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251 lines
10 KiB
Plaintext
251 lines
10 KiB
Plaintext
#include "hip/hip_runtime.h"
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/*
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This kernel implements the Central Upwind flux function to
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solve the Euler equations
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Copyright (C) 2018 SINTEF Digital
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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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#include "common.h"
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#include "EulerCommon.h"
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#include "limiters.h"
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__device__
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void computeFluxF(float Q[4][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
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float Qx[4][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
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float F[4][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
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const float gamma_, const float dx_, const float dt_) {
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for (int j=threadIdx.y; j<BLOCK_HEIGHT+4; j+=BLOCK_HEIGHT) {
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for (int i=threadIdx.x+1; i<BLOCK_WIDTH+2; i+=BLOCK_WIDTH) {
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// Reconstruct point values of Q at the left and right hand side
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// of the cell for both the left (i) and right (i+1) cell
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const float4 Q_rl = make_float4(Q[0][j][i+1] - 0.5f*Qx[0][j][i+1],
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Q[1][j][i+1] - 0.5f*Qx[1][j][i+1],
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Q[2][j][i+1] - 0.5f*Qx[2][j][i+1],
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Q[3][j][i+1] - 0.5f*Qx[3][j][i+1]);
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const float4 Q_rr = make_float4(Q[0][j][i+1] + 0.5f*Qx[0][j][i+1],
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Q[1][j][i+1] + 0.5f*Qx[1][j][i+1],
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Q[2][j][i+1] + 0.5f*Qx[2][j][i+1],
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Q[3][j][i+1] + 0.5f*Qx[3][j][i+1]);
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const float4 Q_ll = make_float4(Q[0][j][i] - 0.5f*Qx[0][j][i],
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Q[1][j][i] - 0.5f*Qx[1][j][i],
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Q[2][j][i] - 0.5f*Qx[2][j][i],
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Q[3][j][i] - 0.5f*Qx[3][j][i]);
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const float4 Q_lr = make_float4(Q[0][j][i] + 0.5f*Qx[0][j][i],
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Q[1][j][i] + 0.5f*Qx[1][j][i],
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Q[2][j][i] + 0.5f*Qx[2][j][i],
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Q[3][j][i] + 0.5f*Qx[3][j][i]);
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//Evolve half a timestep (predictor step)
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const float4 Q_r_bar = Q_rl + dt_/(2.0f*dx_) * (F_func(Q_rl, gamma_) - F_func(Q_rr, gamma_));
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const float4 Q_l_bar = Q_lr + dt_/(2.0f*dx_) * (F_func(Q_ll, gamma_) - F_func(Q_lr, gamma_));
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// Compute flux based on prediction
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//const float4 flux = CentralUpwindFlux(Q_l_bar, Q_r_bar, gamma_);
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const float4 flux = HLL_flux(Q_l_bar, Q_r_bar, gamma_);
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//Write to shared memory
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F[0][j][i] = flux.x;
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F[1][j][i] = flux.y;
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F[2][j][i] = flux.z;
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F[3][j][i] = flux.w;
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}
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}
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}
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__device__
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void computeFluxG(float Q[4][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
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float Qy[4][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
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float G[4][BLOCK_HEIGHT+4][BLOCK_WIDTH+4],
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const float gamma_, const float dy_, const float dt_) {
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for (int j=threadIdx.y+1; j<BLOCK_HEIGHT+2; j+=BLOCK_HEIGHT) {
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for (int i=threadIdx.x; i<BLOCK_WIDTH+4; i+=BLOCK_WIDTH) {
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// Reconstruct point values of Q at the left and right hand side
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// of the cell for both the left (i) and right (i+1) cell
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//NOte that hu and hv are swapped ("transposing" the domain)!
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const float4 Q_rl = make_float4(Q[0][j+1][i] - 0.5f*Qy[0][j+1][i],
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Q[2][j+1][i] - 0.5f*Qy[2][j+1][i],
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Q[1][j+1][i] - 0.5f*Qy[1][j+1][i],
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Q[3][j+1][i] - 0.5f*Qy[3][j+1][i]);
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const float4 Q_rr = make_float4(Q[0][j+1][i] + 0.5f*Qy[0][j+1][i],
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Q[2][j+1][i] + 0.5f*Qy[2][j+1][i],
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Q[1][j+1][i] + 0.5f*Qy[1][j+1][i],
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Q[3][j+1][i] + 0.5f*Qy[3][j+1][i]);
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const float4 Q_ll = make_float4(Q[0][j][i] - 0.5f*Qy[0][j][i],
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Q[2][j][i] - 0.5f*Qy[2][j][i],
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Q[1][j][i] - 0.5f*Qy[1][j][i],
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Q[3][j][i] - 0.5f*Qy[3][j][i]);
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const float4 Q_lr = make_float4(Q[0][j][i] + 0.5f*Qy[0][j][i],
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Q[2][j][i] + 0.5f*Qy[2][j][i],
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Q[1][j][i] + 0.5f*Qy[1][j][i],
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Q[3][j][i] + 0.5f*Qy[3][j][i]);
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//Evolve half a timestep (predictor step)
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const float4 Q_r_bar = Q_rl + dt_/(2.0f*dy_) * (F_func(Q_rl, gamma_) - F_func(Q_rr, gamma_));
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const float4 Q_l_bar = Q_lr + dt_/(2.0f*dy_) * (F_func(Q_ll, gamma_) - F_func(Q_lr, gamma_));
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// Compute flux based on prediction
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const float4 flux = CentralUpwindFlux(Q_l_bar, Q_r_bar, gamma_);
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//const float4 flux = HLL_flux(Q_l_bar, Q_r_bar, gamma_);
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//Write to shared memory
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//Note that we here swap hu and hv back to the original
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G[0][j][i] = flux.x;
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G[1][j][i] = flux.z;
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G[2][j][i] = flux.y;
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G[3][j][i] = flux.w;
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}
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}
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}
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/**
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* This unsplit kernel computes the 2D numerical scheme with a TVD RK2 time integration scheme
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*/
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extern "C" {
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__global__ void KP07DimsplitKernel(
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int nx_, int ny_,
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float dx_, float dy_, float dt_,
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float g_,
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float gamma_,
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float theta_,
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int step_,
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int boundary_conditions_,
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//Input h^n
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float* rho0_ptr_, int rho0_pitch_,
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float* rho_u0_ptr_, int rho_u0_pitch_,
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float* rho_v0_ptr_, int rho_v0_pitch_,
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float* E0_ptr_, int E0_pitch_,
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//Output h^{n+1}
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float* rho1_ptr_, int rho1_pitch_,
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float* rho_u1_ptr_, int rho_u1_pitch_,
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float* rho_v1_ptr_, int rho_v1_pitch_,
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float* E1_ptr_, int E1_pitch_,
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//Output CFL
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float* cfl_,
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//Subarea of internal domain to compute
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int x0=0, int y0=0,
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int x1=0, int y1=0) {
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if(x1 == 0)
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x1 = nx_;
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if(y1 == 0)
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y1 = ny_;
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const unsigned int w = BLOCK_WIDTH;
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const unsigned int h = BLOCK_HEIGHT;
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const unsigned int gc_x = 2;
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const unsigned int gc_y = 2;
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const unsigned int vars = 4;
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//Shared memory variables
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__shared__ float Q[4][h+2*gc_y][w+2*gc_x];
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__shared__ float Qx[4][h+2*gc_y][w+2*gc_x];
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__shared__ float F[4][h+2*gc_y][w+2*gc_x];
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//Read into shared memory
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readBlock<w, h, gc_x, gc_y, 1, 1>( rho0_ptr_, rho0_pitch_, Q[0], nx_, ny_, boundary_conditions_, x0, y0, x1, y1);
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readBlock<w, h, gc_x, gc_y, -1, 1>(rho_u0_ptr_, rho_u0_pitch_, Q[1], nx_, ny_, boundary_conditions_, x0, y0, x1, y1);
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readBlock<w, h, gc_x, gc_y, 1, -1>(rho_v0_ptr_, rho_v0_pitch_, Q[2], nx_, ny_, boundary_conditions_, x0, y0, x1, y1);
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readBlock<w, h, gc_x, gc_y, 1, 1>( E0_ptr_, E0_pitch_, Q[3], nx_, ny_, boundary_conditions_, x0, y0, x1, y1);
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//Step 0 => evolve x first, then y
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if (step_ == 0) {
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//Compute fluxes along the x axis and evolve
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minmodSlopeX<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
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__syncthreads();
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computeFluxF(Q, Qx, F, gamma_, dx_, dt_);
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__syncthreads();
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evolveF<w, h, gc_x, gc_y, vars>(Q, F, dx_, dt_);
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__syncthreads();
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//Compute fluxes along the y axis and evolve
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minmodSlopeY<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
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__syncthreads();
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computeFluxG(Q, Qx, F, gamma_, dy_, dt_);
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__syncthreads();
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evolveG<w, h, gc_x, gc_y, vars>(Q, F, dy_, dt_);
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__syncthreads();
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//Gravity source term
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if (g_ > 0.0f) {
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const int i = threadIdx.x + gc_x;
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const int j = threadIdx.y + gc_y;
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const float rho_v = Q[2][j][i];
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Q[2][j][i] -= g_*Q[0][j][i]*dt_;
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Q[3][j][i] -= g_*rho_v*dt_;
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__syncthreads();
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}
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}
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//Step 1 => evolve y first, then x
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else {
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//Compute fluxes along the y axis and evolve
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minmodSlopeY<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
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__syncthreads();
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computeFluxG(Q, Qx, F, gamma_, dy_, dt_);
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__syncthreads();
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evolveG<w, h, gc_x, gc_y, vars>(Q, F, dy_, dt_);
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__syncthreads();
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//Compute fluxes along the x axis and evolve
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minmodSlopeX<w, h, gc_x, gc_y, vars>(Q, Qx, theta_);
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__syncthreads();
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computeFluxF(Q, Qx, F, gamma_, dx_, dt_);
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__syncthreads();
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evolveF<w, h, gc_x, gc_y, vars>(Q, F, dx_, dt_);
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__syncthreads();
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//Gravity source term
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if (g_ > 0.0f) {
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const int i = threadIdx.x + gc_x;
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const int j = threadIdx.y + gc_y;
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const float rho_v = Q[2][j][i];
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Q[2][j][i] -= g_*Q[0][j][i]*dt_;
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Q[3][j][i] -= g_*rho_v*dt_;
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__syncthreads();
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}
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}
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// Write to main memory for all internal cells
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writeBlock<w, h, gc_x, gc_y>( rho1_ptr_, rho1_pitch_, Q[0], nx_, ny_, 0, 1, x0, y0, x1, y1);
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writeBlock<w, h, gc_x, gc_y>(rho_u1_ptr_, rho_u1_pitch_, Q[1], nx_, ny_, 0, 1, x0, y0, x1, y1);
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writeBlock<w, h, gc_x, gc_y>(rho_v1_ptr_, rho_v1_pitch_, Q[2], nx_, ny_, 0, 1, x0, y0, x1, y1);
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writeBlock<w, h, gc_x, gc_y>( E1_ptr_, E1_pitch_, Q[3], nx_, ny_, 0, 1, x0, y0, x1, y1);
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//Compute the CFL for this block
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if (cfl_ != NULL) {
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writeCfl<w, h, gc_x, gc_y, vars>(Q, F[0], nx_, ny_, dx_, dy_, gamma_, cfl_);
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}
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}
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} // extern "C"
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