 | |
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230 | |
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231 | def set_sloped_mannings_function(self, flag=True): |
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232 | """Set mannings friction function to use the sloped |
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233 | wetted area. |
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234 | The flag is tested in the python wrapper |
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235 | mannings_friction_implicit |
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236 | """ |
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237 | if flag: |
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238 | self.use_sloped_mannings = True |
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239 | else: |
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240 | self.use_sloped_mannings = False |
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241 | |
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242 | |
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243 | def set_use_edge_limiter(self, flag=True): |
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244 | """Cludge to allow unit test to pass, but to |
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245 | also introduce new edge limiting. The flag is |
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246 | tested in distribute_to_vertices_and_edges |
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247 | """ |
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248 | if flag: |
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249 | self.use_edge_limiter = True |
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250 | else: |
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251 | self.use_edge_limiter = False |
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252 | |
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253 | |
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254 | def set_beta(self, beta): |
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255 | """Shorthand to assign one constant value [0,2] to all limiters. |
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256 | 0 Corresponds to first order, where as larger values make use of |
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257 | the second order scheme. |
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258 | """ |
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259 | |
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260 | self.beta_w = beta |
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261 | self.beta_w_dry = beta |
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262 | self.quantities['stage'].beta = beta |
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263 | |
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264 | self.beta_uh = beta |
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265 | self.beta_uh_dry = beta |
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266 | self.quantities['xmomentum'].beta = beta |
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267 | |
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268 | self.beta_vh = beta |
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269 | self.beta_vh_dry = beta |
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270 | self.quantities['ymomentum'].beta = beta |
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271 | |
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272 | |
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273 | def set_store_vertices_uniquely(self, flag=True, reduction=None): |
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274 | """Decide whether vertex values should be stored uniquely as |
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275 | computed in the model (True) or whether they should be reduced to one |
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276 | value per vertex using self.reduction (False). |
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277 | """ |
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278 | |
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279 | # FIXME (Ole): how about using the word "continuous vertex values" or |
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280 | # "continuous stage surface" |
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281 | self.smooth = not flag |
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282 | |
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283 | # Reduction operation for get_vertex_values |
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284 | if reduction is None: |
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285 | self.reduction = mean |
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286 | #self.reduction = min #Looks better near steep slopes |
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287 | |
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288 | def set_store_vertices_smoothly(self, flag=True, reduction=None): |
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289 | """Decide whether vertex values should be stored smoothly (one value per vertex) |
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290 | or uniquely as |
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291 | computed in the model (False) |
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292 | """ |
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293 | |
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294 | # FIXME (Ole): how about using the word "continuous vertex values" or |
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295 | # "continuous stage surface" |
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296 | self.smooth = flag |
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297 | |
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298 | # Reduction operation for get_vertex_values |
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299 | if reduction is None: |
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300 | self.reduction = mean |
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301 | #self.reduction = min #Looks better near steep slopes |
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302 | |
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303 | def set_minimum_storable_height(self, minimum_storable_height): |
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304 | """Set the minimum depth that will be written to an SWW file. |
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305 | |
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306 | minimum_storable_height minimum allowed SWW depth is in meters |
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307 | |
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308 | This is useful for removing thin water layers that seems to be caused |
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309 | by friction creep. |
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310 | """ |
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311 | |
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312 | self.minimum_storable_height = minimum_storable_height |
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313 | |
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314 | def set_minimum_allowed_height(self, minimum_allowed_height): |
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315 | """Set minimum depth that will be recognised in the numerical scheme. |
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316 | |
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317 | minimum_allowed_height minimum allowed depth in meters |
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318 | |
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319 | The parameter H0 (Minimal height for flux computation) is also set by |
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320 | this function. |
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321 | """ |
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322 | |
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323 | #FIXME (Ole): rename H0 to minimum_allowed_height_in_flux_computation |
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324 | |
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325 | #FIXME (Ole): Maybe use histogram to identify isolated extreme speeds |
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326 | #and deal with them adaptively similarly to how we used to use 1 order |
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327 | #steps to recover. |
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328 | |
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329 | self.minimum_allowed_height = minimum_allowed_height |
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330 | self.H0 = minimum_allowed_height |
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331 | |
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332 | def set_maximum_allowed_speed(self, maximum_allowed_speed): |
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333 | """Set the maximum particle speed that is allowed in water shallower |
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334 | than minimum_allowed_height. |
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335 | |
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336 | maximum_allowed_speed |
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337 | |
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338 | This is useful for controlling speeds in very thin layers of water and |
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339 | at the same time allow some movement avoiding pooling of water. |
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340 | """ |
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341 | |
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342 | self.maximum_allowed_speed = maximum_allowed_speed |
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343 | |
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344 | def set_points_file_block_line_size(self, points_file_block_line_size): |
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345 | """ |
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346 | """ |
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347 | |
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348 | self.points_file_block_line_size = points_file_block_line_size |
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349 | |
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350 | |
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351 | # FIXME: Probably obsolete in its curren form |
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352 | def set_quantities_to_be_stored(self, q): |
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353 | """Specify which quantities will be stored in the SWW file. |
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354 | |
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355 | q must be either: |
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356 | - a dictionary with quantity names |
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357 | - a list of quantity names (for backwards compatibility) |
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358 | - None |
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359 | |
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360 | The format of the dictionary is as follows |
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361 | |
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362 | quantity_name: flag where flag must be either 1 or 2. |
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363 | If flag is 1, the quantity is considered static and will be |
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364 | stored once at the beginning of the simulation in a 1D array. |
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365 | |
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366 | If flag is 2, the quantity is considered time dependent and |
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367 | it will be stored at each yieldstep by appending it to the |
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368 | appropriate 2D array in the sww file. |
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369 | |
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370 | If q is None, storage will be switched off altogether. |
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371 | |
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372 | Once the simulation has started and thw sww file opened, |
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373 | this function will have no effect. |
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374 | |
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375 | The format, where q is a list of names is for backwards compatibility |
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376 | only. |
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377 | It will take the specified quantities to be time dependent and assume |
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378 | 'elevation' to be static regardless. |
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379 | """ |
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380 | |
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381 | if q is None: |
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382 | self.quantities_to_be_stored = {} |
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383 | self.store = False |
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384 | return |
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385 | |
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386 | # Check correctness |
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387 | for quantity_name in q: |
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388 | msg = ('Quantity %s is not a valid conserved quantity' |
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389 | % quantity_name) |
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390 | assert quantity_name in self.quantities, msg |
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391 | |
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392 | assert type(q) == types.DictType |
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393 | self.quantities_to_be_stored = q |
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394 | |
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395 | def get_wet_elements(self, indices=None): |
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396 | """Return indices for elements where h > minimum_allowed_height |
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397 | |
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398 | Optional argument: |
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399 | indices is the set of element ids that the operation applies to. |
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400 | |
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401 | Usage: |
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402 | indices = get_wet_elements() |
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403 | |
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404 | Note, centroid values are used for this operation |
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405 | """ |
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406 | |
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407 | # Water depth below which it is considered to be 0 in the model |
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408 | # FIXME (Ole): Allow this to be specified as a keyword argument as well |
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409 | from anuga.config import minimum_allowed_height |
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410 | |
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411 | elevation = self.get_quantity('elevation').\ |
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412 | get_values(location='centroids', indices=indices) |
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413 | stage = self.get_quantity('stage').\ |
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414 | get_values(location='centroids', indices=indices) |
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415 | depth = stage - elevation |
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416 | |
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417 | # Select indices for which depth > 0 |
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418 | wet_indices = num.compress(depth > minimum_allowed_height, |
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419 | num.arange(len(depth))) |
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420 | return wet_indices |
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421 | |
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422 | def get_maximum_inundation_elevation(self, indices=None): |
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423 | """Return highest elevation where h > 0 |
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424 | |
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425 | Optional argument: |
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426 | indices is the set of element ids that the operation applies to. |
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427 | |
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428 | Usage: |
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429 | q = get_maximum_inundation_elevation() |
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430 | |
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431 | Note, centroid values are used for this operation |
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432 | """ |
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433 | |
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434 | wet_elements = self.get_wet_elements(indices) |
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435 | return self.get_quantity('elevation').\ |
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436 | get_maximum_value(indices=wet_elements) |
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437 | |
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438 | def get_maximum_inundation_location(self, indices=None): |
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439 | """Return location of highest elevation where h > 0 |
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440 | |
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441 | Optional argument: |
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442 | indices is the set of element ids that the operation applies to. |
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443 | |
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444 | Usage: |
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445 | q = get_maximum_inundation_location() |
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446 | |
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447 | Note, centroid values are used for this operation |
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448 | """ |
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449 | |
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450 | wet_elements = self.get_wet_elements(indices) |
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451 | return self.get_quantity('elevation').\ |
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452 | get_maximum_location(indices=wet_elements) |
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453 | |
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454 | |
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455 | def get_flow_through_cross_section(self, polyline, verbose=False): |
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456 | """Get the total flow through an arbitrary poly line. |
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457 | |
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458 | This is a run-time equivalent of the function with same name |
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459 | in sww_interrogate.py |
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460 | |
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461 | Input: |
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462 | polyline: Representation of desired cross section - it may contain |
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463 | multiple sections allowing for complex shapes. Assume |
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464 | absolute UTM coordinates. |
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465 | Format [[x0, y0], [x1, y1], ...] |
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466 | |
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467 | Output: |
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468 | Q: Total flow [m^3/s] across given segments. |
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469 | """ |
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470 | |
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471 | |
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472 | cross_section = Cross_section(self, polyline, verbose) |
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473 | |
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474 | return cross_section.get_flow_through_cross_section() |
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475 | |
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476 | |
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477 | def get_energy_through_cross_section(self, polyline, |
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478 | kind='total', |
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479 | verbose=False): |
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480 | """Obtain average energy head [m] across specified cross section. |
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481 | |
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482 | Inputs: |
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483 | polyline: Representation of desired cross section - it may contain |
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484 | multiple sections allowing for complex shapes. Assume |
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485 | absolute UTM coordinates. |
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486 | Format [[x0, y0], [x1, y1], ...] |
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487 | kind: Select which energy to compute. |
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488 | Options are 'specific' and 'total' (default) |
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489 | |
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490 | Output: |
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491 | E: Average energy [m] across given segments for all stored times. |
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492 | |
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493 | The average velocity is computed for each triangle intersected by |
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494 | the polyline and averaged weighted by segment lengths. |
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495 | |
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496 | The typical usage of this function would be to get average energy of |
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497 | flow in a channel, and the polyline would then be a cross section |
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498 | perpendicular to the flow. |
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499 | |
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500 | #FIXME (Ole) - need name for this energy reflecting that its dimension |
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501 | is [m]. |
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502 | """ |
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503 | |
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504 | |
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505 | |
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506 | cross_section = Cross_section(self, polyline, verbose) |
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507 | |
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508 | return cross_section.get_energy_through_cross_section(kind) |
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509 | |
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510 | |
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511 | def check_integrity(self): |
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512 | """ Run integrity checks on shallow water domain. """ |
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513 | Generic_Domain.check_integrity(self) |
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514 | |
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515 | #Check that we are solving the shallow water wave equation |
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516 | msg = 'First conserved quantity must be "stage"' |
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517 | assert self.conserved_quantities[0] == 'stage', msg |
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518 | msg = 'Second conserved quantity must be "xmomentum"' |
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519 | assert self.conserved_quantities[1] == 'xmomentum', msg |
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520 | msg = 'Third conserved quantity must be "ymomentum"' |
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521 | assert self.conserved_quantities[2] == 'ymomentum', msg |
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522 | |
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523 | def extrapolate_second_order_sw(self): |
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524 | """Call correct module function |
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525 | (either from this module or C-extension)""" |
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526 | extrapolate_second_order_sw(self) |
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527 | |
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528 | def compute_fluxes(self): |
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529 | """Call correct module function |
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530 | (either from this module or C-extension)""" |
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531 | compute_fluxes(self) |
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532 | |
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533 | |
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534 | def distribute_to_vertices_and_edges(self): |
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535 | """ Call correct module function """ |
---|
536 | if self.use_edge_limiter: |
---|
537 | distribute_using_edge_limiter(self) |
---|
538 | else: |
---|
539 | distribute_using_vertex_limiter(self) |
---|
540 | |
---|
541 | |
---|
542 | |
---|
543 | def evolve(self, |
---|
544 | yieldstep=None, |
---|
545 | finaltime=None, |
---|
546 | duration=None, |
---|
547 | skip_initial_step=False): |
---|
548 | """Specialisation of basic evolve method from parent class. |
---|
549 | |
---|
550 | Evolve the model by 1 step. |
---|
551 | """ |
---|
552 | |
---|
553 | # Call check integrity here rather than from user scripts |
---|
554 | # self.check_integrity() |
---|
555 | |
---|
556 | msg = 'Attribute self.beta_w must be in the interval [0, 2]' |
---|
557 | assert 0 <= self.beta_w <= 2.0, msg |
---|
558 | |
---|
559 | # Initial update of vertex and edge values before any STORAGE |
---|
560 | # and or visualisation. |
---|
561 | # This is done again in the initialisation of the Generic_Domain |
---|
562 | # evolve loop but we do it here to ensure the values are ok for storage. |
---|
563 | self.distribute_to_vertices_and_edges() |
---|
564 | |
---|
565 | if self.store is True and self.get_time() == self.get_starttime(): |
---|
566 | self.initialise_storage() |
---|
567 | |
---|
568 | # Call basic machinery from parent class |
---|
569 | for t in Generic_Domain.evolve(self, yieldstep=yieldstep, |
---|
570 | finaltime=finaltime, duration=duration, |
---|
571 | skip_initial_step=skip_initial_step): |
---|
572 | # Store model data, e.g. for subsequent visualisation |
---|
573 | if self.store is True: |
---|
574 | self.store_timestep() |
---|
575 | |
---|
576 | # Pass control on to outer loop for more specific actions |
---|
577 | yield(t) |
---|
578 | |
---|
579 | |
---|
580 | def initialise_storage(self): |
---|
581 | """Create and initialise self.writer object for storing data. |
---|
582 | Also, save x,y and bed elevation |
---|
583 | """ |
---|
584 | |
---|
585 | # Initialise writer |
---|
586 | self.writer = SWW_file(self) |
---|
587 | |
---|
588 | # Store vertices and connectivity |
---|
589 | self.writer.store_connectivity() |
---|
590 | |
---|
591 | |
---|
592 | def store_timestep(self): |
---|
593 | """Store time dependent quantities and time. |
---|
594 | |
---|
595 | Precondition: |
---|
596 | self.writer has been initialised |
---|
597 | """ |
---|
598 | |
---|
599 | self.writer.store_timestep() |
---|
600 | |
---|
601 | |
---|
602 | def timestepping_statistics(self, |
---|
603 | track_speeds=False, |
---|
604 | triangle_id=None): |
---|
605 | """Return string with time stepping statistics for printing or logging |
---|
606 | |
---|
607 | Optional boolean keyword track_speeds decides whether to report |
---|
608 | location of smallest timestep as well as a histogram and percentile |
---|
609 | report. |
---|
610 | """ |
---|
611 | |
---|
612 | from anuga.config import epsilon, g |
---|
613 | |
---|
614 | # Call basic machinery from parent class |
---|
615 | msg = Generic_Domain.timestepping_statistics(self, track_speeds, |
---|
616 | triangle_id) |
---|
617 | |
---|
618 | if track_speeds is True: |
---|
619 | # qwidth determines the text field used for quantities |
---|
620 | qwidth = self.qwidth |
---|
621 | |
---|
622 | # Selected triangle |
---|
623 | k = self.k |
---|
624 | |
---|
625 | # Report some derived quantities at vertices, edges and centroid |
---|
626 | # specific to the shallow water wave equation |
---|
627 | z = self.quantities['elevation'] |
---|
628 | w = self.quantities['stage'] |
---|
629 | |
---|
630 | Vw = w.get_values(location='vertices', indices=[k])[0] |
---|
631 | Ew = w.get_values(location='edges', indices=[k])[0] |
---|
632 | Cw = w.get_values(location='centroids', indices=[k]) |
---|
633 | |
---|
634 | Vz = z.get_values(location='vertices', indices=[k])[0] |
---|
635 | Ez = z.get_values(location='edges', indices=[k])[0] |
---|
636 | Cz = z.get_values(location='centroids', indices=[k]) |
---|
637 | |
---|
638 | name = 'depth' |
---|
639 | Vh = Vw-Vz |
---|
640 | Eh = Ew-Ez |
---|
641 | Ch = Cw-Cz |
---|
642 | |
---|
643 | message = ' %s: vertex_values = %.4f,\t %.4f,\t %.4f\n'\ |
---|
644 | % (name.ljust(qwidth), Vh[0], Vh[1], Vh[2]) |
---|
645 | |
---|
646 | message += ' %s: edge_values = %.4f,\t %.4f,\t %.4f\n'\ |
---|
647 | % (name.ljust(qwidth), Eh[0], Eh[1], Eh[2]) |
---|
648 | |
---|
649 | message += ' %s: centroid_value = %.4f\n'\ |
---|
650 | % (name.ljust(qwidth), Ch[0]) |
---|
651 | |
---|
652 | msg += message |
---|
653 | |
---|
654 | uh = self.quantities['xmomentum'] |
---|
655 | vh = self.quantities['ymomentum'] |
---|
656 | |
---|
657 | Vuh = uh.get_values(location='vertices', indices=[k])[0] |
---|
658 | Euh = uh.get_values(location='edges', indices=[k])[0] |
---|
659 | Cuh = uh.get_values(location='centroids', indices=[k]) |
---|
660 | |
---|
661 | Vvh = vh.get_values(location='vertices', indices=[k])[0] |
---|
662 | Evh = vh.get_values(location='edges', indices=[k])[0] |
---|
663 | Cvh = vh.get_values(location='centroids', indices=[k]) |
---|
664 | |
---|
665 | # Speeds in each direction |
---|
666 | Vu = Vuh/(Vh + epsilon) |
---|
667 | Eu = Euh/(Eh + epsilon) |
---|
668 | Cu = Cuh/(Ch + epsilon) |
---|
669 | name = 'U' |
---|
670 | message = ' %s: vertex_values = %.4f,\t %.4f,\t %.4f\n' \ |
---|
671 | % (name.ljust(qwidth), Vu[0], Vu[1], Vu[2]) |
---|
672 | |
---|
673 | message += ' %s: edge_values = %.4f,\t %.4f,\t %.4f\n' \ |
---|
674 | % (name.ljust(qwidth), Eu[0], Eu[1], Eu[2]) |
---|
675 | |
---|
676 | message += ' %s: centroid_value = %.4f\n' \ |
---|
677 | % (name.ljust(qwidth), Cu[0]) |
---|
678 | |
---|
679 | msg += message |
---|
680 | |
---|
681 | Vv = Vvh/(Vh + epsilon) |
---|
682 | Ev = Evh/(Eh + epsilon) |
---|
683 | Cv = Cvh/(Ch + epsilon) |
---|
684 | name = 'V' |
---|
685 | message = ' %s: vertex_values = %.4f,\t %.4f,\t %.4f\n' \ |
---|
686 | % (name.ljust(qwidth), Vv[0], Vv[1], Vv[2]) |
---|
687 | |
---|
688 | message += ' %s: edge_values = %.4f,\t %.4f,\t %.4f\n' \ |
---|
689 | % (name.ljust(qwidth), Ev[0], Ev[1], Ev[2]) |
---|
690 | |
---|
691 | message += ' %s: centroid_value = %.4f\n'\ |
---|
692 | %(name.ljust(qwidth), Cv[0]) |
---|
693 | |
---|
694 | msg += message |
---|
695 | |
---|
696 | # Froude number in each direction |
---|
697 | name = 'Froude (x)' |
---|
698 | Vfx = Vu/(num.sqrt(g*Vh) + epsilon) |
---|
699 | Efx = Eu/(num.sqrt(g*Eh) + epsilon) |
---|
700 | Cfx = Cu/(num.sqrt(g*Ch) + epsilon) |
---|
701 | |
---|
702 | message = ' %s: vertex_values = %.4f,\t %.4f,\t %.4f\n'\ |
---|
703 | % (name.ljust(qwidth), Vfx[0], Vfx[1], Vfx[2]) |
---|
704 | |
---|
705 | message += ' %s: edge_values = %.4f,\t %.4f,\t %.4f\n'\ |
---|
706 | % (name.ljust(qwidth), Efx[0], Efx[1], Efx[2]) |
---|
707 | |
---|
708 | message += ' %s: centroid_value = %.4f\n'\ |
---|
709 | % (name.ljust(qwidth), Cfx[0]) |
---|
710 | |
---|
711 | msg += message |
---|
712 | |
---|
713 | name = 'Froude (y)' |
---|
714 | Vfy = Vv/(num.sqrt(g*Vh) + epsilon) |
---|
715 | Efy = Ev/(num.sqrt(g*Eh) + epsilon) |
---|
716 | Cfy = Cv/(num.sqrt(g*Ch) + epsilon) |
---|
717 | |
---|
718 | message = ' %s: vertex_values = %.4f,\t %.4f,\t %.4f\n'\ |
---|
719 | % (name.ljust(qwidth), Vfy[0], Vfy[1], Vfy[2]) |
---|
720 | |
---|
721 | message += ' %s: edge_values = %.4f,\t %.4f,\t %.4f\n'\ |
---|
722 | % (name.ljust(qwidth), Efy[0], Efy[1], Efy[2]) |
---|
723 | |
---|
724 | message += ' %s: centroid_value = %.4f\n'\ |
---|
725 | % (name.ljust(qwidth), Cfy[0]) |
---|
726 | |
---|
727 | msg += message |
---|
728 | |
---|
729 | return msg |
---|
730 | |
---|
731 | |
---|
732 | |
---|
733 | def compute_boundary_flows(self): |
---|
734 | """Compute boundary flows at current timestep. |
---|
735 | |
---|
736 | Quantities computed are: |
---|
737 | Total inflow across boundary |
---|
738 | Total outflow across boundary |
---|
739 | Flow across each tagged boundary segment |
---|
740 | """ |
---|
741 | |
---|
742 | # Run through boundary array and compute for each segment |
---|
743 | # the normal momentum ((uh, vh) dot normal) times segment length. |
---|
744 | # Based on sign accumulate this into boundary_inflow and |
---|
745 | # boundary_outflow. |
---|
746 | |
---|
747 | # Compute flows along boundary |
---|
748 | |
---|
749 | uh = self.get_quantity('xmomentum').get_values(location='edges') |
---|
750 | vh = self.get_quantity('ymomentum').get_values(location='edges') |
---|
751 | |
---|
752 | # Loop through edges that lie on the boundary and calculate |
---|
753 | # flows |
---|
754 | boundary_flows = {} |
---|
755 | total_boundary_inflow = 0.0 |
---|
756 | total_boundary_outflow = 0.0 |
---|
757 | for vol_id, edge_id in self.boundary: |
---|
758 | # Compute normal flow across edge. Since normal vector points |
---|
759 | # away from triangle, a positive sign means that water |
---|
760 | # flows *out* from this triangle. |
---|
761 | |
---|
762 | momentum = [uh[vol_id, edge_id], vh[vol_id, edge_id]] |
---|
763 | normal = self.mesh.get_normal(vol_id, edge_id) |
---|
764 | length = self.mesh.get_edgelength(vol_id, edge_id) |
---|
765 | normal_flow = num.dot(momentum, normal)*length |
---|
766 | |
---|
767 | # Reverse sign so that + is taken to mean inflow |
---|
768 | # and - means outflow. This is more intuitive. |
---|
769 | edge_flow = -normal_flow |
---|
770 | |
---|
771 | # Tally up inflows and outflows separately |
---|
772 | if edge_flow > 0: |
---|
773 | # Flow is inflow |
---|
774 | total_boundary_inflow += edge_flow |
---|
775 | else: |
---|
776 | # Flow is outflow |
---|
777 | total_boundary_outflow += edge_flow |
---|
778 | |
---|
779 | # Tally up flows by boundary tag |
---|
780 | tag = self.boundary[(vol_id, edge_id)] |
---|
781 | |
---|
782 | if tag not in boundary_flows: |
---|
783 | boundary_flows[tag] = 0.0 |
---|
784 | boundary_flows[tag] += edge_flow |
---|
785 | |
---|
786 | |
---|
787 | return boundary_flows, total_boundary_inflow, total_boundary_outflow |
---|
788 | |
---|
789 | |
---|
790 | def compute_forcing_flows(self): |
---|
791 | """Compute flows in and out of domain due to forcing terms. |
---|
792 | |
---|
793 | Quantities computed are: |
---|
794 | |
---|
795 | |
---|
796 | Total inflow through forcing terms |
---|
797 | Total outflow through forcing terms |
---|
798 | Current total volume in domain |
---|
799 | |
---|
800 | """ |
---|
801 | |
---|
802 | #FIXME(Ole): We need to separate what part of explicit_update was |
---|
803 | # due to the normal flux calculations and what is due to forcing terms. |
---|
804 | |
---|
805 | pass |
---|
806 | |
---|
807 | |
---|
808 | def compute_total_volume(self): |
---|
809 | """Compute total volume (m^3) of water in entire domain |
---|
810 | """ |
---|
811 | |
---|
812 | area = self.mesh.get_areas() |
---|
813 | |
---|
814 | stage = self.get_quantity('stage').get_values(location='centroids') |
---|
815 | elevation = \ |
---|
816 | self.get_quantity('elevation').get_values(location='centroids') |
---|
817 | depth = stage-elevation |
---|
818 | |
---|
819 | return num.sum(depth*area) |
---|
820 | |
---|
821 | |
---|
822 | def volumetric_balance_statistics(self): |
---|
823 | """Create volumetric balance report suitable for printing or logging. |
---|
824 | """ |
---|
825 | |
---|
826 | (boundary_flows, total_boundary_inflow, |
---|
827 | total_boundary_outflow) = self.compute_boundary_flows() |
---|
828 | |
---|
829 | message = '---------------------------\n' |
---|
830 | message += 'Volumetric balance report:\n' |
---|
831 | message += '--------------------------\n' |
---|
832 | message += 'Total boundary inflow [m^3/s]: %.2f\n' % total_boundary_inflow |
---|
833 | message += 'Total boundary outflow [m^3/s]: %.2f\n' % total_boundary_outflow |
---|
834 | message += 'Net boundary flow by tags [m^3/s]\n' |
---|
835 | for tag in boundary_flows: |
---|
836 | message += ' %s [m^3/s]: %.2f\n' % (tag, boundary_flows[tag]) |
---|
837 | |
---|
838 | message += 'Total net boundary flow [m^3/s]: %.2f\n' % \ |
---|
839 | (total_boundary_inflow + total_boundary_outflow) |
---|
840 | message += 'Total volume in domain [m^3]: %.2f\n' % \ |
---|
841 | self.compute_total_volume() |
---|
842 | |
---|
843 | # The go through explicit forcing update and record the rate of change |
---|
844 | # for stage and |
---|
845 | # record into forcing_inflow and forcing_outflow. Finally compute |
---|
846 | # integral of depth to obtain total volume of domain. |
---|
847 | |
---|
848 | # FIXME(Ole): This part is not yet done. |
---|
849 | |
---|
850 | return message |
---|
851 | |
---|
852 | ################################################################################ |
---|
853 | # End of class Shallow Water Domain |
---|
854 | ################################################################################ |
---|
855 | |
---|
856 | #----------------- |
---|
857 | # Flux computation |
---|
858 | #----------------- |
---|
859 | |
---|
860 | def compute_fluxes(domain): |
---|
861 | """Compute fluxes and timestep suitable for all volumes in domain. |
---|
862 | |
---|
863 | Compute total flux for each conserved quantity using "flux_function" |
---|
864 | |
---|
865 | Fluxes across each edge are scaled by edgelengths and summed up |
---|
866 | Resulting flux is then scaled by area and stored in |
---|
867 | explicit_update for each of the three conserved quantities |
---|
868 | stage, xmomentum and ymomentum |
---|
869 | |
---|
870 | The maximal allowable speed computed by the flux_function for each volume |
---|
871 | is converted to a timestep that must not be exceeded. The minimum of |
---|
872 | those is computed as the next overall timestep. |
---|
873 | |
---|
874 | Post conditions: |
---|
875 | domain.explicit_update is reset to computed flux values |
---|
876 | domain.timestep is set to the largest step satisfying all volumes. |
---|
877 | |
---|
878 | This wrapper calls the underlying C version of compute fluxes |
---|
879 | """ |
---|
880 | |
---|
881 | import sys |
---|
882 | from shallow_water_ext import compute_fluxes_ext_central \ |
---|
883 | as compute_fluxes_ext |
---|
884 | |
---|
885 | # Shortcuts |
---|
886 | Stage = domain.quantities['stage'] |
---|
887 | Xmom = domain.quantities['xmomentum'] |
---|
888 | Ymom = domain.quantities['ymomentum'] |
---|
889 | Bed = domain.quantities['elevation'] |
---|
890 | |
---|
891 | timestep = float(sys.maxint) |
---|
892 | |
---|
893 | flux_timestep = compute_fluxes_ext(timestep, |
---|
894 | domain.epsilon, |
---|
895 | domain.H0, |
---|
896 | domain.g, |
---|
897 | domain.neighbours, |
---|
898 | domain.neighbour_edges, |
---|
899 | domain.normals, |
---|
900 | domain.edgelengths, |
---|
901 | domain.radii, |
---|
902 | domain.areas, |
---|
903 | domain.tri_full_flag, |
---|
904 | Stage.edge_values, |
---|
905 | Xmom.edge_values, |
---|
906 | Ymom.edge_values, |
---|
907 | Bed.edge_values, |
---|
908 | Stage.boundary_values, |
---|
909 | Xmom.boundary_values, |
---|
910 | Ymom.boundary_values, |
---|
911 | Stage.explicit_update, |
---|
912 | Xmom.explicit_update, |
---|
913 | Ymom.explicit_update, |
---|
914 | domain.already_computed_flux, |
---|
915 | domain.max_speed, |
---|
916 | int(domain.optimise_dry_cells)) |
---|
917 | |
---|
918 | domain.flux_timestep = flux_timestep |
---|
919 | |
---|
920 | ################################################################################ |
---|
921 | # Module functions for gradient limiting |
---|
922 | ################################################################################ |
---|
923 | |
---|
924 | def extrapolate_second_order_sw(domain): |
---|
925 | """Wrapper calling C version of extrapolate_second_order_sw. |
---|
926 | |
---|
927 | domain the domain to operate on |
---|
928 | |
---|
929 | Note MH090605: The following method belongs to the shallow_water domain |
---|
930 | class, see comments in the corresponding method in shallow_water_ext.c |
---|
931 | """ |
---|
932 | |
---|
933 | from shallow_water_ext import extrapolate_second_order_sw as extrapol2 |
---|
934 | |
---|
935 | # Shortcuts |
---|
936 | Stage = domain.quantities['stage'] |
---|
937 | Xmom = domain.quantities['xmomentum'] |
---|
938 | Ymom = domain.quantities['ymomentum'] |
---|
939 | Elevation = domain.quantities['elevation'] |
---|
940 | |
---|
941 | extrapol2(domain, |
---|
942 | domain.surrogate_neighbours, |
---|
943 | domain.number_of_boundaries, |
---|
944 | domain.centroid_coordinates, |
---|
945 | Stage.centroid_values, |
---|
946 | Xmom.centroid_values, |
---|
947 | Ymom.centroid_values, |
---|
948 | Elevation.centroid_values, |
---|
949 | domain.vertex_coordinates, |
---|
950 | Stage.vertex_values, |
---|
951 | Xmom.vertex_values, |
---|
952 | Ymom.vertex_values, |
---|
953 | Elevation.vertex_values, |
---|
954 | int(domain.optimise_dry_cells)) |
---|
955 | |
---|
956 | def distribute_using_vertex_limiter(domain): |
---|
957 | """Distribution from centroids to vertices specific to the SWW equation. |
---|
958 | |
---|
959 | It will ensure that h (w-z) is always non-negative even in the |
---|
960 | presence of steep bed-slopes by taking a weighted average between shallow |
---|
961 | and deep cases. |
---|
962 | |
---|
963 | In addition, all conserved quantities get distributed as per either a |
---|
964 | constant (order==1) or a piecewise linear function (order==2). |
---|
965 | |
---|
966 | FIXME: more explanation about removal of artificial variability etc |
---|
967 | |
---|
968 | Precondition: |
---|
969 | All quantities defined at centroids and bed elevation defined at |
---|
970 | vertices. |
---|
971 | |
---|
972 | Postcondition |
---|
973 | Conserved quantities defined at vertices |
---|
974 | """ |
---|
975 | |
---|
976 | # Remove very thin layers of water |
---|
977 | protect_against_infinitesimal_and_negative_heights(domain) |
---|
978 | |
---|
979 | # Extrapolate all conserved quantities |
---|
980 | if domain.optimised_gradient_limiter: |
---|
981 | # MH090605 if second order, |
---|
982 | # perform the extrapolation and limiting on |
---|
983 | # all of the conserved quantities |
---|
984 | |
---|
985 | if (domain._order_ == 1): |
---|
986 | for name in domain.conserved_quantities: |
---|
987 | Q = domain.quantities[name] |
---|
988 | Q.extrapolate_first_order() |
---|
989 | elif domain._order_ == 2: |
---|
990 | domain.extrapolate_second_order_sw() |
---|
991 | else: |
---|
992 | raise Exception('Unknown order') |
---|
993 | else: |
---|
994 | # Old code: |
---|
995 | for name in domain.conserved_quantities: |
---|
996 | Q = domain.quantities[name] |
---|
997 | |
---|
998 | if domain._order_ == 1: |
---|
999 | Q.extrapolate_first_order() |
---|
1000 | elif domain._order_ == 2: |
---|
1001 | Q.extrapolate_second_order_and_limit_by_vertex() |
---|
1002 | else: |
---|
1003 | raise Exception('Unknown order') |
---|
1004 | |
---|
1005 | # Take bed elevation into account when water heights are small |
---|
1006 | balance_deep_and_shallow(domain) |
---|
1007 | |
---|
1008 | # Compute edge values by interpolation |
---|
1009 | for name in domain.conserved_quantities: |
---|
1010 | Q = domain.quantities[name] |
---|
1011 | Q.interpolate_from_vertices_to_edges() |
---|
1012 | |
---|
1013 | def distribute_using_edge_limiter(domain): |
---|
1014 | """Distribution from centroids to edges specific to the SWW eqn. |
---|
1015 | |
---|
1016 | It will ensure that h (w-z) is always non-negative even in the |
---|
1017 | presence of steep bed-slopes by taking a weighted average between shallow |
---|
1018 | and deep cases. |
---|
1019 | |
---|
1020 | In addition, all conserved quantities get distributed as per either a |
---|
1021 | constant (order==1) or a piecewise linear function (order==2). |
---|
1022 | |
---|
1023 | |
---|
1024 | Precondition: |
---|
1025 | All quantities defined at centroids and bed elevation defined at |
---|
1026 | vertices. |
---|
1027 | |
---|
1028 | Postcondition |
---|
1029 | Conserved quantities defined at vertices |
---|
1030 | """ |
---|
1031 | |
---|
1032 | # Remove very thin layers of water |
---|
1033 | protect_against_infinitesimal_and_negative_heights(domain) |
---|
1034 | |
---|
1035 | for name in domain.conserved_quantities: |
---|
1036 | Q = domain.quantities[name] |
---|
1037 | if domain._order_ == 1: |
---|
1038 | Q.extrapolate_first_order() |
---|
1039 | elif domain._order_ == 2: |
---|
1040 | Q.extrapolate_second_order_and_limit_by_edge() |
---|
1041 | else: |
---|
1042 | raise Exception('Unknown order') |
---|
1043 | |
---|
1044 | balance_deep_and_shallow(domain) |
---|
1045 | |
---|
1046 | # Compute edge values by interpolation |
---|
1047 | for name in domain.conserved_quantities: |
---|
1048 | Q = domain.quantities[name] |
---|
1049 | Q.interpolate_from_vertices_to_edges() |
---|
1050 | |
---|
1051 | def protect_against_infinitesimal_and_negative_heights(domain): |
---|
1052 | """Protect against infinitesimal heights and associated high velocities""" |
---|
1053 | |
---|
1054 | from shallow_water_ext import protect |
---|
1055 | |
---|
1056 | # Shortcuts |
---|
1057 | wc = domain.quantities['stage'].centroid_values |
---|
1058 | zc = domain.quantities['elevation'].centroid_values |
---|
1059 | xmomc = domain.quantities['xmomentum'].centroid_values |
---|
1060 | ymomc = domain.quantities['ymomentum'].centroid_values |
---|
1061 | |
---|
1062 | protect(domain.minimum_allowed_height, domain.maximum_allowed_speed, |
---|
1063 | domain.epsilon, wc, zc, xmomc, ymomc) |
---|
1064 | |
---|
1065 | def balance_deep_and_shallow(domain): |
---|
1066 | """Compute linear combination between stage as computed by |
---|
1067 | gradient-limiters limiting using w, and stage computed by |
---|
1068 | gradient-limiters limiting using h (h-limiter). |
---|
1069 | The former takes precedence when heights are large compared to the |
---|
1070 | bed slope while the latter takes precedence when heights are |
---|
1071 | relatively small. Anything in between is computed as a balanced |
---|
1072 | linear combination in order to avoid numerical disturbances which |
---|
1073 | would otherwise appear as a result of hard switching between |
---|
1074 | modes. |
---|
1075 | |
---|
1076 | Wrapper for C implementation |
---|
1077 | """ |
---|
1078 | |
---|
1079 | from shallow_water_ext import balance_deep_and_shallow \ |
---|
1080 | as balance_deep_and_shallow_c |
---|
1081 | |
---|
1082 | # Shortcuts |
---|
1083 | wc = domain.quantities['stage'].centroid_values |
---|
1084 | zc = domain.quantities['elevation'].centroid_values |
---|
1085 | wv = domain.quantities['stage'].vertex_values |
---|
1086 | zv = domain.quantities['elevation'].vertex_values |
---|
1087 | |
---|
1088 | # Momentums at centroids |
---|
1089 | xmomc = domain.quantities['xmomentum'].centroid_values |
---|
1090 | ymomc = domain.quantities['ymomentum'].centroid_values |
---|
1091 | |
---|
1092 | # Momentums at vertices |
---|
1093 | xmomv = domain.quantities['xmomentum'].vertex_values |
---|
1094 | ymomv = domain.quantities['ymomentum'].vertex_values |
---|
1095 | |
---|
1096 | balance_deep_and_shallow_c(domain, |
---|
1097 | wc, zc, wv, zv, wc, |
---|
1098 | xmomc, ymomc, xmomv, ymomv) |
---|
1099 | |
---|
1100 | |
---|
1101 | |
---|
1102 | ################################################################################ |
---|
1103 | # Standard forcing terms |
---|
1104 | ################################################################################ |
---|
1105 | |
---|
1106 | def gravity(domain): |
---|
1107 | """Apply gravitational pull in the presence of bed slope |
---|
1108 | Wrapper calls underlying C implementation |
---|
1109 | """ |
---|
1110 | |
---|
1111 | from shallow_water_ext import gravity as gravity_c |
---|
1112 | |
---|
1113 | xmom_update = domain.quantities['xmomentum'].explicit_update |
---|
1114 | ymom_update = domain.quantities['ymomentum'].explicit_update |
---|
1115 | |
---|
1116 | stage = domain.quantities['stage'] |
---|
1117 | elevation = domain.quantities['elevation'] |
---|
1118 | |
---|
1119 | #FIXME SR Should avoid allocating memory! |
---|
1120 | height = stage.centroid_values - elevation.centroid_values |
---|
1121 | elevation = elevation.vertex_values |
---|
1122 | |
---|
1123 | point = domain.get_vertex_coordinates() |
---|
1124 | |
---|
1125 | gravity_c(domain.g, height, elevation, point, xmom_update, ymom_update) |
---|
1126 | |
---|
1127 | def manning_friction_implicit(domain): |
---|
1128 | """Apply (Manning) friction to water momentum |
---|
1129 | Wrapper for c version |
---|
1130 | """ |
---|
1131 | |
---|
1132 | from shallow_water_ext import manning_friction_flat |
---|
1133 | from shallow_water_ext import manning_friction_sloped |
---|
1134 | |
---|
1135 | xmom = domain.quantities['xmomentum'] |
---|
1136 | ymom = domain.quantities['ymomentum'] |
---|
1137 | |
---|
1138 | x = domain.get_vertex_coordinates() |
---|
1139 | |
---|
1140 | w = domain.quantities['stage'].centroid_values |
---|
1141 | z = domain.quantities['elevation'].vertex_values |
---|
1142 | |
---|
1143 | uh = xmom.centroid_values |
---|
1144 | vh = ymom.centroid_values |
---|
1145 | eta = domain.quantities['friction'].centroid_values |
---|
1146 | |
---|
1147 | xmom_update = xmom.semi_implicit_update |
---|
1148 | ymom_update = ymom.semi_implicit_update |
---|
1149 | |
---|
1150 | eps = domain.minimum_allowed_height |
---|
1151 | g = domain.g |
---|
1152 | |
---|
1153 | if domain.use_sloped_mannings: |
---|
1154 | manning_friction_sloped(g, eps, x, w, uh, vh, z, eta, xmom_update, \ |
---|
1155 | ymom_update) |
---|
1156 | else: |
---|
1157 | manning_friction_flat(g, eps, w, uh, vh, z, eta, xmom_update, \ |
---|
1158 | ymom_update) |
---|
1159 | |
---|
1160 | |
---|
1161 | def manning_friction_explicit(domain): |
---|
1162 | """Apply (Manning) friction to water momentum |
---|
1163 | Wrapper for c version |
---|
1164 | """ |
---|
1165 | |
---|
1166 | from shallow_water_ext import manning_friction_flat |
---|
1167 | from shallow_water_ext import manning_friction_sloped |
---|
1168 | |
---|
1169 | xmom = domain.quantities['xmomentum'] |
---|
1170 | ymom = domain.quantities['ymomentum'] |
---|
1171 | |
---|
1172 | x = domain.get_vertex_coordinates() |
---|
1173 | |
---|
1174 | w = domain.quantities['stage'].centroid_values |
---|
1175 | z = domain.quantities['elevation'].vertex_values |
---|
1176 | |
---|
1177 | uh = xmom.centroid_values |
---|
1178 | vh = ymom.centroid_values |
---|
1179 | eta = domain.quantities['friction'].centroid_values |
---|
1180 | |
---|
1181 | xmom_update = xmom.explicit_update |
---|
1182 | ymom_update = ymom.explicit_update |
---|
1183 | |
---|
1184 | eps = domain.minimum_allowed_height |
---|
1185 | |
---|
1186 | if domain.use_sloped_mannings: |
---|
1187 | manning_friction_sloped(domain.g, eps, x, w, uh, vh, z, eta, xmom_update, \ |
---|
1188 | ymom_update) |
---|
1189 | else: |
---|
1190 | manning_friction_flat(domain.g, eps, w, uh, vh, z, eta, xmom_update, \ |
---|
1191 | ymom_update) |
---|
1192 | |
---|
1193 | |
---|
1194 | |
---|
1195 | # FIXME (Ole): This was implemented for use with one of the analytical solutions |
---|
1196 | def linear_friction(domain): |
---|
1197 | """Apply linear friction to water momentum |
---|
1198 | |
---|
1199 | Assumes quantity: 'linear_friction' to be present |
---|
1200 | """ |
---|
1201 | |
---|
1202 | w = domain.quantities['stage'].centroid_values |
---|
1203 | z = domain.quantities['elevation'].centroid_values |
---|
1204 | h = w-z |
---|
1205 | |
---|
1206 | uh = domain.quantities['xmomentum'].centroid_values |
---|
1207 | vh = domain.quantities['ymomentum'].centroid_values |
---|
1208 | tau = domain.quantities['linear_friction'].centroid_values |
---|
1209 | |
---|
1210 | xmom_update = domain.quantities['xmomentum'].semi_implicit_update |
---|
1211 | ymom_update = domain.quantities['ymomentum'].semi_implicit_update |
---|
1212 | |
---|
1213 | num_tris = len(domain) |
---|
1214 | eps = domain.minimum_allowed_height |
---|
1215 | |
---|
1216 | for k in range(num_tris): |
---|
1217 | if tau[k] >= eps: |
---|
1218 | if h[k] >= eps: |
---|
1219 | S = -tau[k]/h[k] |
---|
1220 | |
---|
1221 | #Update momentum |
---|
1222 | xmom_update[k] += S*uh[k] |
---|
1223 | ymom_update[k] += S*vh[k] |
---|
1224 | |
---|
1225 | def depth_dependent_friction(domain, default_friction, |
---|
1226 | surface_roughness_data, |
---|
1227 | verbose=False): |
---|
1228 | """Returns an array of friction values for each wet element adjusted for |
---|
1229 | depth. |
---|
1230 | |
---|
1231 | Inputs: |
---|
1232 | domain - computational domain object |
---|
1233 | default_friction - depth independent bottom friction |
---|
1234 | surface_roughness_data - N x 5 array of n0, d1, n1, d2, n2 values |
---|
1235 | for each friction region. |
---|
1236 | |
---|
1237 | Outputs: |
---|
1238 | wet_friction - Array that can be used directly to update friction as |
---|
1239 | follows: |
---|
1240 | domain.set_quantity('friction', wet_friction) |
---|
1241 | |
---|
1242 | |
---|
1243 | |
---|
1244 | """ |
---|
1245 | |
---|
1246 | default_n0 = 0 # James - this was missing, don't know what it should be |
---|
1247 | |
---|
1248 | # Create a temp array to store updated depth dependent |
---|
1249 | # friction for wet elements |
---|
1250 | # EHR this is outwardly inneficient but not obvious how to avoid |
---|
1251 | # recreating each call?????? |
---|
1252 | |
---|
1253 | wet_friction = num.zeros(len(domain), num.float) |
---|
1254 | wet_friction[:] = default_n0 # Initially assign default_n0 to all array so |
---|
1255 | # sure have no zeros values |
---|
1256 | |
---|
1257 | # create depth instance for this timestep |
---|
1258 | depth = domain.create_quantity_from_expression('stage - elevation') |
---|
1259 | # Recompute depth as vector |
---|
1260 | d_vals = depth.get_values(location='centroids') |
---|
1261 | |
---|
1262 | # rebuild the 'friction' values adjusted for depth at this instant |
---|
1263 | # loop for each wet element in domain |
---|
1264 | |
---|
1265 | for i in domain.get_wet_elements(): |
---|
1266 | # Get roughness data for each element |
---|
1267 | d1 = float(surface_roughness_data[i, 1]) |
---|
1268 | n1 = float(surface_roughness_data[i, 2]) |
---|
1269 | d2 = float(surface_roughness_data[i, 3]) |
---|
1270 | n2 = float(surface_roughness_data[i, 4]) |
---|
1271 | |
---|
1272 | |
---|
1273 | # Recompute friction values from depth for this element |
---|
1274 | |
---|
1275 | if d_vals[i] <= d1: |
---|
1276 | ddf = n1 |
---|
1277 | elif d_vals[i] >= d2: |
---|
1278 | ddf = n2 |
---|
1279 | else: |
---|
1280 | ddf = n1 + ((n2-n1)/(d2-d1))*(d_vals[i]-d1) |
---|
1281 | |
---|
1282 | # check sanity of result |
---|
1283 | if (ddf < 0.010 or \ |
---|
1284 | ddf > 9999.0) : |
---|
1285 | log.critical('>>>> WARNING: computed depth_dependent friction ' |
---|
1286 | 'out of range, ddf%f, n1=%f, n2=%f' |
---|
1287 | % (ddf, n1, n2)) |
---|
1288 | |
---|
1289 | # update depth dependent friction for that wet element |
---|
1290 | wet_friction[i] = ddf |
---|
1291 | |
---|
1292 | # EHR add code to show range of 'friction across domain at this instant as |
---|
1293 | # sanity check????????? |
---|
1294 | |
---|
1295 | if verbose : |
---|
1296 | # return array of domain nvals |
---|
1297 | nvals = domain.get_quantity('friction').get_values(location='centroids') |
---|
1298 | n_min = min(nvals) |
---|
1299 | n_max = max(nvals) |
---|
1300 | |
---|
1301 | log.critical(' ++++ calculate_depth_dependent_friction - ' |
---|
1302 | 'Updated friction - range %7.3f to %7.3f' |
---|
1303 | % (n_min, n_max)) |
---|
1304 | |
---|
1305 | return wet_friction |
---|
1306 | |
---|
1307 | |
---|
1308 | |
---|
1309 | ################################################################################ |
---|
1310 | # Initialise module |
---|
1311 | ################################################################################ |
---|
1312 | |
---|
1313 | def _raise_compile_exception(): |
---|
1314 | """ Raise exception if compiler not available. """ |
---|
1315 | msg = 'C implementations could not be accessed by %s.\n ' % __file__ |
---|
1316 | msg += 'Make sure compile_all.py has been run as described in ' |
---|
1317 | msg += 'the ANUGA installation guide.' |
---|
1318 | raise Exception(msg) |
---|
1319 | |
---|
1320 | from anuga.utilities import compile |
---|
1321 | if not compile.can_use_C_extension('shallow_water_ext.c'): |
---|
1322 | _raise_compile_exception() |
---|
1323 | |
---|
1324 | if __name__ == "__main__": |
---|
1325 | pass |
---|