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 | #include "util_ext.h" |
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6 | const double pi = 3.14159265358979; |
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7 | |
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8 | //Innermost flux function (using w=z+h) |
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9 | int _flux_function_wellbalanced(double *q_left, |
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10 | double *q_right, |
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11 | double normals, |
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12 | double g, |
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13 | double epsilon, |
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14 | double *edgeflux, |
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15 | double *max_speed) { |
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16 | int i; |
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17 | double z_in, z_out; |
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18 | double flux_in[2], flux_out[2]; |
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19 | double z_star, w_in, h_in, h_in_star, uh_in, soundspeed_in, u_in; |
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20 | double w_out, h_out, h_out_star, uh_out, soundspeed_out, u_out; |
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21 | double s_max, s_min, denom; |
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22 | |
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23 | w_in = q_left[0]; |
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24 | uh_in = q_left[1]; |
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25 | uh_in = uh_in*normals; |
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26 | z_in = q_left[2]; |
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27 | h_in = q_left[3]; |
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28 | u_in = q_left[4]; |
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29 | u_in = u_in*normals; |
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30 | |
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31 | w_out = q_right[0]; |
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32 | uh_out = q_right[1]; |
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33 | uh_out = uh_out*normals; |
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34 | z_out = q_right[2]; |
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35 | h_out = q_right[3]; |
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36 | u_out = q_right[4]; |
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37 | u_out = u_out*normals; |
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38 | |
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39 | //printf("------------------ \n"); |
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40 | //printf("w_in = %f \n", w_in); |
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41 | //printf("uh_in = %f \n", uh_in); |
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42 | //printf("z_in = %f \n", z_in); |
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43 | //printf("h_in = %f \n", h_in); |
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44 | //printf("u_in = %f \n", u_in); |
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45 | //printf("------------------ \n"); |
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46 | //printf("w_out = %f \n", w_out); |
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47 | //printf("uh_out = %f \n", uh_out); |
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48 | //printf("z_out = %f \n", z_out); |
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49 | //printf("h_out = %f \n", h_out); |
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50 | //printf("u_out = %f \n", u_out); |
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51 | //////if (z_left-z_right != 0.0 ) printf("z_l - z_r = %f \n",z_left-z_right); |
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52 | |
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53 | |
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54 | z_star = max(z_in, z_out); //equation(7) |
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55 | |
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56 | // Compute speeds in x-direction. |
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57 | h_in_star = max(0.0, w_in-z_star); //equation(8) |
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58 | |
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59 | //if (h_in_star < epsilon) { |
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60 | // u_in = 0.0; h_in_star = 0.0; |
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61 | //} |
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62 | //else { |
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63 | // u_in = uh_in/h_in_star; |
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64 | //} |
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65 | //if (h_in_star < epsilon) { |
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66 | //h_in_star = 0.0; |
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67 | //} |
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68 | |
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69 | h_out_star = max(0.0, w_out-z_star); //equation(9) |
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70 | |
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71 | //if (h_out_star < epsilon) { |
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72 | // u_out = 0.0; h_out_star = 0.0; |
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73 | //} |
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74 | //else { |
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75 | // u_out = uh_out/h_out_star; |
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76 | //} |
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77 | |
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78 | //printf("u_left = %g u_right = %g \n",u_left, u_right); |
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79 | soundspeed_in = sqrt(g*h_in_star); |
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80 | soundspeed_out = sqrt(g*h_out_star); |
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81 | |
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82 | s_max = max(u_in+soundspeed_in, u_out+soundspeed_out); |
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83 | if (s_max < 0.0) s_max = 0.0; |
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84 | |
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85 | s_min = min(u_in-soundspeed_in, u_out-soundspeed_out); |
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86 | if (s_min > 0.0) s_min = 0.0; |
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87 | |
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88 | |
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89 | // Flux formulas |
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90 | flux_in[0] = u_in*h_in_star; |
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91 | flux_in[1] = u_in*u_in*h_in_star + 0.5*g*h_in_star*h_in_star; |
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92 | |
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93 | flux_out[0] = u_out*h_out_star; |
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94 | flux_out[1] = u_out*u_out*h_out_star + 0.5*g*h_out_star*h_out_star; |
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95 | |
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96 | // Flux computation |
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97 | denom = s_max-s_min; |
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98 | |
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99 | //printf("Edge Mass Flux = %f \n", edgeflux[0]); |
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100 | //printf("Edge Momentum Flux = %f \n", edgeflux[1]); |
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101 | |
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102 | if (denom < epsilon && z_out > z_in) { |
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103 | for (i=0; i<2; i++) edgeflux[i] = 0.0; |
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104 | // Maximal wavespeed |
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105 | edgeflux[1] = edgeflux[1] + (0.5*g*h_in*h_in - 0.5*g*h_in_star*h_in_star ); |
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106 | edgeflux[1] *= normals; |
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107 | *max_speed = 0.0; |
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108 | //printf("Part 1 \n"); |
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109 | } else if (denom < epsilon) { |
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110 | for (i=0; i<2; i++) edgeflux[i] = 0.0; |
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111 | // Maximal wavespeed |
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112 | *max_speed = 0.0; |
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113 | //printf("Part 2 \n"); |
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114 | //} else if (w_out < z_in) { |
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115 | // for (i=0; i<2; i++) edgeflux[i] = 0.0; |
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116 | // *max_speed = 0.0; |
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117 | } else { |
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118 | edgeflux[0] = s_max*flux_in[0] - s_min*flux_out[0]; |
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119 | edgeflux[0] += s_max*s_min*(h_out_star-h_in_star); |
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120 | edgeflux[0] /= denom; |
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121 | edgeflux[1] = s_max*flux_in[1] - s_min*flux_out[1]; |
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122 | edgeflux[1] += s_max*s_min*(flux_out[0]-flux_in[0]); |
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123 | edgeflux[1] /= denom; |
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124 | edgeflux[1] = edgeflux[1] + (0.5*g*h_in*h_in - 0.5*g*h_in_star*h_in_star); |
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125 | edgeflux[1] *= normals; |
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126 | // Maximal wavespeed |
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127 | *max_speed = max(fabs(s_max), fabs(s_min)); |
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128 | //printf("Part 3 \n"); |
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129 | } |
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130 | //printf("Edge Mass Flux = %f \n", edgeflux[0]); |
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131 | //printf("Edge Momentum Flux = %f \n", edgeflux[1]); |
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132 | |
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133 | return 0; |
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134 | } |
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135 | |
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136 | |
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137 | |
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138 | |
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139 | // Computational function for flux computation |
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140 | double _compute_fluxes_ext_wellbalanced(double timestep, |
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141 | double epsilon, |
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142 | double g, |
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143 | |
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144 | long* neighbours, |
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145 | long* neighbour_vertices, |
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146 | double* normals, |
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147 | double* areas, |
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148 | |
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149 | double* stage_edge_values, |
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150 | double* xmom_edge_values, |
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151 | double* bed_edge_values, |
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152 | double* height_edge_values, |
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153 | double* vel_edge_values, |
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154 | |
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155 | double* stage_boundary_values, |
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156 | double* xmom_boundary_values, |
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157 | double* bed_boundary_values, |
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158 | double* height_boundary_values, |
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159 | double* vel_boundary_values, |
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160 | |
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161 | double* stage_explicit_update, |
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162 | double* xmom_explicit_update, |
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163 | double* bed_explicit_update, |
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164 | double* height_explicit_update, |
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165 | double* vel_explicit_update, |
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166 | |
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167 | int number_of_elements, |
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168 | double* max_speed_array) { |
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169 | |
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170 | double flux[2], ql[5], qr[5], edgeflux[2]; |
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171 | double max_speed, normal; |
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172 | int k, i, ki, n, m, nm=0; |
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173 | |
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174 | for (k=0; k<number_of_elements; k++) { |
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175 | flux[0] = 0.0; |
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176 | flux[1] = 0.0; |
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177 | |
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178 | //printf("==================================== \n"); |
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179 | //printf("==================================== \n"); |
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180 | //printf("cell_number = %i \n",k); |
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181 | |
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182 | for (i=0; i<2; i++) { |
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183 | |
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184 | //printf("......................... \n"); |
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185 | //printf("interface = %i \n",i); |
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186 | |
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187 | ki = k*2+i; |
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188 | |
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189 | ql[0] = stage_edge_values[ki]; |
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190 | ql[1] = xmom_edge_values[ki]; |
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191 | ql[2] = bed_edge_values[ki]; |
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192 | ql[3] = height_edge_values[ki]; |
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193 | ql[4] = vel_edge_values[ki]; |
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194 | |
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195 | n = neighbours[ki]; |
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196 | //printf("neighbours[ki] = %li \n",neighbours[ki]); |
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197 | if (n<0) { |
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198 | m = -n-1; |
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199 | qr[0] = stage_boundary_values[m]; |
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200 | qr[1] = xmom_boundary_values[m]; |
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201 | qr[2] = ql[2]; |
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202 | qr[3] = height_edge_values[m]; |
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203 | qr[4] = vel_edge_values[m]; |
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204 | |
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205 | } else { |
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206 | m = neighbour_vertices[ki]; |
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207 | nm = n*2+m; |
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208 | qr[0] = stage_edge_values[nm]; |
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209 | qr[1] = xmom_edge_values[nm]; |
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210 | qr[2] = bed_edge_values[nm]; |
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211 | qr[3] = height_edge_values[nm]; |
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212 | qr[4] = vel_edge_values[nm]; |
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213 | } |
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214 | |
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215 | //Added condition!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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216 | //if (qr[0] < ql[2]) { |
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217 | //ql[4] = 0.0; |
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218 | //vel_edge_values[ki] = 0.0; |
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219 | //} |
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220 | //if (qr[2] > ql[2]) { |
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221 | //ql[1] = 0.0; |
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222 | //ql[4] = 0.0; |
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223 | //} |
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224 | |
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225 | normal = normals[ki]; |
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226 | _flux_function_wellbalanced(ql, qr, normal, g, epsilon, edgeflux, &max_speed); |
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227 | flux[0] -= edgeflux[0]; |
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228 | flux[1] -= edgeflux[1]; |
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229 | |
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230 | // Update timestep based on edge i and possibly neighbour n |
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231 | if (max_speed > epsilon) { |
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232 | // Original CFL calculation |
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233 | timestep = min(timestep, 0.5*areas[k]/max_speed); //Here, CFL=1.0 is assumed. |
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234 | if (n>=0) { |
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235 | timestep = min(timestep, 0.5*areas[n]/max_speed); //Here, CFL=1.0 is assumed. |
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236 | } |
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237 | } |
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238 | } // End edge i (and neighbour n) |
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239 | flux[0] /= areas[k]; |
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240 | stage_explicit_update[k] = flux[0]; |
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241 | flux[1] /= areas[k]; |
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242 | xmom_explicit_update[k] = flux[1]; |
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243 | |
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244 | //printf("......................... \n"); |
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245 | //printf("areas = %f \n", areas[k]); |
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246 | //printf("Mass Flux in this cell = %f \n",flux[0]); |
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247 | //printf("Momentum Flux in this cell = %f \n",flux[1]); |
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248 | //printf("stage_explicit_update in this cell = %f \n",stage_explicit_update[k]); |
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249 | //printf("xmom_explicit_update in this cell = %f \n",xmom_explicit_update[k]); |
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250 | |
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251 | |
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252 | //Keep track of maximal speeds |
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253 | max_speed_array[k]=max_speed; |
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254 | } |
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255 | |
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256 | return timestep; |
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257 | } |
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258 | |
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259 | |
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260 | |
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261 | |
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262 | |
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263 | |
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264 | //========================================================================= |
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265 | // Python Glue |
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266 | //========================================================================= |
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267 | PyObject *compute_fluxes_ext_wellbalanced(PyObject *self, PyObject *args) { |
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268 | |
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269 | PyArrayObject |
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270 | *neighbours, |
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271 | *neighbour_vertices, |
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272 | *normals, |
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273 | *areas, |
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274 | |
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275 | *stage_edge_values, |
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276 | *xmom_edge_values, |
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277 | *bed_edge_values, |
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278 | *height_edge_values, |
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279 | *vel_edge_values, |
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280 | |
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281 | *stage_boundary_values, |
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282 | *xmom_boundary_values, |
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283 | *bed_boundary_values, |
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284 | *height_boundary_values, |
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285 | *vel_boundary_values, |
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286 | |
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287 | *stage_explicit_update, |
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288 | *xmom_explicit_update, |
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289 | *bed_explicit_update, |
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290 | *height_explicit_update, |
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291 | *vel_explicit_update, |
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292 | |
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293 | *max_speed_array; |
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294 | |
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295 | double timestep, epsilon, g; |
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296 | int number_of_elements; |
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297 | |
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298 | // Convert Python arguments to C |
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299 | if (!PyArg_ParseTuple(args, "dddOOOOOOOOOOOOOOOOOOOiO", |
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300 | ×tep, |
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301 | &epsilon, |
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302 | &g, |
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303 | |
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304 | &neighbours, |
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305 | &neighbour_vertices, |
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306 | &normals, |
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307 | &areas, |
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308 | |
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309 | &stage_edge_values, |
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310 | &xmom_edge_values, |
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311 | &bed_edge_values, |
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312 | &height_edge_values, |
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313 | &vel_edge_values, |
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314 | |
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315 | &stage_boundary_values, |
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316 | &xmom_boundary_values, |
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317 | &bed_boundary_values, |
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318 | &height_boundary_values, |
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319 | &vel_boundary_values, |
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320 | |
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321 | &stage_explicit_update, |
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322 | &xmom_explicit_update, |
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323 | &bed_explicit_update, |
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324 | &height_explicit_update, |
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325 | &vel_explicit_update, |
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326 | |
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327 | &number_of_elements, |
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328 | &max_speed_array)) { |
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329 | PyErr_SetString(PyExc_RuntimeError, "comp_flux_ext_wellbalanced.c: compute_fluxes_ext_wellbalanced could not parse input"); |
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330 | return NULL; |
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331 | } |
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332 | |
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333 | |
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334 | // Call underlying flux computation routine and update |
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335 | // the explicit update arrays |
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336 | timestep = _compute_fluxes_ext_wellbalanced(timestep, |
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337 | epsilon, |
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338 | g, |
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339 | |
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340 | (long*) neighbours -> data, |
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341 | (long*) neighbour_vertices -> data, |
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342 | (double*) normals -> data, |
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343 | (double*) areas -> data, |
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344 | |
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345 | (double*) stage_edge_values -> data, |
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346 | (double*) xmom_edge_values -> data, |
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347 | (double*) bed_edge_values -> data, |
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348 | (double*) height_edge_values -> data, |
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349 | (double*) vel_edge_values -> data, |
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350 | |
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351 | (double*) stage_boundary_values -> data, |
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352 | (double*) xmom_boundary_values -> data, |
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353 | (double*) bed_boundary_values -> data, |
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354 | (double*) height_boundary_values -> data, |
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355 | (double*) vel_boundary_values -> data, |
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356 | |
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357 | (double*) stage_explicit_update -> data, |
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358 | (double*) xmom_explicit_update -> data, |
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359 | (double*) bed_explicit_update -> data, |
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360 | (double*) height_explicit_update -> data, |
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361 | (double*) vel_explicit_update -> data, |
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362 | |
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363 | number_of_elements, |
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364 | (double*) max_speed_array -> data); |
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365 | |
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366 | // Return updated flux timestep |
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367 | return Py_BuildValue("d", timestep); |
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368 | } |
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369 | |
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370 | |
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371 | |
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372 | //------------------------------- |
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373 | // Method table for python module |
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374 | //------------------------------- |
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375 | |
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376 | static struct PyMethodDef MethodTable[] = { |
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377 | {"compute_fluxes_ext_wellbalanced", compute_fluxes_ext_wellbalanced, METH_VARARGS, "Print out"}, |
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378 | {NULL, NULL} |
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379 | }; |
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380 | |
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381 | // Module initialisation |
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382 | void initcomp_flux_ext_wellbalanced(void){ |
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383 | Py_InitModule("comp_flux_ext_wellbalanced", MethodTable); |
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384 | import_array(); |
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385 | } |
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