WIP: Pull Request for a complete Solver package #1
@@ -1,5 +1,5 @@
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# Supported: GCC, CLANG, ICC
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TAG ?= CLANG
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TAG ?= ICC
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ENABLE_OPENMP ?= false
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#Feature options
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										10100
									
								
								BasicSolver/2D-mpi-v1/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										10100
									
								
								BasicSolver/2D-mpi-v1/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							@@ -17,9 +17,12 @@
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#include "timing.h"
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#include <mpi.h>
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int main(int argc, char** argv)
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enum VARIANT { SOR = 1, RB, RBA };
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int main (int argc, char** argv)
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{
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    int rank;
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    int variant = SOR;
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    double S, E;
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    Parameter params;
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    Solver solver;
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@@ -28,12 +31,16 @@ int main(int argc, char** argv)
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    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
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    initParameter(¶ms);
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    if (argc != 2) {
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    if (argc < 2) {
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        printf("Usage: %s <configFile>\n", argv[0]);
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        exit(EXIT_SUCCESS);
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    }
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    readParameter(¶ms, argv[1]);
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    if (argc == 3) 
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    {
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        variant = atoi(argv[2]);
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    }
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    if (rank == 0) {
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        printParameter(¶ms);
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    }
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@@ -45,7 +52,10 @@ int main(int argc, char** argv)
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    double t   = 0.0;
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    S = getTimeStamp();
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    while (t <= te) {
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    switch (variant) {
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    case SOR:
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        printf("Plain SOR\n");
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        while (t <= te) {
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        if (tau > 0.0) {
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            computeTimestep(&solver);
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        }
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@@ -56,7 +66,6 @@ int main(int argc, char** argv)
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        computeRHS(&solver);
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        solve(&solver);
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        adaptUV(&solver);
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        /* exit(EXIT_SUCCESS); */
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        t += solver.dt;
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#ifdef VERBOSE
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@@ -67,6 +76,57 @@ int main(int argc, char** argv)
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        printProgress(t);
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#endif
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    }
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        break;
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    case RB:
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        printf("Red-black SOR\n");
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        while (t <= te) {
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        if (tau > 0.0) {
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            computeTimestep(&solver);
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        }
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        setBoundaryConditions(&solver);
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        setSpecialBoundaryCondition(&solver);
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        computeFG(&solver);
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        computeRHS(&solver);
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        solveRB(&solver);
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        adaptUV(&solver);
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        t += solver.dt;
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#ifdef VERBOSE
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        if (rank == 0) {
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            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
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        }
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#else
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        printProgress(t);
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#endif
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    }
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        break;
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    case RBA:
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        printf("Red-black SOR with acceleration\n");
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        while (t <= te) {
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        if (tau > 0.0) {
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            computeTimestep(&solver);
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        }
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        setBoundaryConditions(&solver);
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        setSpecialBoundaryCondition(&solver);
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        computeFG(&solver);
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        computeRHS(&solver);
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        solveRBA(&solver);
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        adaptUV(&solver);
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        t += solver.dt;
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#ifdef VERBOSE
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        if (rank == 0) {
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            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
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        }
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#else
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        printProgress(t);
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#endif
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    }
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        break;
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    }
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    E = getTimeStamp();
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    stopProgress();
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    if (rank == 0) {
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@@ -24,6 +24,8 @@ void initParameter(Parameter* param)
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    param->re      = 100.0;
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    param->gamma   = 0.9;
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    param->tau     = 0.5;
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    param->rho     = 0.99;
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}
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void readParameter(Parameter* param, const char* filename)
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@@ -78,6 +80,8 @@ void readParameter(Parameter* param, const char* filename)
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            PARSE_REAL(u_init);
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            PARSE_REAL(v_init);
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            PARSE_REAL(p_init);
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            PARSE_REAL(rho);
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        }
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    }
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@@ -11,7 +11,7 @@ typedef struct {
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    double xlength, ylength;
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    int imax, jmax;
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    int itermax;
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    double eps, omg;
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    double eps, omg, rho;
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    double re, tau, gamma;
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    double te, dt;
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    double gx, gy;
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@@ -231,6 +231,8 @@ void initSolver(Solver* solver, Parameter* params)
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    solver->te        = params->te;
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    solver->tau       = params->tau;
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    solver->gamma     = params->gamma;
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    solver->rho       = params->rho;
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    int imax        = solver->imax;
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    int jmaxLocal   = solver->jmaxLocal;
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@@ -349,6 +351,142 @@ void solve(Solver* solver)
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#endif
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}
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void solveRB(Solver* solver)
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{
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    int imax      = solver->imax;
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    int jmax      = solver->jmax;
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    int jmaxLocal = solver->jmaxLocal;
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    double eps    = solver->eps;
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    int itermax   = solver->itermax;
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    double dx2    = solver->dx * solver->dx;
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    double dy2    = solver->dy * solver->dy;
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    double idx2   = 1.0 / dx2;
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    double idy2   = 1.0 / dy2;
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    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
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    double* p     = solver->p;
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    double* rhs   = solver->rhs;
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    double epssq  = eps * eps;
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    int it        = 0;
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    double res    = 1.0;
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    while ((res >= epssq) && (it < itermax)) {
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        res = 0.0;
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        exchange(solver, p);
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        for (int j = 1; j < jmaxLocal + 1; j++) {
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            for (int i = 1; i < imax + 1; i++) {
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                double r = RHS(i, j) -
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                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
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                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
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                P(i, j) -= (factor * r);
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                res += (r * r);
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            }
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        }
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        if (solver->rank == 0) {
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            for (int i = 1; i < imax + 1; i++) {
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                P(i, 0) = P(i, 1);
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            }
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        }
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        if (solver->rank == (solver->size - 1)) {
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            for (int i = 1; i < imax + 1; i++) {
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                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
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            }
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        }
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        for (int j = 1; j < jmaxLocal + 1; j++) {
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            P(0, j)        = P(1, j);
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            P(imax + 1, j) = P(imax, j);
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        }
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        MPI_Allreduce(MPI_IN_PLACE, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
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        res = res / (double)(imax * jmax);
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#ifdef DEBUG
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        if (solver->rank == 0) {
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            printf("%d Residuum: %e\n", it, res);
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        }
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#endif
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        it++;
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    }
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#ifdef VERBOSE
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    if (solver->rank == 0) {
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        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
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    }
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#endif
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}
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void solveRBA(Solver* solver)
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{
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    int imax      = solver->imax;
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    int jmax      = solver->jmax;
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    int jmaxLocal = solver->jmaxLocal;
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    double eps    = solver->eps;
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    int itermax   = solver->itermax;
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    double dx2    = solver->dx * solver->dx;
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    double dy2    = solver->dy * solver->dy;
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    double idx2   = 1.0 / dx2;
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    double idy2   = 1.0 / dy2;
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    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
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    double* p     = solver->p;
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    double* rhs   = solver->rhs;
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    double epssq  = eps * eps;
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    int it        = 0;
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    double res    = 1.0;
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    while ((res >= epssq) && (it < itermax)) {
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        res = 0.0;
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        exchange(solver, p);
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        for (int j = 1; j < jmaxLocal + 1; j++) {
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            for (int i = 1; i < imax + 1; i++) {
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                double r = RHS(i, j) -
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                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
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                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
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                P(i, j) -= (factor * r);
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                res += (r * r);
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            }
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        }
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        if (solver->rank == 0) {
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            for (int i = 1; i < imax + 1; i++) {
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                P(i, 0) = P(i, 1);
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            }
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        }
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        if (solver->rank == (solver->size - 1)) {
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            for (int i = 1; i < imax + 1; i++) {
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                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
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            }
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        }
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        for (int j = 1; j < jmaxLocal + 1; j++) {
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            P(0, j)        = P(1, j);
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            P(imax + 1, j) = P(imax, j);
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        }
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        MPI_Allreduce(MPI_IN_PLACE, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
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        res = res / (double)(imax * jmax);
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#ifdef DEBUG
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        if (solver->rank == 0) {
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            printf("%d Residuum: %e\n", it, res);
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        }
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#endif
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        it++;
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    }
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#ifdef VERBOSE
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    if (solver->rank == 0) {
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        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
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    }
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#endif
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}
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static double maxElement(Solver* solver, double* m)
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{
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    int size      = (solver->imax + 2) * (solver->jmaxLocal + 2);
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@@ -21,7 +21,7 @@ typedef struct {
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    double *f, *g;
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    double *u, *v;
 | 
			
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    /* parameters */
 | 
			
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    double eps, omega;
 | 
			
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    double eps, omega, rho;
 | 
			
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    double re, tau, gamma;
 | 
			
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    double gx, gy;
 | 
			
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    /* time stepping */
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@@ -38,6 +38,8 @@ typedef struct {
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void initSolver(Solver*, Parameter*);
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void computeRHS(Solver*);
 | 
			
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void solve(Solver*);
 | 
			
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void solveRB(Solver*);
 | 
			
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void solveRBA(Solver*);
 | 
			
		||||
void normalizePressure(Solver*);
 | 
			
		||||
void computeTimestep(Solver*);
 | 
			
		||||
void setBoundaryConditions(Solver*);
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										10000
									
								
								BasicSolver/2D-mpi-v1/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										10000
									
								
								BasicSolver/2D-mpi-v1/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							
							
								
								
									
										
											BIN
										
									
								
								BasicSolver/2D-mpi-v1/velocity.png
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										
											BIN
										
									
								
								BasicSolver/2D-mpi-v1/velocity.png
									
									
									
									
									
										Normal file
									
								
							
										
											Binary file not shown.
										
									
								
							| 
		 After Width: | Height: | Size: 206 KiB  | 
@@ -41,6 +41,7 @@ tau      0.5     # safety factor for time stepsize control (<0 constant delt)
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itermax       500       # maximal number of pressure iteration in one time step
 | 
			
		||||
eps           0.00001   # stopping tolerance for pressure iteration
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rho           0.9999
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omg           1.8       # relaxation parameter for SOR iteration
 | 
			
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gamma         0.9       # upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
@@ -1,5 +1,5 @@
 | 
			
		||||
# Supported: GCC, CLANG, ICC
 | 
			
		||||
TAG ?= CLANG
 | 
			
		||||
TAG ?= ICC
 | 
			
		||||
ENABLE_OPENMP ?= false
 | 
			
		||||
 | 
			
		||||
#Feature options
 | 
			
		||||
 
 | 
			
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@@ -42,5 +42,6 @@ tau     0.5		# safety factor for time stepsize control (<0 constant delt)
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itermax  1000		# maximal number of pressure iteration in one time step
 | 
			
		||||
eps      0.001		# stopping tolerance for pressure iteration
 | 
			
		||||
omg      1.7		# relaxation parameter for SOR iteration
 | 
			
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rho      0.9999		# 
 | 
			
		||||
gamma    0.9		# upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										9900
									
								
								BasicSolver/2D-mpi-v2/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										9900
									
								
								BasicSolver/2D-mpi-v2/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							@@ -16,9 +16,12 @@
 | 
			
		||||
#include "solver.h"
 | 
			
		||||
#include "timing.h"
 | 
			
		||||
 | 
			
		||||
int main(int argc, char** argv)
 | 
			
		||||
enum VARIANT { SOR = 1, RB, RBA };
 | 
			
		||||
 | 
			
		||||
int main (int argc, char** argv)
 | 
			
		||||
{
 | 
			
		||||
    int rank;
 | 
			
		||||
    int variant = SOR;
 | 
			
		||||
    double S, E;
 | 
			
		||||
    Parameter params;
 | 
			
		||||
    Solver solver;
 | 
			
		||||
@@ -27,12 +30,16 @@ int main(int argc, char** argv)
 | 
			
		||||
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
 | 
			
		||||
    initParameter(¶ms);
 | 
			
		||||
 | 
			
		||||
    if (argc != 2) {
 | 
			
		||||
    if (argc < 2) {
 | 
			
		||||
        printf("Usage: %s <configFile>\n", argv[0]);
 | 
			
		||||
        exit(EXIT_SUCCESS);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    readParameter(¶ms, argv[1]);
 | 
			
		||||
    if (argc == 3) 
 | 
			
		||||
    {
 | 
			
		||||
        variant = atoi(argv[2]);
 | 
			
		||||
    }
 | 
			
		||||
    if (rank == 0) {
 | 
			
		||||
        printParameter(¶ms);
 | 
			
		||||
    }
 | 
			
		||||
@@ -47,7 +54,10 @@ int main(int argc, char** argv)
 | 
			
		||||
    double t   = 0.0;
 | 
			
		||||
 | 
			
		||||
    S = getTimeStamp();
 | 
			
		||||
    while (t <= te) {
 | 
			
		||||
    switch (variant) {
 | 
			
		||||
    case SOR:
 | 
			
		||||
        printf("Plain SOR\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
@@ -67,6 +77,56 @@ int main(int argc, char** argv)
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    case RB:
 | 
			
		||||
        printf("Red-black SOR\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        solveRB(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        if (rank == 0) {
 | 
			
		||||
            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        }
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    case RBA:
 | 
			
		||||
        printf("Red-black SOR with acceleration\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        solveRBA(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        if (rank == 0) {
 | 
			
		||||
            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        }
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    }
 | 
			
		||||
    E = getTimeStamp();
 | 
			
		||||
    stopProgress();
 | 
			
		||||
 
 | 
			
		||||
@@ -21,6 +21,8 @@ void initParameter(Parameter* param)
 | 
			
		||||
    param->itermax = 1000;
 | 
			
		||||
    param->eps     = 0.0001;
 | 
			
		||||
    param->omg     = 1.8;
 | 
			
		||||
    param->rho     = 0.99;
 | 
			
		||||
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
@@ -75,6 +77,8 @@ void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
            PARSE_REAL(u_init);
 | 
			
		||||
            PARSE_REAL(v_init);
 | 
			
		||||
            PARSE_REAL(p_init);
 | 
			
		||||
            PARSE_REAL(rho);
 | 
			
		||||
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 
 | 
			
		||||
@@ -11,7 +11,7 @@ typedef struct {
 | 
			
		||||
    double xlength, ylength;
 | 
			
		||||
    int imax, jmax;
 | 
			
		||||
    int itermax;
 | 
			
		||||
    double eps, omg;
 | 
			
		||||
    double eps, omg, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double te, dt;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
 
 | 
			
		||||
@@ -401,6 +401,8 @@ void initSolver(Solver* solver, Parameter* params)
 | 
			
		||||
    solver->te      = params->te;
 | 
			
		||||
    solver->tau     = params->tau;
 | 
			
		||||
    solver->gamma   = params->gamma;
 | 
			
		||||
    solver->rho     = params->rho;
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    /* setup communication */
 | 
			
		||||
    MPI_Comm_rank(MPI_COMM_WORLD, &(solver->rank));
 | 
			
		||||
@@ -565,6 +567,168 @@ int solve(Solver* solver)
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRB(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = solver->imax;
 | 
			
		||||
    int jmax      = solver->jmax;
 | 
			
		||||
    int imaxLocal = solver->imaxLocal;
 | 
			
		||||
    int jmaxLocal = solver->jmaxLocal;
 | 
			
		||||
    double eps    = solver->eps;
 | 
			
		||||
    int itermax   = solver->itermax;
 | 
			
		||||
    double dx2    = solver->dx * solver->dx;
 | 
			
		||||
    double dy2    = solver->dy * solver->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = solver->p;
 | 
			
		||||
    double* rhs   = solver->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        exchange(solver, p);
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
 | 
			
		||||
                double r = RHS(i, j) -
 | 
			
		||||
                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                P(i, j) -= (factor * r);
 | 
			
		||||
                res += (r * r);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == 0) { // set bottom bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, 0) = P(i, 1);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == (solver->dims[JDIM] - 1)) { // set top bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == 0) { // set left bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(0, j) = P(1, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == (solver->dims[IDIM] - 1)) { // set right bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(imaxLocal + 1, j) = P(imaxLocal, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        MPI_Allreduce(MPI_IN_PLACE, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        if (solver->rank == 0) {
 | 
			
		||||
            printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
        }
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
    if (solver->rank == 0) {
 | 
			
		||||
        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
    }
 | 
			
		||||
#endif
 | 
			
		||||
    if (res < eps) {
 | 
			
		||||
        return 0;
 | 
			
		||||
    } else {
 | 
			
		||||
        return 1;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRBA(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = solver->imax;
 | 
			
		||||
    int jmax      = solver->jmax;
 | 
			
		||||
    int imaxLocal = solver->imaxLocal;
 | 
			
		||||
    int jmaxLocal = solver->jmaxLocal;
 | 
			
		||||
    double eps    = solver->eps;
 | 
			
		||||
    int itermax   = solver->itermax;
 | 
			
		||||
    double dx2    = solver->dx * solver->dx;
 | 
			
		||||
    double dy2    = solver->dy * solver->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = solver->p;
 | 
			
		||||
    double* rhs   = solver->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        exchange(solver, p);
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
 | 
			
		||||
                double r = RHS(i, j) -
 | 
			
		||||
                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                P(i, j) -= (factor * r);
 | 
			
		||||
                res += (r * r);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == 0) { // set bottom bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, 0) = P(i, 1);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == (solver->dims[JDIM] - 1)) { // set top bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == 0) { // set left bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(0, j) = P(1, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == (solver->dims[IDIM] - 1)) { // set right bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(imaxLocal + 1, j) = P(imaxLocal, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        MPI_Allreduce(MPI_IN_PLACE, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        if (solver->rank == 0) {
 | 
			
		||||
            printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
        }
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
    if (solver->rank == 0) {
 | 
			
		||||
        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
    }
 | 
			
		||||
#endif
 | 
			
		||||
    if (res < eps) {
 | 
			
		||||
        return 0;
 | 
			
		||||
    } else {
 | 
			
		||||
        return 1;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
static double maxElement(Solver* solver, double* m)
 | 
			
		||||
{
 | 
			
		||||
    int size      = (solver->imaxLocal + 2) * (solver->jmaxLocal + 2);
 | 
			
		||||
 
 | 
			
		||||
@@ -21,7 +21,7 @@ typedef struct {
 | 
			
		||||
    double *f, *g;
 | 
			
		||||
    double *u, *v;
 | 
			
		||||
    /* parameters */
 | 
			
		||||
    double eps, omega;
 | 
			
		||||
    double eps, omega, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
    /* time stepping */
 | 
			
		||||
@@ -43,6 +43,8 @@ typedef struct {
 | 
			
		||||
void initSolver(Solver*, Parameter*);
 | 
			
		||||
void computeRHS(Solver*);
 | 
			
		||||
int solve(Solver*);
 | 
			
		||||
int solveRB(Solver*);
 | 
			
		||||
int solveRBA(Solver*);
 | 
			
		||||
void computeTimestep(Solver*);
 | 
			
		||||
void setBoundaryConditions(Solver*);
 | 
			
		||||
void setSpecialBoundaryCondition(Solver*);
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										9801
									
								
								BasicSolver/2D-mpi-v2/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										9801
									
								
								BasicSolver/2D-mpi-v2/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							
							
								
								
									
										
											BIN
										
									
								
								BasicSolver/2D-mpi-v2/velocity.png
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										
											BIN
										
									
								
								BasicSolver/2D-mpi-v2/velocity.png
									
									
									
									
									
										Normal file
									
								
							
										
											Binary file not shown.
										
									
								
							| 
		 After Width: | Height: | Size: 184 KiB  | 
@@ -7,10 +7,10 @@
 | 
			
		||||
 | 
			
		||||
name canal             # name of flow setup
 | 
			
		||||
 | 
			
		||||
bcN     1              #  flags for boundary conditions
 | 
			
		||||
bcE     3              #  1 = no-slip      3 = outflow
 | 
			
		||||
bcS     1              #  2 = free-slip    4 = periodic
 | 
			
		||||
bcW     3              #
 | 
			
		||||
bcTop      1			#  flags for boundary conditions
 | 
			
		||||
bcBottom   1			#  1 = no-slip      3 = outflow
 | 
			
		||||
bcLeft     3			#  2 = free-slip    4 = periodic
 | 
			
		||||
bcRight    3			#
 | 
			
		||||
 | 
			
		||||
gx     0.0      # Body forces (e.g. gravity)
 | 
			
		||||
gy     0.0      #
 | 
			
		||||
@@ -41,6 +41,7 @@ tau      0.5     # safety factor for time stepsize control (<0 constant delt)
 | 
			
		||||
 | 
			
		||||
itermax       500       # maximal number of pressure iteration in one time step
 | 
			
		||||
eps           0.00001   # stopping tolerance for pressure iteration
 | 
			
		||||
rho           0.9999  	#
 | 
			
		||||
omg           1.8       # relaxation parameter for SOR iteration
 | 
			
		||||
gamma         0.9       # upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
@@ -1,5 +1,5 @@
 | 
			
		||||
# Supported: GCC, CLANG, ICC
 | 
			
		||||
TAG ?= CLANG
 | 
			
		||||
TAG ?= ICC
 | 
			
		||||
ENABLE_OPENMP ?= false
 | 
			
		||||
 | 
			
		||||
#Feature options
 | 
			
		||||
 
 | 
			
		||||
@@ -41,6 +41,7 @@ tau     0.5		# safety factor for time stepsize control (<0 constant delt)
 | 
			
		||||
 | 
			
		||||
itermax  1000		# maximal number of pressure iteration in one time step
 | 
			
		||||
eps      0.001		# stopping tolerance for pressure iteration
 | 
			
		||||
rho      0.9999		#
 | 
			
		||||
omg      1.7		# relaxation parameter for SOR iteration
 | 
			
		||||
gamma    0.9		# upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										9900
									
								
								BasicSolver/2D-mpi-v3/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										9900
									
								
								BasicSolver/2D-mpi-v3/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							@@ -16,9 +16,14 @@
 | 
			
		||||
#include "timing.h"
 | 
			
		||||
#include <mpi.h>
 | 
			
		||||
 | 
			
		||||
int main(int argc, char** argv)
 | 
			
		||||
 | 
			
		||||
enum VARIANT { SOR = 1, RB, RBA };
 | 
			
		||||
 | 
			
		||||
int main (int argc, char** argv)
 | 
			
		||||
{
 | 
			
		||||
    int rank;
 | 
			
		||||
    int variant = SOR;
 | 
			
		||||
 | 
			
		||||
    double S, E;
 | 
			
		||||
    Parameter params;
 | 
			
		||||
    Solver solver;
 | 
			
		||||
@@ -27,12 +32,16 @@ int main(int argc, char** argv)
 | 
			
		||||
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
 | 
			
		||||
    initParameter(¶ms);
 | 
			
		||||
 | 
			
		||||
    if (argc != 2) {
 | 
			
		||||
    if (argc < 2) {
 | 
			
		||||
        printf("Usage: %s <configFile>\n", argv[0]);
 | 
			
		||||
        exit(EXIT_SUCCESS);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    readParameter(¶ms, argv[1]);
 | 
			
		||||
    if (argc == 3) 
 | 
			
		||||
    {
 | 
			
		||||
        variant = atoi(argv[2]);
 | 
			
		||||
    }
 | 
			
		||||
    if (rank == 0) {
 | 
			
		||||
        printParameter(¶ms);
 | 
			
		||||
    }
 | 
			
		||||
@@ -44,7 +53,10 @@ int main(int argc, char** argv)
 | 
			
		||||
    double t   = 0.0;
 | 
			
		||||
 | 
			
		||||
    S = getTimeStamp();
 | 
			
		||||
    while (t <= te) {
 | 
			
		||||
    switch (variant) {
 | 
			
		||||
    case SOR:
 | 
			
		||||
        printf("Plain SOR\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
@@ -65,6 +77,57 @@ int main(int argc, char** argv)
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    case RB:
 | 
			
		||||
        printf("Red-black SOR\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        solveRB(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        if (rank == 0) {
 | 
			
		||||
            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        }
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    case RBA:
 | 
			
		||||
        printf("Red-black SOR with acceleration\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        solveRBA(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        if (rank == 0) {
 | 
			
		||||
            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        }
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    E = getTimeStamp();
 | 
			
		||||
    stopProgress();
 | 
			
		||||
    if (rank == 0) {
 | 
			
		||||
 
 | 
			
		||||
@@ -24,6 +24,8 @@ void initParameter(Parameter* param)
 | 
			
		||||
    param->re      = 100.0;
 | 
			
		||||
    param->gamma   = 0.9;
 | 
			
		||||
    param->tau     = 0.5;
 | 
			
		||||
    param->rho     = 0.99;
 | 
			
		||||
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
@@ -78,6 +80,8 @@ void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
            PARSE_REAL(u_init);
 | 
			
		||||
            PARSE_REAL(v_init);
 | 
			
		||||
            PARSE_REAL(p_init);
 | 
			
		||||
            PARSE_REAL(rho);
 | 
			
		||||
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 
 | 
			
		||||
@@ -11,7 +11,7 @@ typedef struct {
 | 
			
		||||
    double xlength, ylength;
 | 
			
		||||
    int imax, jmax;
 | 
			
		||||
    int itermax;
 | 
			
		||||
    double eps, omg;
 | 
			
		||||
    double eps, omg, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double te, dt;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
 
 | 
			
		||||
@@ -313,6 +313,8 @@ void initSolver(Solver* solver, Parameter* params)
 | 
			
		||||
    solver->te       = params->te;
 | 
			
		||||
    solver->tau      = params->tau;
 | 
			
		||||
    solver->gamma    = params->gamma;
 | 
			
		||||
    solver->rho      = params->rho;
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    /* setup communication */
 | 
			
		||||
    MPI_Comm_rank(MPI_COMM_WORLD, &(solver->rank));
 | 
			
		||||
@@ -498,6 +500,170 @@ int solve(Solver* solver)
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRB(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = solver->imax;
 | 
			
		||||
    int jmax      = solver->jmax;
 | 
			
		||||
    int imaxLocal = solver->imaxLocal;
 | 
			
		||||
    int jmaxLocal = solver->jmaxLocal;
 | 
			
		||||
    double eps    = solver->eps;
 | 
			
		||||
    int itermax   = solver->itermax;
 | 
			
		||||
    double dx2    = solver->dx * solver->dx;
 | 
			
		||||
    double dy2    = solver->dy * solver->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    // identical to 1/((2/dx2)+(2/dy2))
 | 
			
		||||
    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = solver->p;
 | 
			
		||||
    double* rhs   = solver->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        exchange(solver, p);
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
 | 
			
		||||
                double r = RHS(i, j) -
 | 
			
		||||
                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                P(i, j) -= (factor * r);
 | 
			
		||||
                res += (r * r);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == 0) { // set bottom bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, 0) = P(i, 1);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == (solver->dims[JDIM] - 1)) { // set top bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == 0) { // set left bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(0, j) = P(1, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == (solver->dims[IDIM] - 1)) { // set right bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(imaxLocal + 1, j) = P(imaxLocal, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        MPI_Allreduce(MPI_IN_PLACE, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        if (solver->rank == 0) {
 | 
			
		||||
            printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
        }
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
    if (solver->rank == 0) {
 | 
			
		||||
        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
    }
 | 
			
		||||
#endif
 | 
			
		||||
    if (res < eps) {
 | 
			
		||||
        return 0;
 | 
			
		||||
    } else {
 | 
			
		||||
        return 1;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRBA(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = solver->imax;
 | 
			
		||||
    int jmax      = solver->jmax;
 | 
			
		||||
    int imaxLocal = solver->imaxLocal;
 | 
			
		||||
    int jmaxLocal = solver->jmaxLocal;
 | 
			
		||||
    double eps    = solver->eps;
 | 
			
		||||
    int itermax   = solver->itermax;
 | 
			
		||||
    double dx2    = solver->dx * solver->dx;
 | 
			
		||||
    double dy2    = solver->dy * solver->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    // identical to 1/((2/dx2)+(2/dy2))
 | 
			
		||||
    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = solver->p;
 | 
			
		||||
    double* rhs   = solver->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        exchange(solver, p);
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
 | 
			
		||||
                double r = RHS(i, j) -
 | 
			
		||||
                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                P(i, j) -= (factor * r);
 | 
			
		||||
                res += (r * r);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == 0) { // set bottom bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, 0) = P(i, 1);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[JDIM] == (solver->dims[JDIM] - 1)) { // set top bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == 0) { // set left bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(0, j) = P(1, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (solver->coords[IDIM] == (solver->dims[IDIM] - 1)) { // set right bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(imaxLocal + 1, j) = P(imaxLocal, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        MPI_Allreduce(MPI_IN_PLACE, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        if (solver->rank == 0) {
 | 
			
		||||
            printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
        }
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
    if (solver->rank == 0) {
 | 
			
		||||
        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
    }
 | 
			
		||||
#endif
 | 
			
		||||
    if (res < eps) {
 | 
			
		||||
        return 0;
 | 
			
		||||
    } else {
 | 
			
		||||
        return 1;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
static double maxElement(Solver* solver, double* m)
 | 
			
		||||
{
 | 
			
		||||
    int size      = (solver->imaxLocal + 2) * (solver->jmaxLocal + 2);
 | 
			
		||||
 
 | 
			
		||||
@@ -23,7 +23,7 @@ typedef struct {
 | 
			
		||||
    double *f, *g;
 | 
			
		||||
    double *u, *v;
 | 
			
		||||
    /* parameters */
 | 
			
		||||
    double eps, omega;
 | 
			
		||||
    double eps, omega, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
    /* time stepping */
 | 
			
		||||
@@ -46,6 +46,8 @@ typedef struct {
 | 
			
		||||
void initSolver(Solver*, Parameter*);
 | 
			
		||||
void computeRHS(Solver*);
 | 
			
		||||
int solve(Solver*);
 | 
			
		||||
int solveRB(Solver*);
 | 
			
		||||
int solveRBA(Solver*);
 | 
			
		||||
void computeTimestep(Solver*);
 | 
			
		||||
void setBoundaryConditions(Solver*);
 | 
			
		||||
void setSpecialBoundaryCondition(Solver*);
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										9801
									
								
								BasicSolver/2D-mpi-v3/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										9801
									
								
								BasicSolver/2D-mpi-v3/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							
							
								
								
									
										
											BIN
										
									
								
								BasicSolver/2D-mpi-v3/velocity.png
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										
											BIN
										
									
								
								BasicSolver/2D-mpi-v3/velocity.png
									
									
									
									
									
										Normal file
									
								
							
										
											Binary file not shown.
										
									
								
							| 
		 After Width: | Height: | Size: 169 KiB  | 
@@ -41,6 +41,7 @@ tau      0.5     # safety factor for time stepsize control (<0 constant delt)
 | 
			
		||||
 | 
			
		||||
itermax       500       # maximal number of pressure iteration in one time step
 | 
			
		||||
eps           0.00001   # stopping tolerance for pressure iteration
 | 
			
		||||
rho           0.9999 
 | 
			
		||||
omg           1.8       # relaxation parameter for SOR iteration
 | 
			
		||||
gamma         0.9       # upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
@@ -41,6 +41,7 @@ tau     0.5		# safety factor for time stepsize control (<0 constant delt)
 | 
			
		||||
 | 
			
		||||
itermax  1000		# maximal number of pressure iteration in one time step
 | 
			
		||||
eps      0.001		# stopping tolerance for pressure iteration
 | 
			
		||||
rho      0.9999
 | 
			
		||||
omg      1.7		# relaxation parameter for SOR iteration
 | 
			
		||||
gamma    0.9		# upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										9900
									
								
								BasicSolver/2D-mpi/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										9900
									
								
								BasicSolver/2D-mpi/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							@@ -17,9 +17,14 @@
 | 
			
		||||
#include "timing.h"
 | 
			
		||||
#include <mpi.h>
 | 
			
		||||
 | 
			
		||||
int main(int argc, char** argv)
 | 
			
		||||
 | 
			
		||||
enum VARIANT { SOR = 1, RB, RBA };
 | 
			
		||||
 | 
			
		||||
int main (int argc, char** argv)
 | 
			
		||||
{
 | 
			
		||||
    int rank;
 | 
			
		||||
    int variant = SOR;
 | 
			
		||||
 | 
			
		||||
    double S, E;
 | 
			
		||||
    Parameter params;
 | 
			
		||||
    Solver solver;
 | 
			
		||||
@@ -28,12 +33,16 @@ int main(int argc, char** argv)
 | 
			
		||||
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
 | 
			
		||||
    initParameter(¶ms);
 | 
			
		||||
 | 
			
		||||
    if (argc != 2) {
 | 
			
		||||
    if (argc < 2) {
 | 
			
		||||
        printf("Usage: %s <configFile>\n", argv[0]);
 | 
			
		||||
        exit(EXIT_SUCCESS);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    readParameter(¶ms, argv[1]);
 | 
			
		||||
    if (argc == 3) 
 | 
			
		||||
    {
 | 
			
		||||
        variant = atoi(argv[2]);
 | 
			
		||||
    }
 | 
			
		||||
    if (rank == 0) {
 | 
			
		||||
        printParameter(¶ms);
 | 
			
		||||
    }
 | 
			
		||||
@@ -47,7 +56,11 @@ int main(int argc, char** argv)
 | 
			
		||||
    double t   = 0.0;
 | 
			
		||||
 | 
			
		||||
    S = getTimeStamp();
 | 
			
		||||
    while (t <= te) {
 | 
			
		||||
    
 | 
			
		||||
    switch (variant) {
 | 
			
		||||
    case SOR:
 | 
			
		||||
        printf("Plain SOR\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
@@ -68,6 +81,58 @@ int main(int argc, char** argv)
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    case RB:
 | 
			
		||||
        printf("Red-black SOR\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        solveRB(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        if (rank == 0) {
 | 
			
		||||
            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        }
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    case RBA:
 | 
			
		||||
        printf("Red-black SOR with acceleration\n");
 | 
			
		||||
        while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) {
 | 
			
		||||
            computeTimestep(&solver);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        solveRBA(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        if (rank == 0) {
 | 
			
		||||
            printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        }
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
    }
 | 
			
		||||
        break;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    E = getTimeStamp();
 | 
			
		||||
    stopProgress();
 | 
			
		||||
    if (rank == 0) {
 | 
			
		||||
 
 | 
			
		||||
@@ -21,6 +21,7 @@ void initParameter(Parameter* param)
 | 
			
		||||
    param->itermax = 1000;
 | 
			
		||||
    param->eps     = 0.0001;
 | 
			
		||||
    param->omg     = 1.8;
 | 
			
		||||
    param->rho     = 0.99;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
@@ -75,6 +76,8 @@ void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
            PARSE_REAL(u_init);
 | 
			
		||||
            PARSE_REAL(v_init);
 | 
			
		||||
            PARSE_REAL(p_init);
 | 
			
		||||
            PARSE_REAL(rho);
 | 
			
		||||
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 
 | 
			
		||||
@@ -11,7 +11,7 @@ typedef struct {
 | 
			
		||||
    double xlength, ylength;
 | 
			
		||||
    int imax, jmax;
 | 
			
		||||
    int itermax;
 | 
			
		||||
    double eps, omg;
 | 
			
		||||
    double eps, omg, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double te, dt;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
 
 | 
			
		||||
@@ -243,6 +243,156 @@ void computeTimestep(Solver* s)
 | 
			
		||||
    s->dt = dt * s->tau;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRB(Solver* s)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = s->imax;
 | 
			
		||||
    int jmax      = s->jmax;
 | 
			
		||||
    int imaxLocal = s->comm.imaxLocal;
 | 
			
		||||
    int jmaxLocal = s->comm.jmaxLocal;
 | 
			
		||||
    double eps    = s->eps;
 | 
			
		||||
    int itermax   = s->itermax;
 | 
			
		||||
    double dx2    = s->dx * s->dx;
 | 
			
		||||
    double dy2    = s->dy * s->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    double factor = s->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = s->p;
 | 
			
		||||
    double* rhs   = s->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
    commExchange(&s->comm, p);
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
 | 
			
		||||
                double r = RHS(i, j) -
 | 
			
		||||
                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                P(i, j) -= (factor * r);
 | 
			
		||||
                res += (r * r);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, BOTTOM)) { // set bottom bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, 0) = P(i, 1);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, TOP)) { // set top bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, LEFT)) { // set left bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(0, j) = P(1, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, RIGHT)) { // set right bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(imaxLocal + 1, j) = P(imaxLocal, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        commReduction(&res, SUM);
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        if (commIsMaster(&s->comm)) {
 | 
			
		||||
            printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
        }
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
int solveRBA(Solver* s)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = s->imax;
 | 
			
		||||
    int jmax      = s->jmax;
 | 
			
		||||
    int imaxLocal = s->comm.imaxLocal;
 | 
			
		||||
    int jmaxLocal = s->comm.jmaxLocal;
 | 
			
		||||
    double eps    = s->eps;
 | 
			
		||||
    int itermax   = s->itermax;
 | 
			
		||||
    double dx2    = s->dx * s->dx;
 | 
			
		||||
    double dy2    = s->dy * s->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    double factor = s->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = s->p;
 | 
			
		||||
    double* rhs   = s->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
    commExchange(&s->comm, p);
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
 | 
			
		||||
                double r = RHS(i, j) -
 | 
			
		||||
                           ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                               (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                P(i, j) -= (factor * r);
 | 
			
		||||
                res += (r * r);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, BOTTOM)) { // set bottom bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, 0) = P(i, 1);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, TOP)) { // set top bc
 | 
			
		||||
            for (int i = 1; i < imaxLocal + 1; i++) {
 | 
			
		||||
                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, LEFT)) { // set left bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(0, j) = P(1, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        if (commIsBoundary(&s->comm, RIGHT)) { // set right bc
 | 
			
		||||
            for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
                P(imaxLocal + 1, j) = P(imaxLocal, j);
 | 
			
		||||
            }
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        commReduction(&res, SUM);
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        if (commIsMaster(&s->comm)) {
 | 
			
		||||
            printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
        }
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
    if (commIsMaster(&s->comm)) {
 | 
			
		||||
        printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
    }
 | 
			
		||||
#endif
 | 
			
		||||
    if (res < eps) {
 | 
			
		||||
        return 0;
 | 
			
		||||
    } else {
 | 
			
		||||
        return 1;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void setBoundaryConditions(Solver* s)
 | 
			
		||||
{
 | 
			
		||||
    int imaxLocal = s->comm.imaxLocal;
 | 
			
		||||
@@ -448,6 +598,7 @@ void computeFG(Solver* s)
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    /* ----------------------------- boundary of F --------------------------- */
 | 
			
		||||
    if (commIsBoundary(&s->comm, LEFT)) {
 | 
			
		||||
        for (int j = 1; j < jmaxLocal + 1; j++) {
 | 
			
		||||
 
 | 
			
		||||
@@ -21,7 +21,7 @@ typedef struct {
 | 
			
		||||
    double *f, *g;
 | 
			
		||||
    double *u, *v;
 | 
			
		||||
    /* parameters */
 | 
			
		||||
    double eps, omega;
 | 
			
		||||
    double eps, omega, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
    /* time stepping */
 | 
			
		||||
@@ -37,6 +37,8 @@ typedef struct {
 | 
			
		||||
void initSolver(Solver*, Parameter*);
 | 
			
		||||
void computeRHS(Solver*);
 | 
			
		||||
int solve(Solver*);
 | 
			
		||||
int solveRB(Solver*);
 | 
			
		||||
int solveRBA(Solver*);
 | 
			
		||||
void normalizePressure(Solver*);
 | 
			
		||||
void computeTimestep(Solver*);
 | 
			
		||||
void setBoundaryConditions(Solver*);
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										9801
									
								
								BasicSolver/2D-mpi/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										9801
									
								
								BasicSolver/2D-mpi/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							
										
											Binary file not shown.
										
									
								
							| 
		 Before Width: | Height: | Size: 9.1 KiB After Width: | Height: | Size: 11 KiB  | 
@@ -41,6 +41,7 @@ tau     0.5     # safety factor for time stepsize control (<0 constant delt)
 | 
			
		||||
 | 
			
		||||
itermax  500       # maximal number of pressure iteration in one time step
 | 
			
		||||
eps      0.00001   # stopping tolerance for pressure iteration
 | 
			
		||||
rho      0.9999
 | 
			
		||||
omg      1.8       # relaxation parameter for SOR iteration
 | 
			
		||||
gamma    0.9       # upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
@@ -1,5 +1,5 @@
 | 
			
		||||
# Supported: GCC, CLANG, ICC
 | 
			
		||||
TAG ?= CLANG
 | 
			
		||||
TAG ?= ICC
 | 
			
		||||
ENABLE_OPENMP ?= false
 | 
			
		||||
 | 
			
		||||
#Feature options
 | 
			
		||||
 
 | 
			
		||||
@@ -41,6 +41,7 @@ tau     0.5	    	# safety factor for time stepsize control (<0 constant delt)
 | 
			
		||||
 | 
			
		||||
itermax  1000		# maximal number of pressure iteration in one time step
 | 
			
		||||
eps      0.001		# stopping tolerance for pressure iteration
 | 
			
		||||
rho      0.9999
 | 
			
		||||
omg      1.7		# relaxation parameter for SOR iteration
 | 
			
		||||
gamma    0.9		# upwind differencing factor gamma
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										10050
									
								
								BasicSolver/2D-seq/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										10050
									
								
								BasicSolver/2D-seq/pressure.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							@@ -15,19 +15,29 @@
 | 
			
		||||
#include "solver.h"
 | 
			
		||||
#include "timing.h"
 | 
			
		||||
 | 
			
		||||
int main(int argc, char** argv)
 | 
			
		||||
enum VARIANT { SOR = 1, RB, RBA };
 | 
			
		||||
 | 
			
		||||
int main (int argc, char** argv)
 | 
			
		||||
{
 | 
			
		||||
    int rank;
 | 
			
		||||
    int variant = SOR;
 | 
			
		||||
 | 
			
		||||
    double S, E;
 | 
			
		||||
    Parameter params;
 | 
			
		||||
    Solver solver;
 | 
			
		||||
    initParameter(¶ms);
 | 
			
		||||
 | 
			
		||||
    if (argc != 2) {
 | 
			
		||||
    if (argc < 2) {
 | 
			
		||||
        printf("Usage: %s <configFile>\n", argv[0]);
 | 
			
		||||
        exit(EXIT_SUCCESS);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    readParameter(¶ms, argv[1]);
 | 
			
		||||
    if (argc == 3) 
 | 
			
		||||
    {
 | 
			
		||||
        variant = atoi(argv[2]);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    printParameter(¶ms);
 | 
			
		||||
    initSolver(&solver, ¶ms);
 | 
			
		||||
#ifndef VERBOSE
 | 
			
		||||
@@ -40,24 +50,77 @@ int main(int argc, char** argv)
 | 
			
		||||
    int nt     = 0;
 | 
			
		||||
 | 
			
		||||
    S = getTimeStamp();
 | 
			
		||||
    while (t <= te) {
 | 
			
		||||
        if (tau > 0.0) computeTimestep(&solver);
 | 
			
		||||
        setBoundaryConditions(&solver);
 | 
			
		||||
        setSpecialBoundaryCondition(&solver);
 | 
			
		||||
        computeFG(&solver);
 | 
			
		||||
        computeRHS(&solver);
 | 
			
		||||
        if (nt % 100 == 0) normalizePressure(&solver);
 | 
			
		||||
        solveRB(&solver);
 | 
			
		||||
        adaptUV(&solver);
 | 
			
		||||
        t += solver.dt;
 | 
			
		||||
        nt++;
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
        printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
#else
 | 
			
		||||
        printProgress(t);
 | 
			
		||||
#endif
 | 
			
		||||
 | 
			
		||||
    switch (variant) {
 | 
			
		||||
    case SOR:
 | 
			
		||||
        printf("Plain SOR\n");
 | 
			
		||||
        while (t <= te) 
 | 
			
		||||
        {
 | 
			
		||||
            if (tau > 0.0) computeTimestep(&solver);
 | 
			
		||||
            setBoundaryConditions(&solver);
 | 
			
		||||
            setSpecialBoundaryCondition(&solver);
 | 
			
		||||
            computeFG(&solver);
 | 
			
		||||
            computeRHS(&solver);
 | 
			
		||||
            if (nt % 100 == 0) normalizePressure(&solver);
 | 
			
		||||
            solve(&solver);
 | 
			
		||||
            adaptUV(&solver);
 | 
			
		||||
            t += solver.dt;
 | 
			
		||||
            nt++;
 | 
			
		||||
 | 
			
		||||
        #ifdef VERBOSE
 | 
			
		||||
                printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        #else
 | 
			
		||||
                printProgress(t);
 | 
			
		||||
        #endif
 | 
			
		||||
        }
 | 
			
		||||
        break;
 | 
			
		||||
    case RB:
 | 
			
		||||
        printf("Red-black SOR\n");
 | 
			
		||||
        while (t <= te) 
 | 
			
		||||
        {
 | 
			
		||||
            if (tau > 0.0) computeTimestep(&solver);
 | 
			
		||||
            setBoundaryConditions(&solver);
 | 
			
		||||
            setSpecialBoundaryCondition(&solver);
 | 
			
		||||
            computeFG(&solver);
 | 
			
		||||
            computeRHS(&solver);
 | 
			
		||||
            if (nt % 100 == 0) normalizePressure(&solver);
 | 
			
		||||
            solveRB(&solver);
 | 
			
		||||
            adaptUV(&solver);
 | 
			
		||||
            t += solver.dt;
 | 
			
		||||
            nt++;
 | 
			
		||||
 | 
			
		||||
        #ifdef VERBOSE
 | 
			
		||||
                printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        #else
 | 
			
		||||
                printProgress(t);
 | 
			
		||||
        #endif
 | 
			
		||||
        }
 | 
			
		||||
        break;
 | 
			
		||||
    case RBA:
 | 
			
		||||
        printf("Red-black SOR with acceleration\n");
 | 
			
		||||
        while (t <= te) 
 | 
			
		||||
        {
 | 
			
		||||
            if (tau > 0.0) computeTimestep(&solver);
 | 
			
		||||
            setBoundaryConditions(&solver);
 | 
			
		||||
            setSpecialBoundaryCondition(&solver);
 | 
			
		||||
            computeFG(&solver);
 | 
			
		||||
            computeRHS(&solver);
 | 
			
		||||
            if (nt % 100 == 0) normalizePressure(&solver);
 | 
			
		||||
            solveRBA(&solver);
 | 
			
		||||
            adaptUV(&solver);
 | 
			
		||||
            t += solver.dt;
 | 
			
		||||
            nt++;
 | 
			
		||||
 | 
			
		||||
        #ifdef VERBOSE
 | 
			
		||||
                printf("TIME %f , TIMESTEP %f\n", t, solver.dt);
 | 
			
		||||
        #else
 | 
			
		||||
                printProgress(t);
 | 
			
		||||
        #endif
 | 
			
		||||
        }
 | 
			
		||||
        break;
 | 
			
		||||
    }
 | 
			
		||||
    
 | 
			
		||||
    E = getTimeStamp();
 | 
			
		||||
    stopProgress();
 | 
			
		||||
    printf("Solution took %.2fs\n", E - S);
 | 
			
		||||
 
 | 
			
		||||
@@ -24,6 +24,7 @@ void initParameter(Parameter* param)
 | 
			
		||||
    param->re      = 100.0;
 | 
			
		||||
    param->gamma   = 0.9;
 | 
			
		||||
    param->tau     = 0.5;
 | 
			
		||||
    param->rho     = 0.99;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
@@ -78,6 +79,8 @@ void readParameter(Parameter* param, const char* filename)
 | 
			
		||||
            PARSE_REAL(u_init);
 | 
			
		||||
            PARSE_REAL(v_init);
 | 
			
		||||
            PARSE_REAL(p_init);
 | 
			
		||||
            PARSE_REAL(rho);
 | 
			
		||||
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
@@ -108,4 +111,6 @@ void printParameter(Parameter* param)
 | 
			
		||||
    printf("\tepsilon (stopping tolerance) : %f\n", param->eps);
 | 
			
		||||
    printf("\tgamma (stopping tolerance) : %f\n", param->gamma);
 | 
			
		||||
    printf("\tomega (SOR relaxation): %f\n", param->omg);
 | 
			
		||||
    printf("\trho (SOR relaxation): %f\n", param->rho);
 | 
			
		||||
 | 
			
		||||
}
 | 
			
		||||
 
 | 
			
		||||
@@ -11,7 +11,7 @@ typedef struct {
 | 
			
		||||
    double xlength, ylength;
 | 
			
		||||
    int imax, jmax;
 | 
			
		||||
    int itermax;
 | 
			
		||||
    double eps, omg;
 | 
			
		||||
    double eps, omg, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double te, dt;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
 
 | 
			
		||||
@@ -83,6 +83,8 @@ void initSolver(Solver* solver, Parameter* params)
 | 
			
		||||
    solver->te       = params->te;
 | 
			
		||||
    solver->tau      = params->tau;
 | 
			
		||||
    solver->gamma    = params->gamma;
 | 
			
		||||
    solver->rho      = params->rho;
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    int imax    = solver->imax;
 | 
			
		||||
    int jmax    = solver->jmax;
 | 
			
		||||
@@ -247,6 +249,72 @@ void solveRB(Solver* solver)
 | 
			
		||||
#endif
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void solveRBA(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    int imax      = solver->imax;
 | 
			
		||||
    int jmax      = solver->jmax;
 | 
			
		||||
    double eps    = solver->eps;
 | 
			
		||||
    int itermax   = solver->itermax;
 | 
			
		||||
    double dx2    = solver->dx * solver->dx;
 | 
			
		||||
    double dy2    = solver->dy * solver->dy;
 | 
			
		||||
    double idx2   = 1.0 / dx2;
 | 
			
		||||
    double idy2   = 1.0 / dy2;
 | 
			
		||||
    double factor = solver->omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
 | 
			
		||||
    double* p     = solver->p;
 | 
			
		||||
    double* rhs   = solver->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
    double rho    = solver->rho;
 | 
			
		||||
    int it        = 0;
 | 
			
		||||
    double res    = 1.0;
 | 
			
		||||
    int pass, jsw, isw;
 | 
			
		||||
    double omega = 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        jsw = 1;
 | 
			
		||||
 | 
			
		||||
        for (pass = 0; pass < 2; pass++) {
 | 
			
		||||
            isw = jsw;
 | 
			
		||||
 | 
			
		||||
            for (int j = 1; j < jmax + 1; j++) {
 | 
			
		||||
                for (int i = isw; i < imax + 1; i += 2) {
 | 
			
		||||
 | 
			
		||||
                    double r = RHS(i, j) -
 | 
			
		||||
                               ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                                   (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                    P(i, j) -= (omega * factor * r);
 | 
			
		||||
                    res += (r * r);
 | 
			
		||||
                }
 | 
			
		||||
                isw = 3 - isw;
 | 
			
		||||
            }
 | 
			
		||||
            jsw = 3 - jsw;
 | 
			
		||||
            omega = (it == 0 && pass == 0 ? 1.0 / (1.0 - 0.5 * rho * rho)
 | 
			
		||||
                                          : 1.0 / (1.0 - 0.25 * rho * rho * omega));
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        for (int i = 1; i < imax + 1; i++) {
 | 
			
		||||
            P(i, 0)        = P(i, 1);
 | 
			
		||||
            P(i, jmax + 1) = P(i, jmax);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmax + 1; j++) {
 | 
			
		||||
            P(0, j)        = P(1, j);
 | 
			
		||||
            P(imax + 1, j) = P(imax, j);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
#ifdef VERBOSE
 | 
			
		||||
    printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
#endif
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
static double maxElement(Solver* solver, double* m)
 | 
			
		||||
{
 | 
			
		||||
    int size      = (solver->imax + 2) * (solver->jmax + 2);
 | 
			
		||||
 
 | 
			
		||||
@@ -20,7 +20,7 @@ typedef struct {
 | 
			
		||||
    double *f, *g;
 | 
			
		||||
    double *u, *v;
 | 
			
		||||
    /* parameters */
 | 
			
		||||
    double eps, omega;
 | 
			
		||||
    double eps, omega, rho;
 | 
			
		||||
    double re, tau, gamma;
 | 
			
		||||
    double gx, gy;
 | 
			
		||||
    /* time stepping */
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										10000
									
								
								BasicSolver/2D-seq/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										10000
									
								
								BasicSolver/2D-seq/velocity.dat
									
									
									
									
									
										Normal file
									
								
							
										
											
												File diff suppressed because it is too large
												Load Diff
											
										
									
								
							
							
								
								
									
										
											BIN
										
									
								
								BasicSolver/2D-seq/velocity.png
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										
											BIN
										
									
								
								BasicSolver/2D-seq/velocity.png
									
									
									
									
									
										Normal file
									
								
							
										
											Binary file not shown.
										
									
								
							| 
		 After Width: | Height: | Size: 16 KiB  | 
@@ -1,5 +1,5 @@
 | 
			
		||||
# Supported: GCC, CLANG, ICC
 | 
			
		||||
TAG ?= CLANG
 | 
			
		||||
TAG ?= ICC
 | 
			
		||||
ENABLE_OPENMP ?= false
 | 
			
		||||
 | 
			
		||||
#Feature options
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										202
									
								
								PoissonSolver/2D-mpi/p.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										202
									
								
								PoissonSolver/2D-mpi/p.dat
									
									
									
									
									
										Normal file
									
								
							@@ -0,0 +1,202 @@
 | 
			
		||||
-0.077228 -0.077228 -0.077227 -0.077225 -0.077220 -0.077212 -0.077200 -0.077184 -0.077162 -0.077134 -0.077099 -0.077056 -0.077005 -0.076944 -0.076874 -0.076793 -0.076700 -0.076596 -0.076479 -0.076348 -0.076204 -0.076044 -0.075870 -0.075679 -0.075472 -0.075248 -0.075006 -0.074746 -0.074467 -0.074169 -0.073851 -0.073513 -0.073154 -0.072774 -0.072373 -0.071949 -0.071504 -0.071035 -0.070544 -0.070030 -0.069492 -0.068930 -0.068344 -0.067735 -0.067100 -0.066441 -0.065758 -0.065049 -0.064316 -0.063558 -0.062775 -0.061966 -0.061133 -0.060275 -0.059392 -0.058484 -0.057552 -0.056595 -0.055613 -0.054607 -0.053578 -0.052524 -0.051447 -0.050347 -0.049224 -0.048078 -0.046910 -0.045720 -0.044508 -0.043276 -0.042022 -0.040749 -0.039456 -0.038143 -0.036812 -0.035462 -0.034095 -0.032711 -0.031310 -0.029893 -0.028461 -0.027014 -0.025553 -0.024079 -0.022592 -0.021093 -0.019583 -0.018062 -0.016531 -0.014991 -0.013442 -0.011886 -0.010322 -0.008753 -0.007178 -0.005598 -0.004015 -0.002428 -0.000839 0.000752 0.002343 0.003935 0.005525 0.007114 0.008701 0.010285 0.011864 0.013439 0.015009 0.016572 0.018128 0.019677 0.021217 0.022748 0.024269 0.025779 0.027279 0.028765 0.030240 0.031701 0.033147 0.034579 0.035996 0.037397 0.038781 0.040149 0.041498 0.042829 0.044142 0.045435 0.046709 0.047962 0.049195 0.050406 0.051596 0.052764 0.053910 0.055033 0.056134 0.057211 0.058264 0.059294 0.060299 0.061281 0.062238 0.063171 0.064078 0.064961 0.065820 0.066653 0.067461 0.068244 0.069002 0.069736 0.070444 0.071128 0.071787 0.072421 0.073031 0.073617 0.074178 0.074716 0.075231 0.075722 0.076190 0.076636 0.077059 0.077460 0.077840 0.078199 0.078537 0.078855 0.079153 0.079432 0.079692 0.079934 0.080158 0.080365 0.080556 0.080731 0.080890 0.081035 0.081165 0.081282 0.081387 0.081479 0.081560 0.081631 0.081691 0.081742 0.081785 0.081820 0.081848 0.081870 0.081887 0.081898 0.081906 0.081911 0.081913 0.081914 0.081914 0.081914 
 | 
			
		||||
-0.077228 -0.077228 -0.077227 -0.077225 -0.077220 -0.077212 -0.077200 -0.077184 -0.077162 -0.077134 -0.077099 -0.077056 -0.077005 -0.076944 -0.076874 -0.076793 -0.076700 -0.076596 -0.076479 -0.076348 -0.076204 -0.076044 -0.075870 -0.075679 -0.075472 -0.075248 -0.075006 -0.074746 -0.074467 -0.074169 -0.073851 -0.073513 -0.073154 -0.072774 -0.072373 -0.071949 -0.071504 -0.071035 -0.070544 -0.070030 -0.069492 -0.068930 -0.068344 -0.067735 -0.067100 -0.066441 -0.065758 -0.065049 -0.064316 -0.063558 -0.062775 -0.061966 -0.061133 -0.060275 -0.059392 -0.058484 -0.057552 -0.056595 -0.055613 -0.054607 -0.053578 -0.052524 -0.051447 -0.050347 -0.049224 -0.048078 -0.046910 -0.045720 -0.044508 -0.043276 -0.042022 -0.040749 -0.039456 -0.038143 -0.036812 -0.035462 -0.034095 -0.032711 -0.031310 -0.029893 -0.028461 -0.027014 -0.025553 -0.024079 -0.022592 -0.021093 -0.019583 -0.018062 -0.016531 -0.014991 -0.013442 -0.011886 -0.010322 -0.008753 -0.007178 -0.005598 -0.004015 -0.002428 -0.000839 0.000752 0.002343 0.003935 0.005525 0.007114 0.008701 0.010285 0.011864 0.013439 0.015009 0.016572 0.018128 0.019677 0.021217 0.022748 0.024269 0.025779 0.027279 0.028765 0.030240 0.031701 0.033147 0.034579 0.035996 0.037397 0.038781 0.040149 0.041498 0.042829 0.044142 0.045435 0.046709 0.047962 0.049195 0.050406 0.051596 0.052764 0.053910 0.055033 0.056134 0.057211 0.058264 0.059294 0.060299 0.061281 0.062238 0.063171 0.064078 0.064961 0.065820 0.066653 0.067461 0.068244 0.069002 0.069736 0.070444 0.071128 0.071787 0.072421 0.073031 0.073617 0.074178 0.074716 0.075231 0.075722 0.076190 0.076636 0.077059 0.077460 0.077840 0.078199 0.078537 0.078855 0.079153 0.079432 0.079692 0.079934 0.080158 0.080365 0.080556 0.080731 0.080890 0.081035 0.081165 0.081282 0.081387 0.081479 0.081560 0.081631 0.081691 0.081742 0.081785 0.081820 0.081848 0.081870 0.081887 0.081898 0.081906 0.081911 0.081913 0.081914 0.081914 0.081914 
 | 
			
		||||
-0.077228 -0.077228 -0.077227 -0.077225 -0.077220 -0.077212 -0.077200 -0.077184 -0.077162 -0.077134 -0.077099 -0.077056 -0.077005 -0.076944 -0.076874 -0.076793 -0.076700 -0.076596 -0.076479 -0.076348 -0.076204 -0.076044 -0.075870 -0.075679 -0.075472 -0.075248 -0.075006 -0.074746 -0.074467 -0.074169 -0.073851 -0.073513 -0.073154 -0.072774 -0.072373 -0.071949 -0.071504 -0.071035 -0.070544 -0.070030 -0.069492 -0.068930 -0.068344 -0.067735 -0.067100 -0.066441 -0.065758 -0.065049 -0.064316 -0.063558 -0.062775 -0.061966 -0.061133 -0.060275 -0.059392 -0.058484 -0.057552 -0.056595 -0.055613 -0.054607 -0.053578 -0.052524 -0.051447 -0.050347 -0.049224 -0.048078 -0.046910 -0.045720 -0.044508 -0.043276 -0.042022 -0.040749 -0.039456 -0.038143 -0.036812 -0.035462 -0.034095 -0.032711 -0.031310 -0.029893 -0.028461 -0.027014 -0.025553 -0.024079 -0.022592 -0.021093 -0.019583 -0.018062 -0.016531 -0.014991 -0.013442 -0.011886 -0.010322 -0.008753 -0.007178 -0.005598 -0.004015 -0.002428 -0.000839 0.000752 0.002343 0.003935 0.005525 0.007114 0.008701 0.010285 0.011864 0.013439 0.015009 0.016572 0.018128 0.019677 0.021217 0.022748 0.024269 0.025779 0.027279 0.028765 0.030240 0.031701 0.033147 0.034579 0.035996 0.037397 0.038781 0.040149 0.041498 0.042829 0.044142 0.045435 0.046709 0.047962 0.049195 0.050406 0.051596 0.052764 0.053910 0.055033 0.056134 0.057211 0.058264 0.059294 0.060299 0.061281 0.062238 0.063171 0.064078 0.064961 0.065820 0.066653 0.067461 0.068244 0.069002 0.069736 0.070444 0.071128 0.071787 0.072421 0.073031 0.073617 0.074178 0.074716 0.075231 0.075722 0.076190 0.076636 0.077059 0.077460 0.077840 0.078199 0.078537 0.078855 0.079153 0.079432 0.079692 0.079934 0.080158 0.080365 0.080556 0.080731 0.080890 0.081035 0.081165 0.081282 0.081387 0.081479 0.081560 0.081631 0.081691 0.081742 0.081785 0.081820 0.081848 0.081870 0.081887 0.081898 0.081906 0.081911 0.081913 0.081914 0.081914 0.081914 
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		||||
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 | 
			
		||||
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 | 
			
		||||
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		||||
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 | 
			
		||||
@@ -16,6 +16,7 @@ jmax       200		# number of interior cells in y-direction
 | 
			
		||||
 | 
			
		||||
itermax  10000		# maximal number of pressure iteration in one time step
 | 
			
		||||
eps      0.000001	# stopping tolerance for pressure iteration
 | 
			
		||||
rho      0.99999
 | 
			
		||||
omg      1.9		# relaxation parameter for SOR iteration
 | 
			
		||||
 | 
			
		||||
#===============================================================================
 | 
			
		||||
 
 | 
			
		||||
@@ -14,10 +14,13 @@
 | 
			
		||||
#include "parameter.h"
 | 
			
		||||
#include "solver.h"
 | 
			
		||||
 | 
			
		||||
enum VARIANT { SOR = 1, RB, RBA };
 | 
			
		||||
 | 
			
		||||
int main (int argc, char** argv)
 | 
			
		||||
{
 | 
			
		||||
    int rank;
 | 
			
		||||
    int variant = SOR;
 | 
			
		||||
 | 
			
		||||
    Parameter params;
 | 
			
		||||
    Solver solver;
 | 
			
		||||
 | 
			
		||||
@@ -25,18 +28,38 @@ int main (int argc, char** argv)
 | 
			
		||||
    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
 | 
			
		||||
    initParameter(¶ms);
 | 
			
		||||
 | 
			
		||||
    if ( argc != 2 ) {
 | 
			
		||||
    if ( argc < 2 ) {
 | 
			
		||||
        printf("Usage: %s <configFile>\n",argv[0]);
 | 
			
		||||
        exit(EXIT_SUCCESS);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    readParameter(¶ms, argv[1]);
 | 
			
		||||
    if (argc == 3) 
 | 
			
		||||
    {
 | 
			
		||||
        variant = atoi(argv[2]);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    if ( rank == 0 ) {
 | 
			
		||||
        printParameter(¶ms);
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    initSolver(&solver, ¶ms, 2);
 | 
			
		||||
    solve(&solver);
 | 
			
		||||
 | 
			
		||||
    switch (variant) {
 | 
			
		||||
    case SOR:
 | 
			
		||||
        printf("Plain SOR\n");
 | 
			
		||||
        solve(&solver);
 | 
			
		||||
        break;
 | 
			
		||||
    case RB:
 | 
			
		||||
        printf("Red-black SOR\n");
 | 
			
		||||
        solveRB(&solver);
 | 
			
		||||
        break;
 | 
			
		||||
    case RBA:
 | 
			
		||||
        printf("Red-black SOR with acceleration\n");
 | 
			
		||||
        solveRBA(&solver);
 | 
			
		||||
        break;
 | 
			
		||||
    }
 | 
			
		||||
    getResult(&solver);
 | 
			
		||||
 | 
			
		||||
    MPI_Finalize();
 | 
			
		||||
 
 | 
			
		||||
@@ -20,6 +20,7 @@ void initParameter(Parameter *param) {
 | 
			
		||||
    param->itermax = 1000;
 | 
			
		||||
    param->eps = 0.0001;
 | 
			
		||||
    param->omg = 1.8;
 | 
			
		||||
    param->rho     = 0.99;
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void readParameter(Parameter *param, const char *filename) {
 | 
			
		||||
@@ -54,6 +55,8 @@ void readParameter(Parameter *param, const char *filename) {
 | 
			
		||||
            PARSE_INT(itermax);
 | 
			
		||||
            PARSE_REAL(eps);
 | 
			
		||||
            PARSE_REAL(omg);
 | 
			
		||||
            PARSE_REAL(rho);
 | 
			
		||||
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
 
 | 
			
		||||
@@ -11,7 +11,7 @@ typedef struct {
 | 
			
		||||
    double  xlength, ylength;
 | 
			
		||||
    int imax, jmax;
 | 
			
		||||
    int itermax;
 | 
			
		||||
    double eps, omg, gamma;
 | 
			
		||||
    double eps, omg, gamma, rho;
 | 
			
		||||
} Parameter;
 | 
			
		||||
 | 
			
		||||
void initParameter(Parameter*);
 | 
			
		||||
 
 | 
			
		||||
@@ -198,10 +198,11 @@ int solve(Solver *solver)
 | 
			
		||||
    double factor = omega * 0.5 * (dx2*dy2) / (dx2+dy2);
 | 
			
		||||
    double* p = solver->p;
 | 
			
		||||
    double* rhs = solver->rhs;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
 | 
			
		||||
    res = eps + 1.0;
 | 
			
		||||
 | 
			
		||||
    while((res >= eps) && (it < itermax)) {
 | 
			
		||||
    while((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        exchange(solver);
 | 
			
		||||
 | 
			
		||||
@@ -253,6 +254,154 @@ int solve(Solver *solver)
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRB(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    double r;
 | 
			
		||||
    int it = 0;
 | 
			
		||||
    double res;
 | 
			
		||||
 | 
			
		||||
    int imax = solver->imax;
 | 
			
		||||
    int jmax = solver->jmax;
 | 
			
		||||
    int jmaxLocal = solver->jmaxLocal;
 | 
			
		||||
    double eps= solver->eps;
 | 
			
		||||
    double omega = solver->omega;
 | 
			
		||||
    int itermax = solver->itermax;
 | 
			
		||||
 | 
			
		||||
    double dx2 = solver->dx * solver->dx;
 | 
			
		||||
    double dy2 = solver->dy * solver->dy;
 | 
			
		||||
    double idx2 = 1.0/dx2;
 | 
			
		||||
    double idy2 = 1.0/dy2;
 | 
			
		||||
    double factor = omega * 0.5 * (dx2*dy2) / (dx2+dy2);
 | 
			
		||||
    double* p = solver->p;
 | 
			
		||||
    double* rhs = solver->rhs;
 | 
			
		||||
    int pass, jsw, isw;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
 | 
			
		||||
    res = eps + 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        jsw = 1;
 | 
			
		||||
 | 
			
		||||
        for (pass = 0; pass < 2; pass++) {
 | 
			
		||||
            isw = jsw;
 | 
			
		||||
            exchange(solver);
 | 
			
		||||
 | 
			
		||||
            for (int j = 1; j < jmax + 1; j++) {
 | 
			
		||||
                for (int i = isw; i < imax + 1; i += 2) {
 | 
			
		||||
 | 
			
		||||
                    double r = RHS(i, j) -
 | 
			
		||||
                               ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                                   (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                    P(i, j) -= (factor * r);
 | 
			
		||||
                    res += (r * r);
 | 
			
		||||
                }
 | 
			
		||||
                isw = 3 - isw;
 | 
			
		||||
            }
 | 
			
		||||
            jsw = 3 - jsw;
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        for (int i = 1; i < imax + 1; i++) {
 | 
			
		||||
            P(i, 0)        = P(i, 1);
 | 
			
		||||
            P(i, jmax + 1) = P(i, jmax);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmax + 1; j++) {
 | 
			
		||||
            P(0, j)        = P(1, j);
 | 
			
		||||
            P(imax + 1, j) = P(imax, j);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        printf("%d Residuum: %e\n", it, res);
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    if ( solver->rank == 0 ) {
 | 
			
		||||
        printf("Solver took %d iterations\n",it);
 | 
			
		||||
    }
 | 
			
		||||
    if( res < eps ){
 | 
			
		||||
        return 1;
 | 
			
		||||
    } else{
 | 
			
		||||
        return 0;
 | 
			
		||||
    }
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
int solveRBA(Solver* solver)
 | 
			
		||||
{
 | 
			
		||||
    double r;
 | 
			
		||||
    int it = 0;
 | 
			
		||||
    double res;
 | 
			
		||||
 | 
			
		||||
    int imax = solver->imax;
 | 
			
		||||
    int jmax = solver->jmax;
 | 
			
		||||
    int jmaxLocal = solver->jmaxLocal;
 | 
			
		||||
    double eps= solver->eps;
 | 
			
		||||
    double omega = solver->omega;
 | 
			
		||||
    int itermax = solver->itermax;
 | 
			
		||||
 | 
			
		||||
    double dx2 = solver->dx * solver->dx;
 | 
			
		||||
    double dy2 = solver->dy * solver->dy;
 | 
			
		||||
    double idx2 = 1.0/dx2;
 | 
			
		||||
    double idy2 = 1.0/dy2;
 | 
			
		||||
    double factor = omega * 0.5 * (dx2*dy2) / (dx2+dy2);
 | 
			
		||||
    double* p = solver->p;
 | 
			
		||||
    double* rhs = solver->rhs;
 | 
			
		||||
    int pass, jsw, isw;
 | 
			
		||||
    double rho    = solver->rho;
 | 
			
		||||
    double epssq  = eps * eps;
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    res = eps + 1.0;
 | 
			
		||||
 | 
			
		||||
    while ((res >= epssq) && (it < itermax)) {
 | 
			
		||||
        res = 0.0;
 | 
			
		||||
        jsw = 1;
 | 
			
		||||
 | 
			
		||||
        for (pass = 0; pass < 2; pass++) {
 | 
			
		||||
            isw = jsw;
 | 
			
		||||
            exchange(solver);
 | 
			
		||||
 | 
			
		||||
            for (int j = 1; j < jmax + 1; j++) {
 | 
			
		||||
                for (int i = isw; i < imax + 1; i += 2) {
 | 
			
		||||
 | 
			
		||||
                    double r = RHS(i, j) -
 | 
			
		||||
                               ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
 | 
			
		||||
                                   (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
 | 
			
		||||
 | 
			
		||||
                    P(i, j) -= (omega * factor * r);
 | 
			
		||||
                    res += (r * r);
 | 
			
		||||
                }
 | 
			
		||||
                isw = 3 - isw;
 | 
			
		||||
            }
 | 
			
		||||
            jsw   = 3 - jsw;
 | 
			
		||||
            omega = (it == 0 && pass == 0 ? 1.0 / (1.0 - 0.5 * rho * rho)
 | 
			
		||||
                                          : 1.0 / (1.0 - 0.25 * rho * rho * omega));
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        for (int i = 1; i < imax + 1; i++) {
 | 
			
		||||
            P(i, 0)        = P(i, 1);
 | 
			
		||||
            P(i, jmax + 1) = P(i, jmax);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        for (int j = 1; j < jmax + 1; j++) {
 | 
			
		||||
            P(0, j)        = P(1, j);
 | 
			
		||||
            P(imax + 1, j) = P(imax, j);
 | 
			
		||||
        }
 | 
			
		||||
 | 
			
		||||
        res = res / (double)(imax * jmax);
 | 
			
		||||
#ifdef DEBUG
 | 
			
		||||
        printf("%d Residuum: %e Omega: %e\n", it, res, omega);
 | 
			
		||||
#endif
 | 
			
		||||
        it++;
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    printf("Final omega: %f\n", omega);
 | 
			
		||||
    printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
 | 
			
		||||
}
 | 
			
		||||
 | 
			
		||||
void writeResult(Solver* solver, double* m, char* filename)
 | 
			
		||||
{
 | 
			
		||||
    int imax = solver->imax;
 | 
			
		||||
 
 | 
			
		||||
@@ -17,7 +17,7 @@ typedef struct {
 | 
			
		||||
    int size;
 | 
			
		||||
 | 
			
		||||
    double *p, *rhs;
 | 
			
		||||
    double eps, omega;
 | 
			
		||||
    double eps, omega, rho;
 | 
			
		||||
    int itermax;
 | 
			
		||||
} Solver;
 | 
			
		||||
 | 
			
		||||
@@ -26,4 +26,7 @@ extern void initSolver(Solver*, Parameter*, int problem);
 | 
			
		||||
extern void getResult(Solver*);
 | 
			
		||||
extern void writeResult(Solver*, double*, char*);
 | 
			
		||||
extern int solve(Solver*);
 | 
			
		||||
extern int solveRB(Solver*);
 | 
			
		||||
extern int solveRBA(Solver*);
 | 
			
		||||
 | 
			
		||||
#endif
 | 
			
		||||
 
 | 
			
		||||
@@ -1,5 +1,5 @@
 | 
			
		||||
# Supported: GCC, CLANG, ICC
 | 
			
		||||
TAG ?= CLANG
 | 
			
		||||
TAG ?= ICC
 | 
			
		||||
ENABLE_OPENMP ?= false
 | 
			
		||||
 | 
			
		||||
#Feature options
 | 
			
		||||
 
 | 
			
		||||
							
								
								
									
										202
									
								
								PoissonSolver/2D-seq/p.dat
									
									
									
									
									
										Normal file
									
								
							
							
						
						
									
										202
									
								
								PoissonSolver/2D-seq/p.dat
									
									
									
									
									
										Normal file
									
								
							@@ -0,0 +1,202 @@
 | 
			
		||||
0.000000 -0.053645 -0.053644 -0.053642 -0.053637 -0.053629 -0.053617 -0.053601 -0.053579 -0.053551 -0.053516 -0.053473 -0.053422 -0.053361 -0.053291 -0.053210 -0.053117 -0.053013 -0.052896 -0.052765 -0.052620 -0.052461 -0.052287 -0.052096 -0.051889 -0.051665 -0.051423 -0.051163 -0.050884 -0.050586 -0.050268 -0.049930 -0.049571 -0.049191 -0.048790 -0.048366 -0.047921 -0.047452 -0.046961 -0.046447 -0.045909 -0.045347 -0.044761 -0.044151 -0.043517 -0.042858 -0.042175 -0.041466 -0.040733 -0.039975 -0.039192 -0.038383 -0.037550 -0.036692 -0.035809 -0.034901 -0.033969 -0.033012 -0.032030 -0.031024 -0.029995 -0.028941 -0.027864 -0.026764 -0.025641 -0.024495 -0.023327 -0.022137 -0.020925 -0.019693 -0.018439 -0.017166 -0.015873 -0.014560 -0.013229 -0.011879 -0.010512 -0.009128 -0.007727 -0.006310 -0.004878 -0.003431 -0.001970 -0.000496 0.000991 0.002490 0.004000 0.005521 0.007052 0.008592 0.010141 0.011697 0.013261 0.014830 0.016405 0.017985 0.019568 0.021155 0.022744 0.024335 0.025926 0.027518 0.029108 0.030697 0.032284 0.033868 0.035447 0.037022 0.038592 0.040155 0.041711 0.043260 0.044800 0.046331 0.047852 0.049363 0.050862 0.052349 0.053823 0.055284 0.056730 0.058163 0.059579 0.060980 0.062364 0.063732 0.065081 0.066412 0.067725 0.069018 0.070292 0.071545 0.072778 0.073989 0.075179 0.076347 0.077493 0.078616 0.079717 0.080794 0.081847 0.082877 0.083883 0.084864 0.085821 0.086754 0.087661 0.088545 0.089403 0.090236 0.091044 0.091827 0.092586 0.093319 0.094027 0.094711 0.095370 0.096004 0.096614 0.097200 0.097761 0.098299 0.098814 0.099305 0.099773 0.100219 0.100642 0.101043 0.101423 0.101782 0.102120 0.102438 0.102736 0.103015 0.103275 0.103517 0.103741 0.103948 0.104139 0.104314 0.104473 0.104618 0.104748 0.104865 0.104970 0.105062 0.105143 0.105214 0.105274 0.105325 0.105368 0.105403 0.105431 0.105453 0.105470 0.105481 0.105489 0.105494 0.105496 0.105497 0.105497 0.062791 
 | 
			
		||||
-0.053645 -0.053645 -0.053644 -0.053642 -0.053637 -0.053629 -0.053617 -0.053601 -0.053579 -0.053551 -0.053516 -0.053473 -0.053422 -0.053361 -0.053291 -0.053210 -0.053117 -0.053013 -0.052896 -0.052765 -0.052620 -0.052461 -0.052287 -0.052096 -0.051889 -0.051665 -0.051423 -0.051163 -0.050884 -0.050586 -0.050268 -0.049930 -0.049571 -0.049191 -0.048790 -0.048366 -0.047921 -0.047452 -0.046961 -0.046447 -0.045909 -0.045347 -0.044761 -0.044151 -0.043517 -0.042858 -0.042175 -0.041466 -0.040733 -0.039975 -0.039192 -0.038383 -0.037550 -0.036692 -0.035809 -0.034901 -0.033969 -0.033012 -0.032030 -0.031024 -0.029995 -0.028941 -0.027864 -0.026764 -0.025641 -0.024495 -0.023327 -0.022137 -0.020925 -0.019693 -0.018439 -0.017166 -0.015873 -0.014560 -0.013229 -0.011879 -0.010512 -0.009128 -0.007727 -0.006310 -0.004878 -0.003431 -0.001970 -0.000496 0.000991 0.002490 0.004000 0.005521 0.007052 0.008592 0.010141 0.011697 0.013261 0.014830 0.016405 0.017985 0.019568 0.021155 0.022744 0.024335 0.025926 0.027518 0.029108 0.030697 0.032284 0.033868 0.035447 0.037022 0.038592 0.040155 0.041711 0.043260 0.044800 0.046331 0.047852 0.049363 0.050862 0.052349 0.053823 0.055284 0.056730 0.058163 0.059579 0.060980 0.062364 0.063732 0.065081 0.066412 0.067725 0.069018 0.070292 0.071545 0.072778 0.073989 0.075179 0.076347 0.077493 0.078616 0.079717 0.080794 0.081847 0.082877 0.083883 0.084864 0.085821 0.086754 0.087661 0.088545 0.089403 0.090236 0.091044 0.091827 0.092586 0.093319 0.094027 0.094711 0.095370 0.096004 0.096614 0.097200 0.097761 0.098299 0.098814 0.099305 0.099773 0.100219 0.100642 0.101043 0.101423 0.101782 0.102120 0.102438 0.102736 0.103015 0.103275 0.103517 0.103741 0.103948 0.104139 0.104314 0.104473 0.104618 0.104748 0.104865 0.104970 0.105062 0.105143 0.105214 0.105274 0.105325 0.105368 0.105403 0.105431 0.105453 0.105470 0.105481 0.105489 0.105494 0.105496 0.105497 0.105497 0.105497 
 | 
			
		||||
-0.053645 -0.053645 -0.053644 -0.053642 -0.053637 -0.053629 -0.053617 -0.053601 -0.053579 -0.053551 -0.053516 -0.053473 -0.053422 -0.053361 -0.053291 -0.053210 -0.053117 -0.053013 -0.052896 -0.052765 -0.052620 -0.052461 -0.052287 -0.052096 -0.051889 -0.051665 -0.051423 -0.051163 -0.050884 -0.050586 -0.050268 -0.049930 -0.049571 -0.049191 -0.048790 -0.048366 -0.047921 -0.047452 -0.046961 -0.046447 -0.045909 -0.045347 -0.044761 -0.044151 -0.043517 -0.042858 -0.042175 -0.041466 -0.040733 -0.039975 -0.039192 -0.038383 -0.037550 -0.036692 -0.035809 -0.034901 -0.033969 -0.033012 -0.032030 -0.031024 -0.029995 -0.028941 -0.027864 -0.026764 -0.025641 -0.024495 -0.023327 -0.022137 -0.020925 -0.019693 -0.018439 -0.017166 -0.015873 -0.014560 -0.013229 -0.011879 -0.010512 -0.009128 -0.007727 -0.006310 -0.004878 -0.003431 -0.001970 -0.000496 0.000991 0.002490 0.004000 0.005521 0.007052 0.008592 0.010141 0.011697 0.013261 0.014830 0.016405 0.017985 0.019568 0.021155 0.022744 0.024335 0.025926 0.027518 0.029108 0.030697 0.032284 0.033868 0.035447 0.037022 0.038592 0.040155 0.041711 0.043260 0.044800 0.046331 0.047852 0.049363 0.050862 0.052349 0.053823 0.055284 0.056730 0.058163 0.059579 0.060980 0.062364 0.063732 0.065081 0.066412 0.067725 0.069018 0.070292 0.071545 0.072778 0.073989 0.075179 0.076347 0.077493 0.078616 0.079717 0.080794 0.081847 0.082877 0.083883 0.084864 0.085821 0.086754 0.087661 0.088545 0.089403 0.090236 0.091044 0.091827 0.092586 0.093319 0.094027 0.094711 0.095370 0.096004 0.096614 0.097200 0.097761 0.098299 0.098814 0.099305 0.099773 0.100219 0.100642 0.101043 0.101423 0.101782 0.102120 0.102438 0.102736 0.103015 0.103275 0.103517 0.103741 0.103948 0.104139 0.104314 0.104473 0.104618 0.104748 0.104865 0.104970 0.105062 0.105143 0.105214 0.105274 0.105325 0.105368 0.105403 0.105431 0.105453 0.105470 0.105481 0.105489 0.105494 0.105496 0.105497 0.105497 0.105497 
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		||||
		Reference in New Issue
	
	Block a user