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predictor_corrector_euler.cu
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/**
* @author Christoph Schaefer [email protected]
*
* @section LICENSE
* Copyright (c) 2019 Christoph Schaefer
*
* This file is part of miluphcuda.
*
* miluphcuda 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.
*
* miluphcuda 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 miluphcuda. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* predictor corrector scheme with an initial euler step and the corrector step at half dt */
#include "predictor_corrector_euler.h"
#include "timeintegration.h"
#include "parameter.h"
#include "memory_handling.h"
#include "miluph.h"
#include "pressure.h"
#include "rhs.h"
#include <float.h>
extern __device__ double endTimeD, currentTimeD;
extern __device__ double substep_currentTimeD;
extern __device__ double dt;
extern __device__ int blockCount;
extern __device__ double emin_d;
extern __device__ double Smin_d;
extern __device__ double rhomin_d;
extern __device__ double damagemin_d;
extern __device__ double alphamin_d;
extern __device__ double betamin_d;
extern __device__ double alpha_epspormin_d;
extern __device__ double epsilon_vmin_d;
extern __device__ int pressureChangeSmallEnough;
extern __device__ double maxpressureDiff;
extern double L_ini;
__global__ void CorrectorStep_euler()
{
register int i;
#if SOLID
register int j;
register int k;
#endif
#if GRAVITATING_POINT_MASSES
// pointmass loop
for (i = threadIdx.x + blockIdx.x * blockDim.x; i < numPointmasses; i+= blockDim.x * gridDim.x) {
pointmass.x[i] = pointmass.x[i] + dt/2 * (predictor_pointmass.vx[i] + pointmass.vx[i]);
#if DIM > 1
pointmass.y[i] = pointmass.y[i] + dt/2 * (predictor_pointmass.vy[i] + pointmass.vy[i]);
pointmass.vy[i] = pointmass.vy[i] + dt/2 * (predictor_pointmass.ay[i] + pointmass.ay[i]);
pointmass.ay[i] = 0.5*(predictor_pointmass.ay[i] + pointmass.ay[i]);
#endif
pointmass.vx[i] = pointmass.vx[i] + dt/2 * (predictor_pointmass.ax[i] + pointmass.ax[i]);
pointmass.ax[i] = 0.5*(predictor_pointmass.ax[i] + pointmass.ax[i]);
#if DIM == 3
pointmass.z[i] = pointmass.z[i] + dt/2 * (predictor_pointmass.vz[i] + pointmass.vz[i]);
pointmass.vz[i] = pointmass.vz[i] + dt/2 * (predictor_pointmass.az[i] + pointmass.az[i]);
pointmass.az[i] = 0.5*(predictor_pointmass.az[i] + pointmass.az[i]);
#endif
}
#endif // GRAVITATING_POINT_MASSES
// particle loop
for (i = threadIdx.x + blockIdx.x * blockDim.x; i < numParticles; i+= blockDim.x * gridDim.x) {
p.x[i] = p.x[i] + dt/2 * (predictor.dxdt[i] + p.dxdt[i]);
#if DIM > 1
p.y[i] = p.y[i] + dt/2 * (predictor.dydt[i] + p.dydt[i]);
p.vy[i] = p.vy[i] + dt/2 * (predictor.ay[i] + p.ay[i]);
p.ay[i] = 0.5*(predictor.ay[i] + p.ay[i]);
#endif
p.vx[i] = p.vx[i] + dt/2 * (predictor.ax[i] + p.ax[i]);
p.ax[i] = 0.5*(predictor.ax[i] + p.ax[i]);
#if DIM == 3
p.z[i] = p.z[i] + dt/2 * (predictor.dzdt[i] + p.dzdt[i]);
p.vz[i] = p.vz[i] + dt/2 * (predictor.az[i] + p.az[i]);
p.az[i] = 0.5*(predictor.az[i] + p.az[i]);
#endif
#if INTEGRATE_ENERGY
p.e[i] = p.e[i] + dt/2 * (predictor.dedt[i] + p.dedt[i]);
p.dedt[i] = 0.5*(predictor.dedt[i] + p.dedt[i]);
#endif
#if FRAGMENTATION
p.d[i] = p.d[i] + dt/2 * (predictor.dddt[i] + p.dddt[i]);
p.dddt[i] = 0.5*(predictor.dddt[i] + p.dddt[i]);
#endif
#if INTEGRATE_SML
p.h[i] = p.h[i] + dt/2 * (predictor.dhdt[i] + p.dhdt[i]);
p.dhdt[i] = 0.5 * (predictor.dhdt[i] + p.dhdt[i]);
#else
p.h[i] = predictor.h[i];
#endif
#if JC_PLASTICITY
p.ep[i] = p.ep[i] + dt/2 * (predictor.edotp[i] + p.edotp[i]);
p.edotp[i] = 0.5*(predictor.edotp[i] + p.edotp[i]);
p.T[i] = p.T[i] + dt/2 * (predictor.dTdt[i] + p.dTdt[i]);
p.dTdt[i] = 0.5*(predictor.dTdt[i] + p.dTdt[i]);
#endif
#if FRAGMENTATION
#if PALPHA_POROSITY
// if (p.drhodt[i] > 0 && predictor.p[i] > predictor.pold[i]) {
if (predictor.p[i] > predictor.pold[i]) {
p.damage_porjutzi[i] = p.damage_porjutzi[i] + dt/2 *(predictor.ddamage_porjutzidt[i] + p.ddamage_porjutzidt[i]);
} else {
p.d[i] = p.d[i];
p.damage_porjutzi[i] = p.damage_porjutzi[i];
}
#endif
p.numActiveFlaws[i] = predictor.numActiveFlaws[i];
#endif
// change drhodt after PALPHA_POROSITY
#if INTEGRATE_DENSITY
p.rho[i] = p.rho[i] + dt/2 * (predictor.drhodt[i] + p.drhodt[i]);
p.drhodt[i] = 0.5*(predictor.drhodt[i]+ p.drhodt[i]);
#else
p.rho[i] = p.rho[i];
#endif
#if SIRONO_POROSITY
p.rho_0prime[i] = p.rho_0prime[i];
p.rho_c_plus[i] = p.rho_c_plus[i];
p.rho_c_minus[i] = p.rho_c_minus[i];
p.compressive_strength[i] = p.compressive_strength[i];
p.tensile_strength[i] = p.tensile_strength[i];
p.shear_strength[i] = p.shear_strength[i];
p.K[i] = p.K[i];
p.flag_rho_0prime[i] = p.flag_rho_0prime[i];
p.flag_plastic[i] = p.flag_plastic[i];
#endif
#if EPSALPHA_POROSITY
p.alpha_epspor[i] = p.alpha_epspor[i] + dt/2 * (predictor.dalpha_epspordt[i] + p.dalpha_epspordt[i]);
p.dalpha_epspordt[i] = 0.5*(predictor.dalpha_epspordt[i] + p.dalpha_epspordt[i]);
p.epsilon_v[i] = p.epsilon_v[i] + dt/2 * (predictor.depsilon_vdt[i] + p.depsilon_vdt[i]);
p.depsilon_vdt[i] = 0.5*(predictor.depsilon_vdt[i] + p.depsilon_vdt[i]);
#endif
#if INVISCID_SPH
p.beta[i] = p.beta[i] + dt/2 * (predictor.dbetadt[i] + p.dbetadt[i]);
p.dbetadt[i] = 0.5 * (predictor.dbetadt[i] + p.dbetadt[i]);
#endif
#if SOLID
for (j = 0; j < DIM; j++) {
for (k = 0; k < DIM; k++) {
p.S[stressIndex(i,j,k)] = p.S[stressIndex(i,j,k)] + dt/2 *
(predictor.dSdt[stressIndex(i,j,k)] + p.dSdt[stressIndex(i,j,k)]);
p.dSdt[stressIndex(i,j,k)] = 0.5*(predictor.dSdt[stressIndex(i,j,k)] +
p.dSdt[stressIndex(i,j,k)]);
}
}
#if PALPHA_POROSITY
/* check if we have compaction and change alpha accordingly */
// if (p.drhodt[i] > 0 && predictor.p[i] > predictor.pold[i]) {
if (predictor.p[i] > predictor.pold[i]) {
p.alpha_jutzi[i] = p.alpha_jutzi[i] + dt/2 * ( p.dalphadt[i] + predictor.dalphadt[i]);
} else {
p.alpha_jutzi[i] = p.alpha_jutzi[i];
}
// next line, Oli & Christoph personal communication 2019-06-24
p.p[i] = predictor.p[i];
p.pold[i] = predictor.pold[i];
p.alpha_jutzi_old[i] = p.alpha_jutzi_old[i];
#endif
#endif
}
}
__global__ void PredictorStep_euler()
{
register int i;
#if SOLID
register int j;
register int k;
#endif
#if GRAVITATING_POINT_MASSES
// pointmass loop
for (i = threadIdx.x + blockIdx.x * blockDim.x; i < numPointmasses; i+= blockDim.x * gridDim.x) {
predictor_pointmass.x[i] = pointmass.x[i] + dt * pointmass.vx[i];
predictor_pointmass.vx[i] = pointmass.vx[i] + dt * pointmass.ax[i];
#if DIM > 1
predictor_pointmass.y[i] = pointmass.y[i] + dt * pointmass.vy[i];
predictor_pointmass.vy[i] = pointmass.vy[i] + dt * pointmass.ay[i];
#endif
#if DIM > 2
predictor_pointmass.z[i] = pointmass.z[i] + dt * pointmass.vz[i];
predictor_pointmass.vz[i] = pointmass.vz[i] + dt * pointmass.az[i];
#endif
}
#endif // GRAVITATING_POINT_MASSES
// particle loop
for (i = threadIdx.x + blockIdx.x * blockDim.x; i < numParticles; i+= blockDim.x * gridDim.x) {
predictor.x[i] = p.x[i] + dt * p.dxdt[i];
predictor.vx[i] = p.vx[i] + dt * p.ax[i];
#if DIM > 1
predictor.y[i] = p.y[i] + dt * p.dydt[i];
predictor.vy[i] = p.vy[i] + dt * p.ay[i];
#endif
#if DIM > 2
predictor.z[i] = p.z[i] + dt * p.dzdt[i];
predictor.vz[i] = p.vz[i] + dt * p.az[i];
#endif
#if INTEGRATE_DENSITY
predictor.rho[i] = p.rho[i] + dt * p.drhodt[i];
#else
predictor.rho[i] = p.rho[i];
#endif
predictor.drhodt[i] = p.drhodt[i];
#if INTEGRATE_ENERGY
predictor.e[i] = p.e[i] + dt * p.dedt[i];
#endif
#if INTEGRATE_SML
predictor.h[i] = p.h[i] + dt * p.dhdt[i];
#else
predictor.h[i] = p.h[i];
#endif
#if PALPHA_POROSITY
predictor.alpha_jutzi[i] = p.alpha_jutzi[i] + dt * p.dalphadt[i];
predictor.alpha_jutzi_old[i] = p.alpha_jutzi_old[i];
#endif
#if EPSALPHA_POROSITY
predictor.alpha_epspor[i] = p.alpha_epspor[i] + dt * p.dalpha_epspordt[i];
predictor.epsilon_v[i] = p.epsilon_v[i] + dt * p.depsilon_vdt[i];
#endif
#if FRAGMENTATION
predictor.d[i] = p.d[i] + dt * p.dddt[i];
predictor.numActiveFlaws[i] = p.numActiveFlaws[i];
#if PALPHA_POROSITY
predictor.damage_porjutzi[i] = p.damage_porjutzi[i] + dt * p.ddamage_porjutzidt[i];
// cms 2019-06-25
// pressuremaxchange function will compare predictor.p - predictor.pold and
// calc_pressure in integrator will overwrite predictor.p to the value *after* the test time
// step
//predictor.p[i] = p.p[i];
predictor.pold[i] = p.p[i];
#endif
#endif
#if SIRONO_POROSITY
predictor.rho_0prime[i] = p.rho_0prime[i];
predictor.rho_c_plus[i] = p.rho_c_plus[i];
predictor.rho_c_minus[i] = p.rho_c_minus[i];
predictor.compressive_strength[i] = p.compressive_strength[i];
predictor.tensile_strength[i] = p.tensile_strength[i];
predictor.shear_strength[i] = p.shear_strength[i];
predictor.K[i] = p.K[i];
predictor.flag_rho_0prime[i] = p.flag_rho_0prime[i];
predictor.flag_plastic[i] = p.flag_plastic[i];
#endif
#if JC_PLASTICITY
predictor.ep[i] = p.ep[i] + dt * p.edotp[i];
predictor.T[i] = p.T[i] + dt * p.dTdt[i];
#endif
#if INVISCID_SPH
predictor.beta[i] = p.beta[i] + dt * p.dbetadt[i];
#endif
#if SOLID
for (j = 0; j < DIM; j++) {
for (k = 0; k < DIM; k++) {
predictor.S[stressIndex(i,j,k)] = p.S[stressIndex(i,j,k)] + dt * p.dSdt[stressIndex(i,j,k)];
}
}
#endif
}
}
#if PALPHA_POROSITY
/* check the pressure change to avoid large deviation from the crush-curve */
__global__ void pressureChangeCheck_euler(double *maxpressureDiffPerBlock)
{
__shared__ double sharedMaxpressureDiff[NUM_THREADS_PC_INTEGRATOR];
double localMaxpressureDiff = 0.0;
double tmp = 0;
int i, j, k, m;
maxpressureDiff = 0.0;
for (i = threadIdx.x + blockIdx.x * blockDim.x; i < numParticles; i+= blockDim.x * gridDim.x) {
if (matEOS[p_rhs.materialId[i]] == EOS_TYPE_JUTZI || matEOS[p_rhs.materialId[i]] == EOS_TYPE_JUTZI_MURNAGHAN) {
/* when this function is called, p points to predictor_device */
// only consider pressure if the particle is compressed
if (p.drhodt[i] > 0) {
tmp = (p.p[i] - p.pold[i]);
} else {
tmp = 0;
}
localMaxpressureDiff = max(tmp, localMaxpressureDiff);
}
}
i = threadIdx.x;
sharedMaxpressureDiff[i] = localMaxpressureDiff;
for (j = NUM_THREADS_PC_INTEGRATOR / 2; j > 0; j /= 2) {
__syncthreads();
if (i < j) {
k = i + j;
sharedMaxpressureDiff[i] = localMaxpressureDiff = max(localMaxpressureDiff, sharedMaxpressureDiff[k]);
}
}
// write block result to global memory
if (i == 0) {
k = blockIdx.x;
maxpressureDiffPerBlock[k] = localMaxpressureDiff;
m = gridDim.x - 1;
if (m == atomicInc((unsigned int *)&blockCount, m)) {
// last block, so combine all block results
for (j = 0; j <= m; j++) {
localMaxpressureDiff = max(localMaxpressureDiff, maxpressureDiffPerBlock[j]);
}
maxpressureDiff = localMaxpressureDiff;
// reset block count
blockCount = 0;
}
if (maxpressureDiff > max_abs_pressure_change) {
printf("%e\n", maxpressureDiff);
pressureChangeSmallEnough = FALSE;
dt = 0.25 * dt;
dt = min(dt, endTimeD - currentTimeD);
} else {
pressureChangeSmallEnough = TRUE;
}
}
}
#endif
__global__ void setTimestep_euler(double *forcesPerBlock, double *courantPerBlock, double *dtSPerBlock, double *dtePerBlock, double *dtrhoPerBlock, double *dtdamagePerBlock, double *dtalphaPerBlock, double *dtartviscPerBlock, double *dtbetaPerBlock, double *dtalpha_epsporPerBlock, double *dtepsilon_vPerBlock)
{
#define SAFETY_FIRST 0.1
__shared__ double sharedForces[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedCourant[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedArtVisc[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedS[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharede[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedrho[NUM_THREADS_LIMITTIMESTEP];
__shared__ double shareddamage[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedalpha[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedbeta[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedalpha_epspor[NUM_THREADS_LIMITTIMESTEP];
__shared__ double sharedepsilon_v[NUM_THREADS_LIMITTIMESTEP];
int i, j, k, m;
int d, dd;
int index;
int hasEnergy;
double forces = DBL_MAX, courant = DBL_MAX;
double dtx = DBL_MAX;
double dtS = DBL_MAX;
double dtrho = DBL_MAX;
double dte = DBL_MAX;
double dtdamage = DBL_MAX;
double dtalpha = DBL_MAX;
double dtbeta = DBL_MAX;
double dtalpha_epspor = DBL_MAX;
double dtepsilon_v = DBL_MAX;
double temp;
double sml;
int matId;
#if SOLID
double myS, dS;
#endif
double ax, ay;
#if DIM == 3
double az;
#endif
double dtartvisc = DBL_MAX;
for (i = threadIdx.x + blockIdx.x * blockDim.x; i < numParticles; i+= blockDim.x * gridDim.x) {
matId = p_rhs.materialId[i];
#if INTEGRATE_ENERGY
hasEnergy = 0;
switch (matEOS[matId]) {
case (EOS_TYPE_TILLOTSON):
hasEnergy = 1;
break;
case (EOS_TYPE_JUTZI):
hasEnergy = 1;
break;
case (EOS_TYPE_SIRONO):
hasEnergy = 1;
break;
case (EOS_TYPE_EPSILON):
hasEnergy = 1;
break;
case (EOS_TYPE_ANEOS):
hasEnergy = 1;
break;
default:
hasEnergy = 0;
break;
}
#endif
ax = p.ax[i];
#if DIM > 1
ay = p.ay[i];
#endif
#if DIM == 3
az = p.az[i];
#endif
temp = ax*ax;
#if DIM > 1
temp += + ay*ay;
#endif
#if DIM == 3
temp += az*az;
#endif
;
sml = p.h[i];
temp = sqrt(sml / sqrt(temp));
forces = min(forces, temp);
temp = sml / p.cs[i];
courant = min(courant, temp);
#define CFL 0.7
#if ARTIFICIAL_VISCOSITY
temp = CFL * sml / (p.cs[i] + 1.2 * (matAlpha[matId]) * p.cs[i] + matBeta[matId] *
p.muijmax[i]);
dtartvisc = min(dtartvisc, temp);
#endif
#if INVISCID_SPH
if (p.dbetadt[i] != 0) {
temp = SAFETY_FIRST * (fabs(p.beta[i])+betamin_d)/fabs(p.dbetadt[i]);
dtbeta = min(temp, dtbeta);
}
#endif
#if SOLID
myS = 0;
dS = 0;
for (d = 0; d < DIM; d++) {
for (dd = 0; dd < DIM; dd++) {
index = i*DIM*DIM+d*DIM+dd;
myS = fabs(p.S[index]);
dS = fabs(p.dSdt[index]);
if (dS > 0) {
temp = SAFETY_FIRST * (myS+Smin_d)/dS;
dtS = min(temp, dtS);
}
}
}
#endif
#if INTEGRATE_DENSITY
if (p.drhodt[i] != 0) {
temp = SAFETY_FIRST * (fabs(p.rho[i])+rhomin_d)/fabs(p.drhodt[i]);
dtrho = min(temp, dtrho);
}
#endif
#if INTEGRATE_ENERGY
if (p.dedt[i] != 0 && hasEnergy) {
temp = SAFETY_FIRST * (fabs(p.e[i])+emin_d)/fabs(p.dedt[i]);
dte = min(temp, dte);
}
#endif
#if PALPHA_POROSITY
if (p.dalphadt[i] != 0) {
temp = 1.0e-2 / fabs(p.dalphadt[i]);
dtalpha = min(temp, dtalpha);
}
#endif
#if EPSALPHA_POROSITY
if (p.dalpha_epspordt[i] != 0) {
temp = 1.0e-1 / fabs(p.dalpha_epspordt[i]);
dtalpha_epspor = min(temp, dtalpha_epspor);
}
if (p.depsilon_vdt[i] != 0) {
temp = SAFETY_FIRST * (fabs(p.epsilon_v[i])+epsilon_vmin_d)/fabs(p.depsilon_vdt[i]);
dtepsilon_v = min(temp, dtepsilon_v);
}
#endif
#if FRAGMENTATION
if (p.dddt[i] != 0) {
temp = SAFETY_FIRST * (fabs(p.d[i])+damagemin_d)/fabs(p.dddt[i]);
dtdamage = min(temp, dtdamage);
}
#endif
}
i = threadIdx.x;
sharedForces[i] = forces;
sharedCourant[i] = courant;
sharedS[i] = dtS;
sharede[i] = dte;
sharedrho[i] = dtrho;
shareddamage[i] = dtdamage;
sharedalpha[i] = dtalpha;
sharedalpha_epspor[i] = dtalpha_epspor;
sharedepsilon_v[i] = dtepsilon_v;
#if ARTIFICIAL_VISCOSITY
sharedArtVisc[i] = dtartvisc;
#endif
#if INVISCID_SPH
sharedbeta[i] = dtbeta;
#endif
for (j = NUM_THREADS_LIMITTIMESTEP / 2; j > 0; j /= 2) {
__syncthreads();
if (i < j) {
k = i + j;
sharedForces[i] = forces = min(forces, sharedForces[k]);
sharedCourant[i] = courant = min(courant, sharedCourant[k]);
sharedS[i] = dtS = min(dtS, sharedS[k]);
sharede[i] = dte = min(dte, sharede[k]);
sharedrho[i] = dtrho = min(dtrho, sharedrho[k]);
shareddamage[i] = dtdamage = min(dtdamage, shareddamage[k]);
sharedalpha[i] = dtalpha = min(dtalpha, sharedalpha[k]);
sharedalpha_epspor[i] = dtalpha_epspor = min(dtalpha_epspor, sharedalpha_epspor[k]);
sharedepsilon_v[i] = dtepsilon_v = min(dtepsilon_v, sharedepsilon_v[k]);
#if ARTIFICIAL_VISCOSITY
sharedArtVisc[i] = dtartvisc = min(dtartvisc, sharedArtVisc[k]);
#endif
#if INVISCID_SPH
sharedbeta[i] = dtbeta = min(dtbeta, sharedbeta[k]);
#endif
}
}
// write block result to global memory
if (i == 0) {
k = blockIdx.x;
forcesPerBlock[k] = forces;
courantPerBlock[k] = courant;
dtSPerBlock[k] = dtS;
dtePerBlock[k] = dte;
dtrhoPerBlock[k] = dtrho;
dtdamagePerBlock[k] = dtdamage;
dtalphaPerBlock[k] = dtalpha;
dtalpha_epsporPerBlock[k] = dtalpha_epspor;
dtepsilon_vPerBlock[k] = dtepsilon_v;
#if ARTIFICIAL_VISCOSITY
dtartviscPerBlock[k] = dtartvisc;
#endif
#if INVISCID_SPH
dtbetaPerBlock[k] = dtbeta;
#endif
m = gridDim.x - 1;
if (m == atomicInc((unsigned int *)&blockCount, m)) {
// last block, so combine all block results
for (j = 0; j <= m; j++) {
forces = min(forces, forcesPerBlock[j]);
courant = min(courant, courantPerBlock[j]);
dtS = min(dtS, dtSPerBlock[j]);
dte = min(dte, dtePerBlock[j]);
dtrho = min(dtrho, dtrhoPerBlock[j]);
dtdamage = min(dtdamage, dtdamagePerBlock[j]);
dtalpha = min(dtalpha, dtalphaPerBlock[j]);
dtalpha_epspor = min(dtalpha_epspor, dtalpha_epsporPerBlock[j]);
dtepsilon_v = min(dtepsilon_v, dtepsilon_vPerBlock[j]);
#if ARTIFICIAL_VISCOSITY
dtartvisc = min(dtartvisc, dtartviscPerBlock[j]);
#endif
#if INVISCID_SPH
dtbeta = min(dtbeta, dtbetaPerBlock[j]);
#endif
}
// set new timestep
dt = dtx = min(COURANT*courant, forces*0.2);
#if SOLID
dt = min(dt, dtS);
#endif
#if INTEGRATE_ENERGY
dt = min(dt, dte);
#endif
#if INTEGRATE_DENSITY
dt = min(dt, dtrho);
#endif
#if FRAGMENTATION
dt = min(dt, dtdamage);
#endif
#if PALPHA_POROSITY
// dt = min(dt, dtalpha);
#endif
#if EPSALPHA_POROSITY
dt = min(dt, dtalpha_epspor);
dt = min(dt, dtepsilon_v);
#endif
#if ARTIFICIAL_VISCOSITY
dt = min(dt, dtartvisc);
#endif
#if INVISCID_SPH
dt = min(dt, dtbeta);
#endif
dt = min(dt, endTimeD - currentTimeD);
printf("Time Step Information: dt(v and x): %.17e dtS: %.17e dte: %.17e dtrho: %.17e dtdamage: %.17e dtalpha: %.17e dtalpha_epspor: %.17e dtepsilon_v: %.17e\n", dtx, dtS, dte, dtrho, dtdamage, dtalpha, dtalpha_epspor, dtepsilon_v);
printf("time: %.17e timestep set to %.17e, integrating until %.17e \n", currentTimeD, dt, endTimeD);
#if !PALPHA_POROSITY
currentTimeD += dt;
#endif
// reset block count
blockCount = 0;
}
}
}
void predictor_corrector_euler()
{
double *courantPerBlock, *forcesPerBlock;
double *dtSPerBlock, *dtePerBlock, *dtrhoPerBlock;
double *dtdamagePerBlock;
double *dtalphaPerBlock;
double *dtbetaPerBlock;
double *dtartviscPerBlock;
double *dtalpha_epsporPerBlock;
double *dtepsilon_vPerBlock;
double *maxpressureDiffPerBlock;
int pressureChangeSmallEnough_host;
cudaVerify(cudaMalloc((void**)&courantPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&forcesPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtSPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtePerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtrhoPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtdamagePerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtalphaPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtbetaPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&maxpressureDiffPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtartviscPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtalpha_epsporPerBlock, sizeof(double)*numberOfMultiprocessors));
cudaVerify(cudaMalloc((void**)&dtepsilon_vPerBlock, sizeof(double)*numberOfMultiprocessors));
int lastTimestep = startTimestep + numberOfTimesteps;
int timestep;
double maxpressureDiff_host;
double maxpressureDiff_previous;
int maxpressureDiff_cnt;
double substep_currentTime;
currentTime = startTime;
double endTime = startTime;
int allocate_immutables = 1;
// alloc mem for one rhs
allocate_particles_memory(&predictor_device, allocate_immutables);
copy_particles_immutables_device_to_device(&predictor_device, &p_device);
/* tell the gpu the current time */
cudaVerify(cudaMemcpyToSymbol(currentTimeD, ¤tTime, sizeof(double)));
cudaVerify(cudaMemcpyToSymbol(predictor, &predictor_device, sizeof(struct Particle)));
#if GRAVITATING_POINT_MASSES
allocate_pointmass_memory(&predictor_pointmass_device, allocate_immutables);
copy_pointmass_immutables_device_to_device(&predictor_pointmass_device, &pointmass_device);
cudaVerify(cudaMemcpyToSymbol(predictor_pointmass, &predictor_pointmass_device, sizeof(struct Pointmass)));
#endif
for (timestep = startTimestep; timestep < lastTimestep; timestep++) {
fprintf(stdout, "calculating step %d\n", timestep);
printf("\nstep %d / %d\n", timestep, lastTimestep);
endTime += timePerStep;
fprintf(stdout, " currenttime: %e \t endtime: %e\n", currentTime, endTime);
/* tell the gpu the time step */
if (timePerStep > param.maxtimestep) {
fprintf(stdout, "timestep was larger than maxtimestep given by -M, reducing to %e\n", param.maxtimestep);
cudaVerify(cudaMemcpyToSymbol(dt, ¶m.maxtimestep, sizeof(double)));
} else {
cudaVerify(cudaMemcpyToSymbol(dt, &timePerStep, sizeof(double)));
}
// checking for changes in angular momentum
if (param.angular_momentum_check > 0) {
double L_current = calculate_angular_momentum();
double L_change_relative;
if (L_ini > 0) {
L_change_relative = fabs((L_ini - L_current)/L_ini);
}
if (param.verbose) {
fprintf(stdout, "Checking angular momentum conservation.\n");
fprintf(stdout, "Initial angular momentum: %.17e\n", L_ini);
fprintf(stdout, "Current angular momentum: %.17e\n", L_current);
fprintf(stdout, "Relative change: %.17e\n", L_change_relative);
}
if (L_change_relative > param.angular_momentum_check) {
fprintf(stderr, "Conservation of angular momentum violated. Exiting.\n");
exit(111);
}
}
/* tell the gpu the end time */
cudaVerify(cudaMemcpyToSymbol(endTimeD, &endTime, sizeof(double)));
while (currentTime < endTime) {
cudaVerify(cudaDeviceSynchronize());
// calculate first right hand side with p_device
cudaVerify(cudaMemcpyToSymbol(p, &p_device, sizeof(struct Particle)));
#if GRAVITATING_POINT_MASSES
cudaVerify(cudaMemcpyToSymbol(pointmass, &pointmass_device, sizeof(struct Pointmass)));
#endif
cudaVerify(cudaDeviceSynchronize());
cudaVerify(cudaMemcpyFromSymbol(¤tTime, currentTimeD, sizeof(double)));
substep_currentTime = currentTime;
cudaVerify(cudaMemcpyToSymbol(substep_currentTimeD, &substep_currentTime, sizeof(double)));
rightHandSide();
cudaVerify(cudaDeviceSynchronize());
cudaVerifyKernel((setTimestep_euler<<<numberOfMultiprocessors, NUM_THREADS_LIMITTIMESTEP>>>(
forcesPerBlock, courantPerBlock,
dtSPerBlock, dtePerBlock, dtrhoPerBlock, dtdamagePerBlock,
dtalphaPerBlock, dtartviscPerBlock, dtbetaPerBlock, dtalpha_epsporPerBlock, dtepsilon_vPerBlock)));
cudaVerify(cudaDeviceSynchronize());
/* get the time and the time step from the gpu */
cudaVerify(cudaMemcpyFromSymbol(&dt_host, dt, sizeof(double)));
if (dt_host > param.maxtimestep) {
fprintf(stdout, "Recuding timestep from %e to -M maxtimestep %e\n", dt_host, param.maxtimestep);
dt_host = param.maxtimestep;
cudaVerify(cudaMemcpyToSymbol(dt, &dt_host, sizeof(double)));
}
substep_currentTime = currentTime + dt_host;
cudaVerify(cudaDeviceSynchronize());
pressureChangeSmallEnough_host = FALSE;
maxpressureDiff_cnt = 0;
maxpressureDiff_host = 0;
maxpressureDiff_previous = 0;
while (pressureChangeSmallEnough_host == FALSE) {
// do the predictor step (writes to predictor)
printf("Predictor step with time step: %e at time: %e.\n", dt_host, currentTime);
cudaVerify(cudaMemcpyToSymbol(p, &p_device, sizeof(struct Particle)));
#if GRAVITATING_POINT_MASSES
cudaVerify(cudaMemcpyToSymbol(pointmass, &pointmass_device, sizeof(struct Pointmass)));
#endif
cudaVerifyKernel((PredictorStep_euler<<<numberOfMultiprocessors, NUM_THREADS_PC_INTEGRATOR>>>()));
cudaVerify(cudaDeviceSynchronize());
#define DISABLE_PRESSURE_CHECK_POROSITY_FOR_THE_TIME_BEING 0
#if !DISABLE_PRESSURE_CHECK_POROSITY_FOR_THE_TIME_BEING
#if PALPHA_POROSITY
/* check if the step was too large */
/* check the pressure at predictor step */
cudaVerify(cudaMemcpyToSymbol(p, &predictor_device, sizeof(struct Particle)));
#if GRAVITATING_POINT_MASSES
cudaVerify(cudaMemcpyToSymbol(pointmass, &predictor_pointmass_device, sizeof(struct Pointmass)));
#endif
cudaVerifyKernel((calculatePressure<<<numberOfMultiprocessors * 4, NUM_THREADS_PRESSURE>>>()));
cudaVerify(cudaDeviceSynchronize());
cudaVerify(cudaMemcpyFromSymbol(&dt_host, dt, sizeof(double)));
printf("before pressure change check: dt_host: %e\n", dt_host);
cudaVerifyKernel((pressureChangeCheck_euler<<<numberOfMultiprocessors, NUM_THREADS_PC_INTEGRATOR>>>(maxpressureDiffPerBlock)));
cudaVerify(cudaDeviceSynchronize());
cudaVerify(cudaMemcpyFromSymbol(&pressureChangeSmallEnough_host, pressureChangeSmallEnough, sizeof(int)));
cudaVerify(cudaMemcpyFromSymbol(&maxpressureDiff_host, maxpressureDiff, sizeof(double)));
#else
pressureChangeSmallEnough_host = TRUE;
#endif // PALPHA_POROSITY
#else
pressureChangeSmallEnough_host = TRUE;
#endif // !DISABLE_PRESSURE_CHECK_POROSITY_FOR_THE_TIME_BEING
cudaVerify(cudaMemcpyFromSymbol(&dt_host, dt, sizeof(double)));
printf("after pressure change check: dt_host: %e\n", dt_host);
printf("pressureChangeSmallEnough_host: %d\n", pressureChangeSmallEnough_host);
if (pressureChangeSmallEnough_host == FALSE) {
/* redo predictor step with smaller timestep, derivatives are in p_device */
printf("Reducing timestep due to Pressure Check function to: %.17e\n", dt_host);
if (fabs(maxpressureDiff_host -maxpressureDiff_previous) < 1e-3) {
maxpressureDiff_cnt++;
}
maxpressureDiff_previous = maxpressureDiff_host;
if (maxpressureDiff_cnt > 1) {
printf("Cannot reduce timestep anymore, continuing with dt %.17e and maxpressurediff %.17e", dt_host, maxpressureDiff_host);
pressureChangeSmallEnough_host = TRUE;
}
}
if (pressureChangeSmallEnough_host == TRUE) {
/* okay, step seems good, let's do the corrector step */
currentTime += dt_host;
printf("Timestep okay, doing corrector step.\n");
cudaVerify(cudaMemcpyToSymbol(currentTimeD, ¤tTime, sizeof(double)));
if (param.selfgravity) {
copy_gravitational_accels_device_to_device(&predictor_device, &p_device);
}
/* now righthandside with predictor variables */
cudaVerify(cudaMemcpyToSymbol(p, &predictor_device, sizeof(struct Particle)));
#if GRAVITATING_POINT_MASSES
cudaVerify(cudaMemcpyToSymbol(pointmass, &predictor_pointmass_device, sizeof(struct Pointmass)));
#endif
rightHandSide();
/* now the corrector step with the original values of p_device and the derivatives of p_device and predictor_device */
cudaVerify(cudaMemcpyToSymbol(p, &p_device, sizeof(struct Particle)));
#if GRAVITATING_POINT_MASSES
cudaVerify(cudaMemcpyToSymbol(pointmass, &pointmass_device, sizeof(struct Pointmass)));
#endif
cudaVerifyKernel((CorrectorStep_euler<<<numberOfMultiprocessors, NUM_THREADS_PC_INTEGRATOR>>>()));
}
}
} // current time < end time loop
// write results
#if FRAGMENTATION
cudaVerify(cudaDeviceSynchronize());
cudaVerifyKernel((damageLimit<<<numberOfMultiprocessors*4, NUM_THREADS_PC_INTEGRATOR>>>()));
cudaVerify(cudaDeviceSynchronize());
#endif
copyToHostAndWriteToFile(timestep, lastTimestep);
} // timestep loop
// free memory
int free_immutables = 1;
free_particles_memory(&predictor_device, free_immutables);
#if GRAVITATING_POINT_MASSES
free_pointmass_memory(&predictor_pointmass_device, free_immutables);
#endif
cudaVerify(cudaFree(courantPerBlock));
cudaVerify(cudaFree(forcesPerBlock));
cudaVerify(cudaFree(dtSPerBlock));
cudaVerify(cudaFree(dtePerBlock));
cudaVerify(cudaFree(dtrhoPerBlock));
cudaVerify(cudaFree(dtdamagePerBlock));
cudaVerify(cudaFree(dtalphaPerBlock));
cudaVerify(cudaFree(dtbetaPerBlock));
cudaVerify(cudaFree(dtalpha_epsporPerBlock));
cudaVerify(cudaFree(dtepsilon_vPerBlock));
cudaVerify(cudaFree(dtartviscPerBlock));
cudaVerify(cudaFree(maxpressureDiffPerBlock));
}