/*
This OpenCL kernel implements the Kurganov-Petrova numerical scheme 
for the shallow water equations, described in 
A. Kurganov & Guergana Petrova
A Second-Order Well-Balanced Positivity Preserving Central-Upwind
Scheme for the Saint-Venant System Communications in Mathematical
Sciences, 5 (2007), 133-160. 

Copyright (C) 2016  SINTEF ICT

This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program.  If not, see <http://www.gnu.org/licenses/>.
*/









__device__ float3 F_func(const float3 Q, const float g) {
    float3 F;

    F.x = Q.y;                              //hu
    F.y = Q.y*Q.y / Q.x + 0.5f*g*Q.x*Q.x;   //hu*hu/h + 0.5f*g*h*h;
    F.z = Q.y*Q.z / Q.x;                    //hu*hv/h;

    return F;
}