2024-02-27 15:49:56 +01:00

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/*
This OpenCL kernel implements the second order HLL flux
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/>.
*/
#include "common.h"
#include "SWECommon.h"
#include "limiters.h"
/**
* Computes the flux along the x axis for all faces
*/
__device__
void computeFluxF(float Q[3][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
float Qx[3][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
float F[3][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
const float g_, const float dx_, const float dt_) {
for (int j=threadIdx.y; j<BLOCK_HEIGHT+4; j+=BLOCK_HEIGHT) {
for (int i=threadIdx.x+1; i<BLOCK_WIDTH+2; i+=BLOCK_WIDTH) {
// Reconstruct point values of Q at the left and right hand side
// of the cell for both the left (i) and right (i+1) cell
const float3 Q_rl = make_float3(Q[0][j][i+1] - 0.5f*Qx[0][j][i+1],
Q[1][j][i+1] - 0.5f*Qx[1][j][i+1],
Q[2][j][i+1] - 0.5f*Qx[2][j][i+1]);
const float3 Q_rr = make_float3(Q[0][j][i+1] + 0.5f*Qx[0][j][i+1],
Q[1][j][i+1] + 0.5f*Qx[1][j][i+1],
Q[2][j][i+1] + 0.5f*Qx[2][j][i+1]);
const float3 Q_ll = make_float3(Q[0][j][i] - 0.5f*Qx[0][j][i],
Q[1][j][i] - 0.5f*Qx[1][j][i],
Q[2][j][i] - 0.5f*Qx[2][j][i]);
const float3 Q_lr = make_float3(Q[0][j][i] + 0.5f*Qx[0][j][i],
Q[1][j][i] + 0.5f*Qx[1][j][i],
Q[2][j][i] + 0.5f*Qx[2][j][i]);
//Evolve half a timestep (predictor step)
const float3 Q_r_bar = Q_rl + dt_/(2.0f*dx_) * (F_func(Q_rl, g_) - F_func(Q_rr, g_));
const float3 Q_l_bar = Q_lr + dt_/(2.0f*dx_) * (F_func(Q_ll, g_) - F_func(Q_lr, g_));
// Compute flux based on prediction
const float3 flux = HLL_flux(Q_l_bar, Q_r_bar, g_);
//Write to shared memory
F[0][j][i] = flux.x;
F[1][j][i] = flux.y;
F[2][j][i] = flux.z;
}
}
}
/**
* Computes the flux along the x axis for all faces
*/
__device__
void computeFluxG(float Q[3][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
float Qy[3][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
float G[3][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
const float g_, const float dy_, const float dt_) {
for (int j=threadIdx.y+1; j<BLOCK_HEIGHT+2; j+=BLOCK_HEIGHT) {
for (int i=threadIdx.x; i<BLOCK_WIDTH+4; i+=BLOCK_WIDTH) {
// Reconstruct point values of Q at the left and right hand side
// of the cell for both the left (i) and right (i+1) cell
//NOte that hu and hv are swapped ("transposing" the domain)!
const float3 Q_rl = make_float3(Q[0][j+1][i] - 0.5f*Qy[0][j+1][i],
Q[2][j+1][i] - 0.5f*Qy[2][j+1][i],
Q[1][j+1][i] - 0.5f*Qy[1][j+1][i]);
const float3 Q_rr = make_float3(Q[0][j+1][i] + 0.5f*Qy[0][j+1][i],
Q[2][j+1][i] + 0.5f*Qy[2][j+1][i],
Q[1][j+1][i] + 0.5f*Qy[1][j+1][i]);
const float3 Q_ll = make_float3(Q[0][j][i] - 0.5f*Qy[0][j][i],
Q[2][j][i] - 0.5f*Qy[2][j][i],
Q[1][j][i] - 0.5f*Qy[1][j][i]);
const float3 Q_lr = make_float3(Q[0][j][i] + 0.5f*Qy[0][j][i],
Q[2][j][i] + 0.5f*Qy[2][j][i],
Q[1][j][i] + 0.5f*Qy[1][j][i]);
//Evolve half a timestep (predictor step)
const float3 Q_r_bar = Q_rl + dt_/(2.0f*dy_) * (F_func(Q_rl, g_) - F_func(Q_rr, g_));
const float3 Q_l_bar = Q_lr + dt_/(2.0f*dy_) * (F_func(Q_ll, g_) - F_func(Q_lr, g_));
// Compute flux based on prediction
const float3 flux = HLL_flux(Q_l_bar, Q_r_bar, g_);
//Write to shared memory
//Note that we here swap hu and hv back to the original
G[0][j][i] = flux.x;
G[1][j][i] = flux.z;
G[2][j][i] = flux.y;
}
}
}
extern "C" {
__global__ void HLL2Kernel(
int nx_, int ny_,
float dx_, float dy_, float dt_,
float g_,
float theta_,
int step_,
int boundary_conditions_,
//Input h^n
float* h0_ptr_, int h0_pitch_,
float* hu0_ptr_, int hu0_pitch_,
float* hv0_ptr_, int hv0_pitch_,
//Output h^{n+1}
float* h1_ptr_, int h1_pitch_,
float* hu1_ptr_, int hu1_pitch_,
float* hv1_ptr_, int hv1_pitch_,
//Output CFL
float* cfl_) {
const unsigned int w = BLOCK_WIDTH;
const unsigned int h = BLOCK_HEIGHT;
const unsigned int gc_x = 2;
const unsigned int gc_y = 2;
const unsigned int vars = 3;
//Shared memory variables
__shared__ float Q[3][h+4][w+4];
__shared__ float Qx[3][h+4][w+4];
__shared__ float F[3][h+4][w+4];
//Read into shared memory
readBlock<w, h, gc_x, gc_y, 1, 1>( h0_ptr_, h0_pitch_, Q[0], nx_, ny_, boundary_conditions_);
readBlock<w, h, gc_x, gc_y, -1, 1>(hu0_ptr_, hu0_pitch_, Q[1], nx_, ny_, boundary_conditions_);
readBlock<w, h, gc_x, gc_y, 1, -1>(hv0_ptr_, hv0_pitch_, Q[2], nx_, ny_, boundary_conditions_);
//Step 0 => evolve x first, then y
if (step_ == 0) {
//Compute fluxes along the x axis and evolve
minmodSlopeX<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
__syncthreads();
computeFluxF(Q, Qx, F, g_, dx_, dt_);
__syncthreads();
evolveF<w, h, gc_x, gc_y, vars>(Q, F, dx_, dt_);
__syncthreads();
//Compute fluxes along the y axis and evolve
minmodSlopeY<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
__syncthreads();
computeFluxG(Q, Qx, F, g_, dy_, dt_);
__syncthreads();
evolveG<w, h, gc_x, gc_y, vars>(Q, F, dy_, dt_);
__syncthreads();
}
//Step 1 => evolve y first, then x
else {
//Compute fluxes along the y axis and evolve
minmodSlopeY<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
__syncthreads();
computeFluxG(Q, Qx, F, g_, dy_, dt_);
__syncthreads();
evolveG<w, h, gc_x, gc_y, vars>(Q, F, dy_, dt_);
__syncthreads();
//Compute fluxes along the x axis and evolve
minmodSlopeX<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
__syncthreads();
computeFluxF(Q, Qx, F, g_, dx_, dt_);
__syncthreads();
evolveF<w, h, gc_x, gc_y, vars>(Q, F, dx_, dt_);
__syncthreads();
}
// Write to main memory for all internal cells
writeBlock<w, h, gc_x, gc_y>( h1_ptr_, h1_pitch_, Q[0], nx_, ny_, 0, 1);
writeBlock<w, h, gc_x, gc_y>(hu1_ptr_, hu1_pitch_, Q[1], nx_, ny_, 0, 1);
writeBlock<w, h, gc_x, gc_y>(hv1_ptr_, hv1_pitch_, Q[2], nx_, ny_, 0, 1);
//Compute the CFL for this block
if (cfl_ != NULL) {
writeCfl<w, h, gc_x, gc_y, vars>(Q, F[0], nx_, ny_, dx_, dy_, g_, cfl_);
}
}
} // extern "C"