[7827] | 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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