1 | import anuga.geometry.polygon |
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2 | from anuga.geometry.polygon import inside_polygon, is_inside_polygon, line_intersect |
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3 | from anuga.config import velocity_protection, g |
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4 | from anuga import Region |
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5 | |
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6 | import math |
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7 | |
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8 | |
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9 | import numpy as num |
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10 | |
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11 | class Inlet: |
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12 | """Contains information associated with each inlet |
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13 | """ |
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14 | |
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15 | def __init__(self, domain, poly, verbose=False): |
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16 | |
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17 | self.domain = domain |
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18 | self.domain_bounding_polygon = self.domain.get_boundary_polygon() |
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19 | self.verbose = verbose |
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20 | |
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21 | |
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22 | # poly can be either a line, polygon or a regions |
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23 | if isinstance(poly,Region): |
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24 | self.region = poly |
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25 | else: |
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26 | self.region = Region(domain,poly=poly,expand_polygon=True) |
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27 | |
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28 | |
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29 | |
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30 | #self.line = True |
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31 | #if len(self.poly) > 2: |
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32 | # self.line = False |
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33 | |
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34 | self.triangle_indices = self.region.indices |
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35 | |
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36 | #print self.triangle_indices |
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37 | #print poly |
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38 | #print self.triangle_indices |
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39 | |
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40 | #self.compute_triangle_indices() |
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41 | self.compute_area() |
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42 | #self.compute_inlet_length() |
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43 | |
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44 | |
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45 | |
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46 | ## def compute_triangle_indices(self): |
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47 | |
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48 | ## # Get boundary (in absolute coordinates) |
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49 | ## bounding_polygon = self.domain_bounding_polygon |
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50 | ## domain_centroids = self.domain.get_centroid_coordinates(absolute=True) |
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51 | ## vertex_coordinates = self.domain.get_vertex_coordinates(absolute=True) |
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52 | |
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53 | ## if self.line: # poly is a line |
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54 | ## # Check that line lies within the mesh. |
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55 | ## for point in self.poly: |
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56 | ## msg = 'Point %s ' % str(point) |
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57 | ## msg += ' did not fall within the domain boundary.' |
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58 | ## assert is_inside_polygon(point, bounding_polygon), msg |
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59 | |
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60 | ## self.triangle_indices = line_intersect(vertex_coordinates, self.poly) |
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61 | |
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62 | ## else: # poly is a polygon |
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63 | |
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64 | ## tris_0 = line_intersect(vertex_coordinates, [self.poly[0],self.poly[1]]) |
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65 | ## tris_1 = inside_polygon(domain_centroids, self.poly) |
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66 | ## #print 40*"=" |
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67 | ## #print tris_0 |
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68 | ## #print tris_1 |
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69 | ## self.triangle_indices = num.union1d(tris_0, tris_1) |
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70 | ## #print self.triangle_indices |
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71 | |
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72 | ## if len(self.triangle_indices) == 0: |
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73 | ## msg = 'Inlet poly=%s ' % (self.poly) |
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74 | ## msg += 'No triangle centroids intersecting poly ' |
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75 | ## raise Exception, msg |
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76 | |
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77 | |
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78 | |
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79 | |
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80 | def compute_area(self): |
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81 | |
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82 | # Compute inlet area as the sum of areas of triangles identified |
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83 | # by line. Must be called after compute_inlet_triangle_indices(). |
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84 | if len(self.triangle_indices) == 0: |
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85 | region = 'Inlet line=%s' % (self.inlet_line) |
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86 | msg = 'No triangles have been identified in region ' |
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87 | raise Exception, msg |
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88 | |
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89 | # self.area = 0.0 |
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90 | # for j in self.triangle_indices: |
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91 | # self.area += self.domain.areas[j] |
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92 | |
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93 | self.area = num.sum(self.domain.areas[self.triangle_indices]) |
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94 | |
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95 | msg = 'Inlet exchange area has area = %f' % self.area |
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96 | assert self.area > 0.0 |
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97 | |
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98 | |
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99 | # def compute_inlet_length(self): |
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100 | # """ Compute the length of the inlet (as |
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101 | # defined by the input line |
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102 | # """ |
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103 | # |
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104 | # self.inlet_length = anuga.geometry.polygon.line_length(self.poly) |
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105 | |
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106 | |
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107 | # def get_inlet_length(self): |
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108 | # |
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109 | # return self.inlet_length |
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110 | |
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111 | |
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112 | |
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113 | def get_poly(self): |
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114 | |
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115 | return self.poly |
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116 | |
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117 | def get_area(self): |
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118 | |
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119 | return self.area |
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120 | |
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121 | |
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122 | def get_areas(self): |
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123 | |
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124 | # Must be called after compute_inlet_triangle_indices(). |
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125 | return self.domain.areas.take(self.triangle_indices) |
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126 | |
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127 | |
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128 | def get_stages(self): |
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129 | |
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130 | return self.domain.quantities['stage'].centroid_values.take(self.triangle_indices) |
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131 | |
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132 | |
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133 | def get_average_stage(self): |
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134 | |
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135 | return num.sum(self.get_stages()*self.get_areas())/self.area |
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136 | |
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137 | def get_elevations(self): |
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138 | |
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139 | return self.domain.quantities['elevation'].centroid_values.take(self.triangle_indices) |
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140 | |
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141 | def get_average_elevation(self): |
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142 | |
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143 | return num.sum(self.get_elevations()*self.get_areas())/self.area |
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144 | |
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145 | |
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146 | def get_xmoms(self): |
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147 | |
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148 | return self.domain.quantities['xmomentum'].centroid_values.take(self.triangle_indices) |
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149 | |
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150 | |
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151 | def get_average_xmom(self): |
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152 | |
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153 | return num.sum(self.get_xmoms()*self.get_areas())/self.area |
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154 | |
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155 | |
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156 | def get_ymoms(self): |
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157 | |
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158 | return self.domain.quantities['ymomentum'].centroid_values.take(self.triangle_indices) |
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159 | |
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160 | |
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161 | def get_average_ymom(self): |
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162 | |
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163 | return num.sum(self.get_ymoms()*self.get_areas())/self.area |
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164 | |
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165 | |
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166 | def get_depths(self): |
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167 | |
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168 | return self.get_stages() - self.get_elevations() |
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169 | |
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170 | |
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171 | def get_total_water_volume(self): |
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172 | |
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173 | return num.sum(self.get_depths()*self.get_areas()) |
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174 | |
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175 | |
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176 | def get_average_depth(self): |
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177 | |
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178 | return self.get_total_water_volume()/self.area |
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179 | |
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180 | |
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181 | def get_velocities(self): |
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182 | |
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183 | depths = self.get_depths() |
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184 | u = self.get_xmoms()/(depths + velocity_protection/depths) |
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185 | v = self.get_ymoms()/(depths + velocity_protection/depths) |
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186 | |
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187 | return u, v |
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188 | |
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189 | |
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190 | def get_xvelocities(self): |
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191 | |
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192 | depths = self.get_depths() |
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193 | return self.get_xmoms()/(depths + velocity_protection/depths) |
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194 | |
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195 | def get_yvelocities(self): |
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196 | |
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197 | depths = self.get_depths() |
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198 | return self.get_ymoms()/(depths + velocity_protection/depths) |
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199 | |
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200 | |
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201 | def get_average_speed(self): |
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202 | |
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203 | u, v = self.get_velocities() |
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204 | |
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205 | average_u = num.sum(u*self.get_areas())/self.area |
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206 | average_v = num.sum(v*self.get_areas())/self.area |
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207 | |
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208 | return math.sqrt(average_u**2 + average_v**2) |
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209 | |
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210 | |
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211 | def get_average_velocity_head(self): |
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212 | |
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213 | return 0.5*self.get_average_speed()**2/g |
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214 | |
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215 | |
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216 | def get_average_total_energy(self): |
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217 | |
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218 | return self.get_average_velocity_head() + self.get_average_stage() |
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219 | |
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220 | |
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221 | def get_average_specific_energy(self): |
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222 | |
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223 | return self.get_average_velocity_head() + self.get_average_depth() |
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224 | |
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225 | |
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226 | |
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227 | def set_depths(self,depth): |
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228 | |
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229 | self.domain.quantities['stage'].centroid_values.put(self.triangle_indices, self.get_elevations() + depth) |
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230 | |
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231 | |
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232 | def set_stages(self,stage): |
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233 | |
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234 | self.domain.quantities['stage'].centroid_values.put(self.triangle_indices, stage) |
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235 | |
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236 | |
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237 | def set_xmoms(self,xmom): |
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238 | |
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239 | self.domain.quantities['xmomentum'].centroid_values.put(self.triangle_indices, xmom) |
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240 | |
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241 | |
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242 | def set_ymoms(self,ymom): |
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243 | |
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244 | self.domain.quantities['ymomentum'].centroid_values.put(self.triangle_indices, ymom) |
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245 | |
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246 | |
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247 | def set_elevations(self,elevation): |
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248 | |
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249 | self.domain.quantities['elevation'].centroid_values.put(self.triangle_indices, elevation) |
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250 | |
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251 | def set_stages_evenly(self,volume): |
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252 | """ Distribute volume of water over |
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253 | inlet exchange region so that stage is level |
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254 | """ |
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255 | |
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256 | assert volume >= 0.0 |
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257 | |
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258 | areas = self.get_areas() |
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259 | stages = self.get_stages() |
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260 | depths = self.get_depths() |
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261 | |
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262 | stages_order = stages.argsort() |
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263 | |
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264 | # accumulate areas of cells ordered by stage |
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265 | summed_areas = num.cumsum(areas[stages_order]) |
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266 | |
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267 | # accumulate the volume need to fill cells |
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268 | summed_volume = num.zeros_like(areas) |
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269 | summed_volume[1:] = num.cumsum(summed_areas[:-1]*num.diff(stages[stages_order])) |
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270 | |
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271 | index = num.nonzero(summed_volume<=volume)[0][-1] |
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272 | |
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273 | # calculate stage needed to fill chosen cells with given volume of water |
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274 | depth = (volume - summed_volume[index])/summed_areas[index] |
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275 | stages[stages_order[0:index+1]] = stages[stages_order[index]]+depth |
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276 | |
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277 | self.set_stages(stages) |
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278 | |
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279 | |
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280 | |
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281 | |
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282 | def set_depths_evenly(self,volume): |
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283 | """ Distribute volume over all exchange |
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284 | cells with equal depth of water |
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285 | """ |
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286 | |
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287 | new_depth = self.get_average_depth() + (volume/self.get_area()) |
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288 | self.set_depths(new_depth) |
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289 | |
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