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40 lines
1.3 KiB
Plaintext
40 lines
1.3 KiB
Plaintext
/*
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This file implements the Central upwind flux
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Copyright (C) 2016, 2017, 2018 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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/**
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* Central upwind flux function
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*/
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__device__ float3 CentralUpwindFlux(const float3 Qm, float3 Qp, const float g) {
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const float3 Fp = F_func(Qp, g);
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const float up = Qp.y / Qp.x; // hu / h
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const float cp = sqrt(g*Qp.x); // sqrt(g*h)
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const float3 Fm = F_func(Qm, g);
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const float um = Qm.y / Qm.x; // hu / h
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const float cm = sqrt(g*Qm.x); // sqrt(g*h)
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const float am = min(min(um-cm, up-cp), 0.0f); // largest negative wave speed
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const float ap = max(max(um+cm, up+cp), 0.0f); // largest positive wave speed
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return ((ap*Fm - am*Fp) + ap*am*(Qp-Qm))/(ap-am);
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}
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