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58 lines
1.5 KiB
Plaintext
58 lines
1.5 KiB
Plaintext
/*
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This OpenCL kernel implements the Kurganov-Petrova numerical scheme
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for the shallow water equations, described in
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A. Kurganov & Guergana Petrova
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A Second-Order Well-Balanced Positivity Preserving Central-Upwind
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Scheme for the Saint-Venant System Communications in Mathematical
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Sciences, 5 (2007), 133-160.
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Copyright (C) 2016 SINTEF ICT
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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__device__ float pressure(float4 Q, float gamma) {
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const float rho = Q.x;
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const float rho_u = Q.y;
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const float rho_v = Q.z;
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const float E = Q.w;
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return (gamma-1.0f)*(E-0.5f*(rho_u*rho_u + rho_v*rho_v)/rho);
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}
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__device__ float4 F_func(const float4 Q, float gamma) {
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const float rho = Q.x;
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const float rho_u = Q.y;
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const float rho_v = Q.z;
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const float E = Q.w;
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const float u = rho_u/rho;
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const float P = pressure(Q, gamma);
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float4 F;
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F.x = rho_u;
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F.y = rho_u*u + P;
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F.z = rho_v*u;
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F.w = u*(E+P);
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return F;
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} |