1 | #include "Python.h" |
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2 | #include "Numeric/arrayobject.h" |
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3 | #include "math.h" |
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4 | #include <stdio.h> |
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5 | const double pi = 3.14159265358979; |
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6 | |
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7 | |
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8 | // Shared code snippets |
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9 | #include "util_ext.h" |
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10 | |
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11 | |
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12 | /* double max(double a, double b) { */ |
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13 | /* double z; */ |
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14 | /* z=(a>b)?a:b; */ |
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15 | /* return z;} */ |
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16 | |
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17 | /* double min(double a, double b) { */ |
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18 | /* double z; */ |
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19 | /* z=(a<b)?a:b; */ |
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20 | /* return z;} */ |
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21 | |
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22 | |
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23 | // Function to obtain speed from momentum and depth. |
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24 | // This is used by flux functions |
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25 | // Input parameters uh and h may be modified by this function. |
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26 | double _compute_speed(double *uh, |
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27 | double *h, |
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28 | double epsilon, |
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29 | double h0) { |
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30 | |
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31 | double u; |
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32 | |
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33 | if (*h < epsilon) { |
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34 | *h = 0.0; //Could have been negative |
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35 | u = 0.0; |
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36 | } else { |
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37 | u = *uh/(*h + h0/ *h); |
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38 | } |
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39 | |
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40 | |
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41 | // Adjust momentum to be consistent with speed |
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42 | *uh = u * *h; |
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43 | |
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44 | return u; |
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45 | } |
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46 | |
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47 | |
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48 | |
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49 | //Innermost flux function (using w=z+h) |
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50 | int _flux_function_channel(double *q_leftm,double *q_leftp, double *q_rightm, |
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51 | double *q_rightp, double g, double epsilon, double h0, double *edgeflux, double *max_speed) { |
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52 | |
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53 | int i; |
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54 | double flux_left[2], flux_right[2]; |
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55 | double a_leftm,w_leftm, h_leftm, d_leftm, z_leftm, u_leftm, b_leftm, soundspeed_leftm; |
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56 | double a_leftp,w_leftp, h_leftp, d_leftp, z_leftp, u_leftp, b_leftp, soundspeed_leftp; |
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57 | double a_rightm,w_rightm, h_rightm, d_rightm, z_rightm, u_rightm, b_rightm, soundspeed_rightm; |
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58 | double a_rightp,w_rightp, h_rightp, d_rightp, z_rightp, u_rightp, b_rightp, soundspeed_rightp; |
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59 | double s_maxl, s_minl,s_maxr,s_minr, denom; |
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60 | double zphalf,zmhalf,hleftstar,hrightstar; |
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61 | double fluxtemp1,fluxtemp0,speedtemp; |
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62 | |
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63 | zmhalf = max(q_leftm[2],q_leftp[2]); |
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64 | zphalf = max(q_rightm[2],q_rightp[2]); |
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65 | |
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66 | a_leftm = q_leftm[0]; |
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67 | d_leftm = q_leftm[1]; |
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68 | z_leftm = q_leftm[2]; |
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69 | h_leftm = max(0,q_leftm[3]+q_leftm[2]-zmhalf); |
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70 | u_leftm = q_leftm[4]; |
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71 | b_leftm = q_leftm[5]; |
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72 | w_leftm = h_leftm+z_leftm; |
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73 | |
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74 | a_leftp = q_leftp[0]; |
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75 | d_leftp = q_leftp[1]; |
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76 | z_leftp = q_leftp[2]; |
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77 | h_leftp = max(0,q_leftp[3]+q_leftp[2]-zmhalf); |
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78 | u_leftp = q_leftp[4]; |
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79 | b_leftp = q_leftp[5]; |
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80 | w_leftp = h_leftp+z_leftp; |
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81 | |
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82 | a_rightm = q_rightm[0]; |
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83 | d_rightm = q_rightm[1]; |
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84 | z_rightm = q_rightm[2]; |
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85 | h_rightm = max(0,q_rightm[3]+q_rightm[2]-zphalf); |
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86 | u_rightm = q_rightm[4]; |
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87 | b_rightm = q_rightm[5]; |
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88 | w_rightm = h_rightm+z_rightm; |
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89 | |
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90 | a_rightp = q_rightp[0]; |
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91 | d_rightp = q_rightp[1]; |
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92 | z_rightp = q_rightp[2]; |
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93 | h_rightp = max(0,q_rightp[3]+q_rightp[2]-zphalf); |
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94 | u_rightp = q_rightp[4]; |
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95 | b_rightp = q_rightp[5]; |
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96 | w_rightp = h_rightp+z_rightp; |
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97 | |
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98 | hleftstar = q_leftp[3]; |
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99 | hrightstar = q_rightm[3]; |
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100 | |
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101 | |
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102 | |
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103 | |
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104 | soundspeed_leftp = sqrt(g*h_leftp); |
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105 | soundspeed_leftm = sqrt(g*h_leftm); |
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106 | soundspeed_rightp = sqrt(g*h_rightp); |
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107 | soundspeed_rightm = sqrt(g*h_rightm); |
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108 | |
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109 | s_maxl = max(u_leftm+soundspeed_leftm, u_leftp+soundspeed_leftp); |
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110 | if (s_maxl < 0.0) s_maxl = 0.0; |
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111 | |
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112 | s_minl = min(u_leftm-soundspeed_leftm, u_leftp-soundspeed_leftp); |
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113 | if (s_minl > 0.0) s_minl = 0.0; |
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114 | |
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115 | s_maxr = max(u_rightm+soundspeed_rightm, u_rightp+soundspeed_rightp); |
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116 | if (s_maxr < 0.0) s_maxr = 0.0; |
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117 | |
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118 | s_minr = min(u_rightm-soundspeed_rightm, u_rightp-soundspeed_rightp); |
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119 | if (s_minr > 0.0) s_minr = 0.0; |
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120 | |
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121 | // Flux formulas for left hand side |
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122 | flux_left[0] = d_leftm; |
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123 | flux_left[1] = u_leftm*d_leftm + 0.5*g*h_leftm*h_leftm*b_leftm; |
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124 | |
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125 | flux_right[0] = d_leftp; |
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126 | flux_right[1] = u_leftp*d_leftp + 0.5*g*h_leftp*h_leftp*b_leftp; |
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127 | |
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128 | |
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129 | // Flux computation for left hand side |
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130 | denom = s_maxl-s_minl; |
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131 | if (denom < epsilon) { |
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132 | for (i=0; i<2; i++) edgeflux[i] = 0.0; |
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133 | } else { |
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134 | edgeflux[0] = s_maxl*flux_left[0] - s_minl*flux_right[0]; |
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135 | // edgeflux[0] += s_maxl*s_minl*(a_leftp-a_leftm); |
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136 | edgeflux[0] /= denom; |
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137 | edgeflux[1] = s_maxl*flux_left[1] - s_minl*flux_right[1]; |
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138 | edgeflux[1] += s_maxl*s_minl*(d_leftp-d_leftm); |
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139 | edgeflux[1] /= denom; |
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140 | |
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141 | |
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142 | } |
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143 | |
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144 | fluxtemp0 = edgeflux[0]; |
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145 | fluxtemp1 = edgeflux[1]; |
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146 | |
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147 | |
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148 | // Flux formulas for right hand side |
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149 | flux_left[0] = d_rightm; |
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150 | flux_left[1] = u_rightm*d_rightm + 0.5*g*h_rightm*h_rightm; |
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151 | |
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152 | flux_right[0] = d_rightp; |
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153 | flux_right[1] = u_rightp*d_rightp + 0.5*g*h_rightp*h_rightp; |
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154 | |
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155 | |
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156 | |
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157 | // Flux computation for right hand side |
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158 | denom = s_maxr-s_minr; |
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159 | if (denom < epsilon) { |
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160 | for (i=0; i<2; i++) edgeflux[i] = 0.0; |
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161 | } else { |
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162 | edgeflux[0] = s_maxr*flux_left[0] - s_minr*flux_right[0]; |
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163 | // edgeflux[0] += s_maxr*s_minr*(a_rightp-a_rightm); |
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164 | edgeflux[0] /= denom; |
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165 | edgeflux[1] = s_maxr*flux_left[1] - s_minr*flux_right[1]; |
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166 | edgeflux[1] += s_maxr*s_minr*(d_rightp-d_rightm); |
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167 | edgeflux[1] /= denom; |
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168 | |
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169 | |
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170 | } |
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171 | |
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172 | |
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173 | edgeflux[0]=edgeflux[0]-fluxtemp0; |
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174 | edgeflux[1]=edgeflux[1]-fluxtemp1; |
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175 | |
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176 | |
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177 | |
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178 | edgeflux[1]-=0.5*g*h_rightm*h_rightm-0.5*g*hrightstar*hrightstar+0.5*g*hleftstar*hleftstar-0.5*g*h_leftp*h_leftp; |
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179 | |
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180 | |
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181 | |
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182 | |
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183 | |
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184 | //edgeflux[1]-=0.5*g*b_rightm*h_rightm*h_rightm-0.5*g*b_leftp*h_leftp*h_leftp; |
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185 | // Maximal wavespeed |
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186 | if ( (s_maxl-s_minl)<epsilon && (s_maxr-s_minr)<epsilon ){ |
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187 | *max_speed = 0.0; |
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188 | }else{ |
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189 | speedtemp = max(fabs(s_maxl),fabs(s_minl)); |
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190 | speedtemp = max(speedtemp,fabs(s_maxr)); |
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191 | speedtemp = max(speedtemp,fabs(s_minr)); |
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192 | *max_speed = speedtemp; |
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193 | } |
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194 | |
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195 | //printf("%f\n",h_right); |
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196 | return 0; |
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197 | } |
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198 | |
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199 | |
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200 | |
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201 | |
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202 | |
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203 | // Computational function for flux computation |
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204 | double _compute_fluxes_channel_ext(double cfl, |
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205 | double timestep, |
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206 | double epsilon, |
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207 | double g, |
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208 | double h0, |
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209 | long* neighbours, |
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210 | long* neighbour_vertices, |
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211 | double* normals, |
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212 | double* areas, |
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213 | double* area_edge_values, |
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214 | double* discharge_edge_values, |
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215 | double* bed_edge_values, |
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216 | double* height_edge_values, |
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217 | double* velocity_edge_values, |
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218 | double* width_edge_values, |
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219 | double* area_boundary_values, |
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220 | double* discharge_boundary_values, |
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221 | double* bed_boundary_values, |
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222 | double* height_boundary_values, |
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223 | double* velocity_boundary_values, |
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224 | double* width_boundary_values, |
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225 | double* area_explicit_update, |
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226 | double* discharge_explicit_update, |
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227 | int number_of_elements, |
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228 | double* max_speed_array) { |
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229 | |
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230 | double flux[2], qlm[6],qlp[6], qrm[6],qrp[6], edgeflux[2]; |
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231 | double max_speed, normal; |
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232 | int k, i, ki, n, m, nm=0; |
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233 | double zstar; |
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234 | for (k=0; k<number_of_elements; k++) { |
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235 | flux[0] = 0.0; |
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236 | flux[1] = 0.0; |
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237 | |
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238 | |
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239 | ki = k*2; |
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240 | |
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241 | |
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242 | n = neighbours[ki]; |
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243 | if (n<0) { |
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244 | m = -n-1; |
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245 | |
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246 | qlm[0] = area_boundary_values[m]; |
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247 | qlm[1] = discharge_boundary_values[m]; |
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248 | qlm[2] = bed_boundary_values[m]; |
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249 | qlm[3] = height_boundary_values[m]; |
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250 | qlm[4] = velocity_boundary_values[m]; |
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251 | qlm[5] = width_boundary_values[m]; |
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252 | |
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253 | }else{ |
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254 | m = neighbour_vertices[ki]; |
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255 | nm = n*2+m; |
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256 | |
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257 | |
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258 | qlm[0] = area_edge_values[nm]; |
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259 | qlm[1] = discharge_edge_values[nm]; |
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260 | qlm[2] = bed_edge_values[nm]; |
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261 | qlm[3] = height_edge_values[nm]; |
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262 | qlm[4] = velocity_edge_values[nm]; |
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263 | qlm[5] = width_edge_values[nm]; |
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264 | } |
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265 | qlp[0] = area_edge_values[ki]; |
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266 | qlp[1] = discharge_edge_values[ki]; |
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267 | qlp[2] = bed_edge_values[ki]; |
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268 | qlp[3] = height_edge_values[ki]; |
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269 | qlp[4] = velocity_edge_values[ki]; |
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270 | qlp[5] = width_edge_values[ki]; |
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271 | |
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272 | ki = k*2+1; |
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273 | |
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274 | |
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275 | n = neighbours[ki]; |
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276 | if (n<0) { |
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277 | m = -n-1; |
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278 | qrp[0] = area_boundary_values[m]; |
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279 | qrp[1] = discharge_boundary_values[m]; |
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280 | qrp[2] = bed_boundary_values[m]; |
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281 | qrp[3] = height_boundary_values[m]; |
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282 | qrp[4] = velocity_boundary_values[m]; |
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283 | qrp[5] = width_boundary_values[m]; |
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284 | |
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285 | |
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286 | |
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287 | }else{ |
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288 | m = neighbour_vertices[ki]; |
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289 | nm = n*2+m; |
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290 | |
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291 | |
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292 | qrp[0] = area_edge_values[nm]; |
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293 | qrp[1] = discharge_edge_values[nm]; |
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294 | qrp[2] = bed_edge_values[nm]; |
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295 | qrp[3] = height_edge_values[nm]; |
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296 | qrp[4] = velocity_edge_values[nm]; |
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297 | qrp[5] = width_edge_values[nm]; |
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298 | } |
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299 | qrm[0] = area_edge_values[ki]; |
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300 | qrm[1] = discharge_edge_values[ki]; |
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301 | qrm[2] = bed_edge_values[ki]; |
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302 | qrm[3] = height_edge_values[ki]; |
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303 | qrm[4] = velocity_edge_values[ki]; |
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304 | qrm[5] = width_edge_values[ki]; |
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305 | |
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306 | _flux_function_channel(qlm,qlp,qrm,qrp,g,epsilon,h0,edgeflux,&max_speed); |
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307 | flux[0] -= edgeflux[0]; |
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308 | flux[1] -= edgeflux[1]; |
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309 | |
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310 | // Update timestep based on edge i and possibly neighbour n |
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311 | if (max_speed > epsilon) { |
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312 | // Original CFL calculation |
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313 | |
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314 | timestep = min(timestep, 0.5*cfl*areas[k]/max_speed); |
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315 | if (n>=0) { |
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316 | timestep = min(timestep, 0.5*cfl*areas[n]/max_speed); |
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317 | } |
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318 | } |
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319 | // End edge i (and neighbour n) |
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320 | flux[0] /= areas[k]; |
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321 | area_explicit_update[k] = flux[0]; |
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322 | flux[1] /= areas[k]; |
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323 | discharge_explicit_update[k] = flux[1]; |
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324 | //Keep track of maximal speeds |
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325 | max_speed_array[k]=max_speed; |
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326 | } |
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327 | return timestep; |
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328 | |
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329 | } |
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330 | |
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331 | |
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332 | //------------------------------------------------------------- |
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333 | // Old code |
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334 | //------------------------------------------------------------ |
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335 | //Innermost flux function (using w=z+h) |
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336 | |
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337 | |
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338 | |
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339 | |
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340 | |
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341 | // Computational function for flux computation |
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342 | |
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343 | |
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344 | //========================================================================= |
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345 | // Python Glue |
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346 | //========================================================================= |
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347 | |
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348 | |
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349 | |
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350 | //------------------------------------------------ |
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351 | // New velocity based compute fluxes |
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352 | //------------------------------------------------ |
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353 | |
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354 | PyObject *compute_fluxes_channel_ext(PyObject *self, PyObject *args) { |
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355 | |
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356 | PyObject |
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357 | *domain, |
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358 | *area, |
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359 | *discharge, |
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360 | *bed, |
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361 | *height, |
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362 | *velocity, |
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363 | *width; |
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364 | |
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365 | PyArrayObject |
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366 | *neighbours, |
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367 | *neighbour_vertices, |
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368 | *normals, |
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369 | *areas, |
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370 | *area_vertex_values, |
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371 | *discharge_vertex_values, |
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372 | *bed_vertex_values, |
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373 | *height_vertex_values, |
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374 | *velocity_vertex_values, |
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375 | *width_vertex_values, |
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376 | *area_boundary_values, |
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377 | *discharge_boundary_values, |
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378 | *bed_boundary_values, |
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379 | *height_boundary_values, |
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380 | *velocity_boundary_values, |
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381 | *width_boundary_values, |
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382 | *area_explicit_update, |
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383 | *discharge_explicit_update, |
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384 | *max_speed_array; |
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385 | |
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386 | double timestep, epsilon, g, h0, cfl; |
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387 | int number_of_elements; |
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388 | |
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389 | |
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390 | // Convert Python arguments to C |
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391 | if (!PyArg_ParseTuple(args, "dOOOOOOO", |
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392 | ×tep, |
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393 | &domain, |
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394 | &area, |
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395 | &discharge, |
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396 | &bed, |
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397 | &height, |
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398 | &velocity, |
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399 | &width)) { |
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400 | PyErr_SetString(PyExc_RuntimeError, "comp_flux_channel_ext.c: compute_fluxes_channel_ext could not parse input"); |
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401 | return NULL; |
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402 | } |
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403 | |
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404 | |
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405 | epsilon = get_python_double(domain,"epsilon"); |
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406 | g = get_python_double(domain,"g"); |
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407 | h0 = get_python_double(domain,"h0"); |
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408 | cfl = get_python_double(domain,"CFL"); |
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409 | |
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410 | |
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411 | neighbours = get_consecutive_array(domain, "neighbours"); |
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412 | neighbour_vertices= get_consecutive_array(domain, "neighbour_vertices"); |
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413 | normals = get_consecutive_array(domain, "normals"); |
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414 | areas = get_consecutive_array(domain, "areas"); |
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415 | max_speed_array = get_consecutive_array(domain, "max_speed_array"); |
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416 | |
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417 | area_vertex_values = get_consecutive_array(area, "vertex_values"); |
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418 | discharge_vertex_values = get_consecutive_array(discharge, "vertex_values"); |
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419 | bed_vertex_values = get_consecutive_array(bed, "vertex_values"); |
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420 | height_vertex_values = get_consecutive_array(height, "vertex_values"); |
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421 | velocity_vertex_values = get_consecutive_array(velocity, "vertex_values"); |
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422 | width_vertex_values = get_consecutive_array(width, "vertex_values"); |
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423 | |
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424 | area_boundary_values = get_consecutive_array(area, "boundary_values"); |
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425 | discharge_boundary_values = get_consecutive_array(discharge, "boundary_values"); |
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426 | bed_boundary_values = get_consecutive_array(bed, "boundary_values"); |
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427 | height_boundary_values = get_consecutive_array(height, "boundary_values"); |
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428 | velocity_boundary_values = get_consecutive_array(velocity, "boundary_values"); |
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429 | width_boundary_values = get_consecutive_array(width, "boundary_values"); |
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430 | |
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431 | |
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432 | area_explicit_update = get_consecutive_array(area, "explicit_update"); |
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433 | discharge_explicit_update = get_consecutive_array(discharge, "explicit_update"); |
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434 | |
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435 | number_of_elements = area_vertex_values -> dimensions[0]; |
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436 | |
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437 | // Call underlying flux computation routine and update |
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438 | // the explicit update arrays |
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439 | timestep = _compute_fluxes_channel_ext(cfl, |
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440 | timestep, |
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441 | epsilon, |
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442 | g, |
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443 | h0, |
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444 | (long*) neighbours -> data, |
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445 | (long*) neighbour_vertices -> data, |
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446 | (double*) normals -> data, |
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447 | (double*) areas -> data, |
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448 | (double*) area_vertex_values -> data, |
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449 | (double*) discharge_vertex_values -> data, |
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450 | (double*) bed_vertex_values -> data, |
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451 | (double*) height_vertex_values -> data, |
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452 | (double*) velocity_vertex_values -> data, |
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453 | (double*) width_vertex_values -> data, |
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454 | (double*) area_boundary_values -> data, |
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455 | (double*) discharge_boundary_values -> data, |
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456 | (double*) bed_boundary_values -> data, |
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457 | (double*) height_boundary_values -> data, |
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458 | (double*) velocity_boundary_values -> data, |
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459 | (double*) width_boundary_values -> data, |
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460 | (double*) area_explicit_update -> data, |
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461 | (double*) discharge_explicit_update -> data, |
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462 | number_of_elements, |
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463 | (double*) max_speed_array -> data); |
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464 | |
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465 | |
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466 | Py_DECREF(neighbours); |
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467 | Py_DECREF(neighbour_vertices); |
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468 | Py_DECREF(normals); |
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469 | Py_DECREF(areas); |
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470 | Py_DECREF(area_vertex_values); |
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471 | Py_DECREF(discharge_vertex_values); |
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472 | Py_DECREF(bed_vertex_values); |
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473 | Py_DECREF(height_vertex_values); |
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474 | Py_DECREF(velocity_vertex_values); |
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475 | Py_DECREF(width_vertex_values); |
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476 | Py_DECREF(area_boundary_values); |
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477 | Py_DECREF(discharge_boundary_values); |
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478 | Py_DECREF(bed_boundary_values); |
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479 | Py_DECREF(height_boundary_values); |
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480 | Py_DECREF(velocity_boundary_values); |
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481 | Py_DECREF(width_boundary_values); |
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482 | Py_DECREF(area_explicit_update); |
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483 | Py_DECREF(discharge_explicit_update); |
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484 | Py_DECREF(max_speed_array); |
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485 | |
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486 | |
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487 | // Return updated flux timestep |
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488 | return Py_BuildValue("d", timestep); |
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489 | } |
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490 | |
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491 | |
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492 | //------------------------------- |
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493 | // Method table for python module |
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494 | //------------------------------- |
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495 | |
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496 | static struct PyMethodDef MethodTable[] = { |
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497 | {"compute_fluxes_channel_ext", compute_fluxes_channel_ext, METH_VARARGS, "Print out"}, |
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498 | {NULL} |
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499 | }; |
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500 | |
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501 | /* // Module initialisation */ |
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502 | /* void initcomp_flux_vel_ext(void){ */ |
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503 | /* Py_InitModule("comp_flux_vel_ext", MethodTable); */ |
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504 | /* import_array(); */ |
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505 | /* } */ |
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506 | |
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507 | void initchannel_domain_ext(void){ |
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508 | Py_InitModule("channel_domain_ext", MethodTable); |
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509 | import_array(); |
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510 | } |
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