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readParameter(¶ms, argv[1]); + if (argc == 3) + { + variant = atoi(argv[2]); + } if (rank == 0) { printParameter(¶ms); } @@ -45,7 +52,10 @@ 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); } @@ -56,7 +66,6 @@ int main(int argc, char** argv) computeRHS(&solver); solve(&solver); adaptUV(&solver); - /* exit(EXIT_SUCCESS); */ t += solver.dt; #ifdef VERBOSE @@ -67,6 +76,57 @@ 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) { diff --git a/BasicSolver/2D-mpi-v1/src/parameter.c b/BasicSolver/2D-mpi-v1/src/parameter.c index d691627..87dc9ec 100644 --- a/BasicSolver/2D-mpi-v1/src/parameter.c +++ b/BasicSolver/2D-mpi-v1/src/parameter.c @@ -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); + } } diff --git a/BasicSolver/2D-mpi-v1/src/parameter.h b/BasicSolver/2D-mpi-v1/src/parameter.h index f4c331a..2fd7947 100644 --- a/BasicSolver/2D-mpi-v1/src/parameter.h +++ b/BasicSolver/2D-mpi-v1/src/parameter.h @@ -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; diff --git a/BasicSolver/2D-mpi-v1/src/solver.c b/BasicSolver/2D-mpi-v1/src/solver.c index 6bc575d..1709257 100644 --- a/BasicSolver/2D-mpi-v1/src/solver.c +++ b/BasicSolver/2D-mpi-v1/src/solver.c @@ -231,6 +231,8 @@ 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 jmaxLocal = solver->jmaxLocal; @@ -349,6 +351,142 @@ void solve(Solver* solver) #endif } +void solveRB(Solver* solver) +{ + int imax = solver->imax; + int jmax = solver->jmax; + 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 < imax + 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->rank == 0) { + for (int i = 1; i < imax + 1; i++) { + P(i, 0) = P(i, 1); + } + } + + if (solver->rank == (solver->size - 1)) { + for (int i = 1; i < imax + 1; i++) { + P(i, jmaxLocal + 1) = P(i, jmaxLocal); + } + } + + for (int j = 1; j < jmaxLocal + 1; j++) { + P(0, j) = P(1, j); + P(imax + 1, j) = P(imax, 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 +} + +void solveRBA(Solver* solver) +{ + int imax = solver->imax; + int jmax = solver->jmax; + 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 < imax + 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->rank == 0) { + for (int i = 1; i < imax + 1; i++) { + P(i, 0) = P(i, 1); + } + } + + if (solver->rank == (solver->size - 1)) { + for (int i = 1; i < imax + 1; i++) { + P(i, jmaxLocal + 1) = P(i, jmaxLocal); + } + } + + for (int j = 1; j < jmaxLocal + 1; j++) { + P(0, j) = P(1, j); + P(imax + 1, j) = P(imax, 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 +} + static double maxElement(Solver* solver, double* m) { int size = (solver->imax + 2) * (solver->jmaxLocal + 2); diff --git a/BasicSolver/2D-mpi-v1/src/solver.h b/BasicSolver/2D-mpi-v1/src/solver.h index 00f8fd1..0f6e0ec 100644 --- a/BasicSolver/2D-mpi-v1/src/solver.h +++ b/BasicSolver/2D-mpi-v1/src/solver.h @@ -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 */ @@ -38,6 +38,8 @@ typedef struct { void initSolver(Solver*, Parameter*); void computeRHS(Solver*); void solve(Solver*); +void solveRB(Solver*); +void solveRBA(Solver*); void normalizePressure(Solver*); void computeTimestep(Solver*); void setBoundaryConditions(Solver*); diff --git a/BasicSolver/2D-mpi-v1/velocity.dat b/BasicSolver/2D-mpi-v1/velocity.dat new file mode 100644 index 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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 #=============================================================================== diff --git a/BasicSolver/2D-mpi-v2/config.mk b/BasicSolver/2D-mpi-v2/config.mk index e187c7d..774e630 100644 --- a/BasicSolver/2D-mpi-v2/config.mk +++ b/BasicSolver/2D-mpi-v2/config.mk @@ -1,5 +1,5 @@ # Supported: GCC, CLANG, ICC -TAG ?= CLANG +TAG ?= ICC ENABLE_OPENMP ?= false #Feature options diff --git a/BasicSolver/2D-mpi-v2/dcavity.par b/BasicSolver/2D-mpi-v2/dcavity.par index d20d83d..b029197 100644 --- a/BasicSolver/2D-mpi-v2/dcavity.par +++ b/BasicSolver/2D-mpi-v2/dcavity.par @@ -42,5 +42,6 @@ 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 omg 1.7 # relaxation parameter for SOR iteration +rho 0.9999 # gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/2D-mpi-v2/pressure.dat b/BasicSolver/2D-mpi-v2/pressure.dat new file mode 100644 index 0000000..c49f9a3 --- /dev/null +++ b/BasicSolver/2D-mpi-v2/pressure.dat @@ -0,0 +1,9900 @@ +0.01 0.01 0.016239 +0.01 0.01 0.016232 +0.03 0.01 0.016220 +0.04 0.01 0.016206 +0.04 0.01 0.016189 +0.06 0.01 0.016171 +0.07 0.01 0.016153 +0.07 0.01 0.016135 +0.09 0.01 0.016117 +0.10 0.01 0.016100 +0.10 0.01 0.016083 +0.12 0.01 0.016066 +0.12 0.01 0.016050 +0.14 0.01 0.016034 +0.14 0.01 0.016019 +0.15 0.01 0.016005 +0.17 0.01 0.015991 +0.18 0.01 0.015977 +0.18 0.01 0.015964 +0.20 0.01 0.015952 +0.21 0.01 0.015942 +0.21 0.01 0.015932 +0.23 0.01 0.015924 +0.24 0.01 0.015918 +0.24 0.01 0.015914 +0.26 0.01 0.015913 +0.27 0.01 0.015914 +0.28 0.01 0.015919 +0.29 0.01 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}; + +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 \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(); diff --git a/BasicSolver/2D-mpi-v2/src/parameter.c b/BasicSolver/2D-mpi-v2/src/parameter.c index 8f8a7e3..6b10a24 100644 --- a/BasicSolver/2D-mpi-v2/src/parameter.c +++ b/BasicSolver/2D-mpi-v2/src/parameter.c @@ -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); + } } diff --git a/BasicSolver/2D-mpi-v2/src/parameter.h b/BasicSolver/2D-mpi-v2/src/parameter.h index a6c6756..88adf7e 100644 --- a/BasicSolver/2D-mpi-v2/src/parameter.h +++ b/BasicSolver/2D-mpi-v2/src/parameter.h @@ -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; diff --git a/BasicSolver/2D-mpi-v2/src/solver.c b/BasicSolver/2D-mpi-v2/src/solver.c index 28f266e..d875b4b 100644 --- a/BasicSolver/2D-mpi-v2/src/solver.c +++ b/BasicSolver/2D-mpi-v2/src/solver.c @@ -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); diff --git a/BasicSolver/2D-mpi-v2/src/solver.h b/BasicSolver/2D-mpi-v2/src/solver.h index 1d3f7c9..4ae22a4 100644 --- a/BasicSolver/2D-mpi-v2/src/solver.h +++ b/BasicSolver/2D-mpi-v2/src/solver.h @@ -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*); diff --git a/BasicSolver/2D-mpi-v2/velocity.dat b/BasicSolver/2D-mpi-v2/velocity.dat new file mode 100644 index 0000000..28ff0b4 --- /dev/null +++ b/BasicSolver/2D-mpi-v2/velocity.dat @@ -0,0 +1,9801 @@ +0.01 0.01 0.000030 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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 #=============================================================================== diff --git a/BasicSolver/2D-mpi-v3/config.mk b/BasicSolver/2D-mpi-v3/config.mk index 496668e..b0405fd 100644 --- a/BasicSolver/2D-mpi-v3/config.mk +++ b/BasicSolver/2D-mpi-v3/config.mk @@ -1,5 +1,5 @@ # Supported: GCC, CLANG, ICC -TAG ?= CLANG +TAG ?= ICC ENABLE_OPENMP ?= false #Feature options diff --git a/BasicSolver/2D-mpi-v3/dcavity.par b/BasicSolver/2D-mpi-v3/dcavity.par index b4013d6..1e03878 100644 --- a/BasicSolver/2D-mpi-v3/dcavity.par +++ b/BasicSolver/2D-mpi-v3/dcavity.par @@ -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 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+ 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 \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) { diff --git a/BasicSolver/2D-mpi-v3/src/parameter.c b/BasicSolver/2D-mpi-v3/src/parameter.c index d691627..87dc9ec 100644 --- a/BasicSolver/2D-mpi-v3/src/parameter.c +++ b/BasicSolver/2D-mpi-v3/src/parameter.c @@ -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); + } } diff --git a/BasicSolver/2D-mpi-v3/src/parameter.h b/BasicSolver/2D-mpi-v3/src/parameter.h index f4c331a..2fd7947 100644 --- a/BasicSolver/2D-mpi-v3/src/parameter.h +++ b/BasicSolver/2D-mpi-v3/src/parameter.h @@ -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; diff --git a/BasicSolver/2D-mpi-v3/src/solver.c b/BasicSolver/2D-mpi-v3/src/solver.c index 4721a95..e93f2d5 100644 --- a/BasicSolver/2D-mpi-v3/src/solver.c +++ b/BasicSolver/2D-mpi-v3/src/solver.c @@ -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); diff --git a/BasicSolver/2D-mpi-v3/src/solver.h b/BasicSolver/2D-mpi-v3/src/solver.h index 76ccce0..e3f05f9 100644 --- a/BasicSolver/2D-mpi-v3/src/solver.h +++ b/BasicSolver/2D-mpi-v3/src/solver.h @@ -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*); diff --git a/BasicSolver/2D-mpi-v3/velocity.dat b/BasicSolver/2D-mpi-v3/velocity.dat new file mode 100644 index 0000000..f88b00f --- /dev/null +++ b/BasicSolver/2D-mpi-v3/velocity.dat @@ -0,0 +1,9801 @@ +0.01 0.01 0.000033 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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 #=============================================================================== diff --git a/BasicSolver/2D-mpi/dcavity.par b/BasicSolver/2D-mpi/dcavity.par index b4013d6..5bd2c1e 100644 --- a/BasicSolver/2D-mpi/dcavity.par +++ b/BasicSolver/2D-mpi/dcavity.par @@ -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 #=============================================================================== diff --git a/BasicSolver/2D-mpi/pressure.dat b/BasicSolver/2D-mpi/pressure.dat new file mode 100644 index 0000000..5c1cc02 --- /dev/null +++ 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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 \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) { diff --git a/BasicSolver/2D-mpi/src/parameter.c b/BasicSolver/2D-mpi/src/parameter.c index 84304aa..18e7fa8 100644 --- a/BasicSolver/2D-mpi/src/parameter.c +++ b/BasicSolver/2D-mpi/src/parameter.c @@ -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); + } } diff --git a/BasicSolver/2D-mpi/src/parameter.h b/BasicSolver/2D-mpi/src/parameter.h index f4c331a..2fd7947 100644 --- a/BasicSolver/2D-mpi/src/parameter.h +++ b/BasicSolver/2D-mpi/src/parameter.h @@ -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; diff --git a/BasicSolver/2D-mpi/src/solver.c b/BasicSolver/2D-mpi/src/solver.c index cbff349..4376087 100644 --- a/BasicSolver/2D-mpi/src/solver.c +++ b/BasicSolver/2D-mpi/src/solver.c @@ -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++) { diff --git a/BasicSolver/2D-mpi/src/solver.h b/BasicSolver/2D-mpi/src/solver.h index b13dbe2..c077ea5 100644 --- a/BasicSolver/2D-mpi/src/solver.h +++ b/BasicSolver/2D-mpi/src/solver.h @@ -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 @@ 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b/BasicSolver/2D-mpi/velocity.png differ diff --git a/BasicSolver/2D-seq/canal.par b/BasicSolver/2D-seq/canal.par index 8b9fd9c..3f40724 100644 --- a/BasicSolver/2D-seq/canal.par +++ b/BasicSolver/2D-seq/canal.par @@ -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 #=============================================================================== diff --git a/BasicSolver/2D-seq/config.mk b/BasicSolver/2D-seq/config.mk index af5f1a0..88fec3f 100644 --- a/BasicSolver/2D-seq/config.mk +++ b/BasicSolver/2D-seq/config.mk @@ -1,5 +1,5 @@ # Supported: GCC, CLANG, ICC -TAG ?= CLANG +TAG ?= ICC ENABLE_OPENMP ?= false #Feature options diff --git a/BasicSolver/2D-seq/dcavity.par b/BasicSolver/2D-seq/dcavity.par index 4241393..05164b5 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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); diff --git a/BasicSolver/2D-seq/src/parameter.c b/BasicSolver/2D-seq/src/parameter.c index d691627..62c6fea 100644 --- a/BasicSolver/2D-seq/src/parameter.c +++ b/BasicSolver/2D-seq/src/parameter.c @@ -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); + } diff --git a/BasicSolver/2D-seq/src/parameter.h b/BasicSolver/2D-seq/src/parameter.h index f4c331a..2fd7947 100644 --- a/BasicSolver/2D-seq/src/parameter.h +++ b/BasicSolver/2D-seq/src/parameter.h @@ -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; diff --git a/BasicSolver/2D-seq/src/solver.c b/BasicSolver/2D-seq/src/solver.c index 7720be1..d91bfed 100644 --- a/BasicSolver/2D-seq/src/solver.c +++ b/BasicSolver/2D-seq/src/solver.c @@ -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); diff --git a/BasicSolver/2D-seq/src/solver.h b/BasicSolver/2D-seq/src/solver.h index 56f0297..c833179 100644 --- a/BasicSolver/2D-seq/src/solver.h +++ b/BasicSolver/2D-seq/src/solver.h @@ -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 */ diff --git a/BasicSolver/2D-seq/velocity.dat b/BasicSolver/2D-seq/velocity.dat new file mode 100644 index 0000000..f80e69d --- /dev/null +++ b/BasicSolver/2D-seq/velocity.dat @@ -0,0 +1,10000 @@ +0.07 0.04 -nan -nan -nan +0.22 0.04 -nan -nan -nan +0.38 0.04 -nan -nan -nan +0.53 0.04 -nan -nan -nan +0.67 0.04 nan -nan nan +0.82 0.04 -nan nan -nan +0.97 0.04 nan -nan nan +1.12 0.04 -nan nan -nan +1.27 0.04 nan -nan nan +1.43 0.04 nan nan nan +1.57 0.04 -nan nan 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b/PoissonSolver/2D-mpi/poisson.par index 1f23554..b94e33c 100644 --- a/PoissonSolver/2D-mpi/poisson.par +++ b/PoissonSolver/2D-mpi/poisson.par @@ -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 #=============================================================================== diff --git a/PoissonSolver/2D-mpi/src/main.c b/PoissonSolver/2D-mpi/src/main.c index c797be3..ae6ed06 100644 --- a/PoissonSolver/2D-mpi/src/main.c +++ b/PoissonSolver/2D-mpi/src/main.c @@ -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 \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(); diff --git a/PoissonSolver/2D-mpi/src/parameter.c b/PoissonSolver/2D-mpi/src/parameter.c index 6c08af9..b7f5089 100644 --- a/PoissonSolver/2D-mpi/src/parameter.c +++ b/PoissonSolver/2D-mpi/src/parameter.c @@ -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); + } } diff --git a/PoissonSolver/2D-mpi/src/parameter.h b/PoissonSolver/2D-mpi/src/parameter.h index d57ce19..6af2e2f 100644 --- a/PoissonSolver/2D-mpi/src/parameter.h +++ b/PoissonSolver/2D-mpi/src/parameter.h @@ -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*); diff --git a/PoissonSolver/2D-mpi/src/solver.c b/PoissonSolver/2D-mpi/src/solver.c index 7264c44..690a0e1 100644 --- a/PoissonSolver/2D-mpi/src/solver.c +++ b/PoissonSolver/2D-mpi/src/solver.c @@ -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; diff --git a/PoissonSolver/2D-mpi/src/solver.h b/PoissonSolver/2D-mpi/src/solver.h index aa082c5..f2da1ca 100644 --- a/PoissonSolver/2D-mpi/src/solver.h +++ b/PoissonSolver/2D-mpi/src/solver.h @@ -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 diff --git a/PoissonSolver/2D-seq/config.mk b/PoissonSolver/2D-seq/config.mk index 2abcf13..b510e5b 100644 --- a/PoissonSolver/2D-seq/config.mk +++ b/PoissonSolver/2D-seq/config.mk @@ -1,5 +1,5 @@ # Supported: GCC, CLANG, ICC -TAG ?= CLANG +TAG ?= ICC ENABLE_OPENMP ?= false #Feature options diff --git a/PoissonSolver/2D-seq/p.dat b/PoissonSolver/2D-seq/p.dat new file mode 100644 index 0000000..612d3ae --- /dev/null +++ b/PoissonSolver/2D-seq/p.dat @@ -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 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