From 9f55413efbe4aee3eb0e2b5a7811ed4219e2bbe6 Mon Sep 17 00:00:00 2001 From: Aditya ujeniya Date: Wed, 5 Jul 2023 20:38:50 +0200 Subject: [PATCH] Completed porting, fixing bugs and testing --- BasicSolver/2D-mpi-v1/canal.par | 1 + BasicSolver/2D-mpi-v1/dcavity.par | 1 + BasicSolver/2D-mpi-v1/pressure.dat | 20050 ++-- BasicSolver/2D-mpi-v1/src/main.c | 27 +- BasicSolver/2D-mpi-v1/src/solver.c | 59 +- BasicSolver/2D-mpi-v1/velocity.dat | 20000 ++-- BasicSolver/2D-mpi-v1/velocity.png | Bin 211505 -> 19377 bytes BasicSolver/2D-mpi-v2/canal.par | 2 +- BasicSolver/2D-mpi-v2/dcavity.par | 2 +- BasicSolver/2D-mpi-v2/pressure.dat | 19602 ++-- BasicSolver/2D-mpi-v2/src/main.c | 26 +- BasicSolver/2D-mpi-v2/src/solver.c | 59 +- BasicSolver/2D-mpi-v2/velocity.dat | 19552 ++-- BasicSolver/2D-mpi-v2/velocity.png | Bin 188548 -> 19656 bytes BasicSolver/2D-mpi-v3/canal.par | 2 +- BasicSolver/2D-mpi-v3/dcavity.par | 2 +- BasicSolver/2D-mpi-v3/pressure.dat | 19602 ++-- BasicSolver/2D-mpi-v3/src/main.c | 25 +- BasicSolver/2D-mpi-v3/src/solver.c | 59 +- BasicSolver/2D-mpi-v3/velocity.dat | 19552 ++-- BasicSolver/2D-mpi-v3/velocity.png | Bin 172974 -> 36022 bytes BasicSolver/2D-mpi/canal.par | 2 +- BasicSolver/2D-mpi/config.mk | 2 +- BasicSolver/2D-mpi/dcavity.par | 2 +- BasicSolver/2D-mpi/pressure.dat | 19673 ++-- BasicSolver/2D-mpi/src/main.c | 28 +- BasicSolver/2D-mpi/src/solver.c | 2 +- BasicSolver/2D-mpi/velocity.dat | 19420 ++-- BasicSolver/2D-mpi/velocity.png | Bin 11411 -> 10913 bytes BasicSolver/2D-seq/canal.par | 2 +- BasicSolver/2D-seq/dcavity.par | 2 +- BasicSolver/2D-seq/pressure.dat | 11610 +-- BasicSolver/2D-seq/src/solver.c | 2 +- BasicSolver/2D-seq/velocity.dat | 11600 +-- BasicSolver/2D-seq/velocity.png | Bin 15894 -> 15892 bytes BasicSolver/3D-mpi/canal-p4.vtk | 8011 ++ BasicSolver/3D-mpi/canal.par | 7 +- BasicSolver/3D-mpi/dcavity-p4.vtk | 128011 ++++++++++++++++++++++++++ BasicSolver/3D-mpi/dcavity.par | 7 +- BasicSolver/3D-mpi/src/comm.c | 6 +- BasicSolver/3D-mpi/src/main.c | 58 +- BasicSolver/3D-mpi/src/parameter.c | 4 + BasicSolver/3D-mpi/src/parameter.h | 2 +- BasicSolver/3D-mpi/src/solver.c | 266 +- BasicSolver/3D-mpi/src/solver.h | 4 +- BasicSolver/3D-seq/canal.par | 7 +- BasicSolver/3D-seq/canal.vtk | 8011 ++ BasicSolver/3D-seq/config.mk | 2 +- BasicSolver/3D-seq/dcavity.par | 9 +- BasicSolver/3D-seq/dcavity.vtk | 128011 ++++++++++++++++++++++++++ BasicSolver/3D-seq/src/main.c | 58 +- BasicSolver/3D-seq/src/parameter.c | 2 + BasicSolver/3D-seq/src/parameter.h | 2 +- BasicSolver/3D-seq/src/solver.c | 91 + BasicSolver/3D-seq/src/solver.h | 3 +- PoissonSolver/2D-mpi/p.dat | 400 +- PoissonSolver/2D-seq/p.dat | 404 +- PoissonSolver/2D-seq/p.png | Bin 0 -> 13737 bytes 58 files changed, 354835 insertions(+), 99509 deletions(-) create mode 100644 BasicSolver/3D-mpi/canal-p4.vtk create mode 100644 BasicSolver/3D-mpi/dcavity-p4.vtk create mode 100644 BasicSolver/3D-seq/canal.vtk create mode 100644 BasicSolver/3D-seq/dcavity.vtk create mode 100644 PoissonSolver/2D-seq/p.png diff --git a/BasicSolver/2D-mpi-v1/canal.par b/BasicSolver/2D-mpi-v1/canal.par index c90294c..7517c0f 100644 --- a/BasicSolver/2D-mpi-v1/canal.par +++ b/BasicSolver/2D-mpi-v1/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 0.52 omg 1.8 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/2D-mpi-v1/dcavity.par b/BasicSolver/2D-mpi-v1/dcavity.par index b5c22ce..e215069 100644 --- a/BasicSolver/2D-mpi-v1/dcavity.par +++ b/BasicSolver/2D-mpi-v1/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 0.5 omg 1.7 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/2D-mpi-v1/pressure.dat b/BasicSolver/2D-mpi-v1/pressure.dat index 99ca599..f6967f5 100644 --- a/BasicSolver/2D-mpi-v1/pressure.dat +++ b/BasicSolver/2D-mpi-v1/pressure.dat @@ -1,10100 +1,10050 @@ -0.01 0.01 0.027446 -0.01 0.01 0.027455 -0.03 0.01 0.027451 -0.04 0.01 0.027433 -0.04 0.01 0.027399 -0.06 0.01 0.027351 -0.07 0.01 0.027289 -0.07 0.01 0.027216 -0.09 0.01 0.027133 -0.10 0.01 0.027041 -0.10 0.01 0.026942 -0.12 0.01 0.026836 -0.12 0.01 0.026724 -0.14 0.01 0.026606 -0.14 0.01 0.026484 -0.15 0.01 0.026358 -0.17 0.01 0.026228 -0.18 0.01 0.026093 -0.18 0.01 0.025956 -0.20 0.01 0.025815 -0.21 0.01 0.025672 -0.21 0.01 0.025526 -0.23 0.01 0.025380 -0.24 0.01 0.025232 -0.24 0.01 0.025085 -0.26 0.01 0.024938 -0.27 0.01 0.024793 -0.28 0.01 0.024651 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d6d607b..32e495f 100644 --- a/BasicSolver/2D-mpi-v1/src/main.c +++ b/BasicSolver/2D-mpi-v1/src/main.c @@ -67,15 +67,8 @@ int main (int argc, char** argv) solve(&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 RB: printf("Red-black SOR\n"); @@ -91,16 +84,10 @@ int main (int argc, char** argv) 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) { @@ -115,6 +102,10 @@ int main (int argc, char** argv) solveRBA(&solver); adaptUV(&solver); t += solver.dt; + } + + break; + } #ifdef VERBOSE if (rank == 0) { @@ -123,9 +114,7 @@ int main (int argc, char** argv) #else printProgress(t); #endif - } - break; - } + E = getTimeStamp(); stopProgress(); diff --git a/BasicSolver/2D-mpi-v1/src/solver.c b/BasicSolver/2D-mpi-v1/src/solver.c index 1709257..521a8c5 100644 --- a/BasicSolver/2D-mpi-v1/src/solver.c +++ b/BasicSolver/2D-mpi-v1/src/solver.c @@ -301,6 +301,7 @@ void solve(Solver* solver) int it = 0; double res = 1.0; + while ((res >= epssq) && (it < itermax)) { res = 0.0; exchange(solver, p); @@ -317,6 +318,8 @@ void solve(Solver* solver) } } + + if (solver->rank == 0) { for (int i = 1; i < imax + 1; i++) { P(i, 0) = P(i, 1); @@ -368,21 +371,28 @@ void solveRB(Solver* solver) double epssq = eps * eps; int it = 0; double res = 1.0; + int pass, jsw, isw; while ((res >= epssq) && (it < itermax)) { - res = 0.0; - exchange(solver, p); + jsw = 1; - for (int j = 1; j < jmaxLocal + 1; j++) { - for (int i = 1; i < imax + 1; i++) { + for (pass = 0; pass < 2; pass++) { + isw = jsw; + exchange(solver, p); - 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); + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imax + 1; i += 2) { - P(i, j) -= (factor * r); - res += (r * r); + 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; } if (solver->rank == 0) { @@ -430,27 +440,40 @@ void solveRBA(Solver* solver) 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 factor = 0.5 * (dx2 * dy2) / (dx2 + dy2); double* p = solver->p; double* rhs = solver->rhs; + double rho = solver->rho; double epssq = eps * eps; int it = 0; double res = 1.0; + double omega = 1.0; + int pass, jsw, isw; + while ((res >= epssq) && (it < itermax)) { res = 0.0; - exchange(solver, p); + jsw = 1; - for (int j = 1; j < jmaxLocal + 1; j++) { - for (int i = 1; i < imax + 1; i++) { + for (pass = 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sizeOfRank(solver->rank, dims[IDIM], solver->imax); - solver->jmaxLocal = sizeOfRank(solver->rank, dims[JDIM], solver->jmax); + solver->imaxLocal = sizeOfRank(solver->coords[IDIM], dims[IDIM], solver->imax); + solver->jmaxLocal = sizeOfRank(solver->coords[JDIM], dims[JDIM], solver->jmax); MPI_Type_contiguous(solver->imaxLocal, MPI_DOUBLE, &solver->jBufferType); MPI_Type_commit(&solver->jBufferType); @@ -585,21 +585,28 @@ int solveRB(Solver* solver) double epssq = eps * eps; int it = 0; double res = 1.0; + int pass, jsw, isw; while ((res >= epssq) && (it < itermax)) { - res = 0.0; - exchange(solver, p); + jsw = 1; - for (int j = 1; j < jmaxLocal + 1; j++) { - for (int i = 1; i < imaxLocal + 1; i++) { + for (pass = 0; pass < 2; pass++) { + isw = jsw; + exchange(solver, p); - 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); + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imaxLocal + 1; i += 2) { - P(i, j) -= (factor * r); - res += (r * r); + 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; } if (solver->coords[JDIM] == 0) { // set bottom bc @@ -660,27 +667,39 @@ int solveRBA(Solver* solver) 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 factor = 0.5 * (dx2 * dy2) / (dx2 + dy2); double* p = solver->p; double* rhs = solver->rhs; + double rho = solver->rho; double epssq = eps * eps; int it = 0; double res = 1.0; + double omega = 1.0; + int pass, jsw, isw; while ((res >= epssq) && (it < itermax)) { res = 0.0; - exchange(solver, p); + jsw = 1; - for (int j = 1; j < jmaxLocal + 1; j++) { - for (int i = 1; i < imaxLocal + 1; i++) { + for (pass = 0; pass < 2; pass++) { + isw = jsw; + exchange(solver, p); - 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); + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imaxLocal + 1; i += 2) { - P(i, j) -= (factor * r); - res += (r * r); + 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)); } if (solver->coords[JDIM] == 0) { // set bottom bc diff --git a/BasicSolver/2D-mpi-v2/velocity.dat b/BasicSolver/2D-mpi-v2/velocity.dat index 28ff0b4..668a58a 100644 --- a/BasicSolver/2D-mpi-v2/velocity.dat +++ b/BasicSolver/2D-mpi-v2/velocity.dat @@ -1,9801 +1,9751 @@ -0.01 0.01 0.000030 -0.000030 0.000043 -0.01 0.01 0.000033 -0.000004 0.000033 -0.03 0.01 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jmaxLocal + 1; j++) { - for (int i = 1; i < imaxLocal + 1; i++) { + for (pass = 0; pass < 2; pass++) { + isw = jsw; + exchange(solver, p); - 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); + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imaxLocal + 1; i += 2) { - P(i, j) -= (factor * r); - res += (r * r); + 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; } if (solver->coords[JDIM] == 0) { // set bottom bc @@ -595,29 +602,43 @@ int solveRBA(Solver* solver) 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 factor = 0.5 * (dx2 * dy2) / (dx2 + dy2); double* p = solver->p; double* rhs = solver->rhs; + double rho = solver->rho; + double omega = 1.0; double epssq = eps * eps; int it = 0; double res = 1.0; + int pass, jsw, isw; + + while ((res >= epssq) && (it < itermax)) { res = 0.0; - exchange(solver, p); + jsw = 1; - for (int j = 1; j < jmaxLocal + 1; j++) { - for (int i = 1; i < imaxLocal + 1; i++) { + for (pass = 0; pass < 2; pass++) { + isw = jsw; + exchange(solver, p); - 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); + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imaxLocal + 1; i += 2) { - P(i, j) -= (factor * r); - res += (r * r); + 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)); } - + if (solver->coords[JDIM] == 0) { // set bottom bc for (int i = 1; i < imaxLocal + 1; i++) { P(i, 0) = P(i, 1); diff --git a/BasicSolver/2D-mpi-v3/velocity.dat b/BasicSolver/2D-mpi-v3/velocity.dat index f88b00f..668a58a 100644 --- a/BasicSolver/2D-mpi-v3/velocity.dat +++ b/BasicSolver/2D-mpi-v3/velocity.dat @@ -1,9801 +1,9751 @@ -0.01 0.01 0.000033 -0.000033 0.000046 -0.01 0.01 0.000063 -0.000034 0.000072 -0.03 0.01 0.000087 -0.000024 0.000090 -0.04 0.01 0.000096 -0.000007 0.000096 -0.04 0.01 0.000084 0.000014 0.000085 -0.06 0.01 0.000047 0.000037 0.000060 -0.07 0.01 -0.000017 0.000062 0.000064 -0.07 0.01 -0.000109 0.000086 0.000139 -0.09 0.01 -0.000229 0.000111 0.000254 -0.10 0.01 -0.000376 0.000134 0.000399 -0.10 0.01 -0.000549 0.000156 0.000571 -0.12 0.01 -0.000747 0.000177 0.000768 -0.12 0.01 -0.000968 0.000197 0.000988 -0.14 0.01 -0.001211 0.000214 0.001230 -0.14 0.01 -0.001474 0.000231 0.001491 -0.15 0.01 -0.001754 0.000245 0.001771 -0.17 0.01 -0.002050 0.000258 0.002067 -0.18 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b/BasicSolver/2D-mpi/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/dcavity.par b/BasicSolver/2D-mpi/dcavity.par index 5bd2c1e..17c920e 100644 --- a/BasicSolver/2D-mpi/dcavity.par +++ b/BasicSolver/2D-mpi/dcavity.par @@ -41,7 +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 +rho 0.5 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 index 5c1cc02..3393056 100644 --- a/BasicSolver/2D-mpi/pressure.dat +++ b/BasicSolver/2D-mpi/pressure.dat @@ -1,9900 +1,9907 @@ -0.01 0.01 0.000000 -0.01 0.01 0.000000 -0.03 0.01 0.000000 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printf("Red-black SOR\n"); while (t <= te) { @@ -96,16 +90,10 @@ int main (int argc, char** argv) 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) { @@ -120,6 +108,10 @@ int main (int argc, char** argv) solveRBA(&solver); adaptUV(&solver); t += solver.dt; + } + + break; + } #ifdef VERBOSE if (rank == 0) { @@ -128,10 +120,6 @@ int main (int argc, char** argv) #else printProgress(t); #endif - } - break; - } - E = getTimeStamp(); stopProgress(); diff --git a/BasicSolver/2D-mpi/src/solver.c b/BasicSolver/2D-mpi/src/solver.c index 4376087..f0945ad 100644 --- a/BasicSolver/2D-mpi/src/solver.c +++ b/BasicSolver/2D-mpi/src/solver.c @@ -324,7 +324,7 @@ int solveRBA(Solver* s) double dy2 = s->dy * s->dy; double idx2 = 1.0 / dx2; double idy2 = 1.0 / dy2; - double factor = s->omega * 0.5 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omg 1.8 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/2D-seq/dcavity.par b/BasicSolver/2D-seq/dcavity.par index 05164b5..3714329 100644 --- a/BasicSolver/2D-seq/dcavity.par +++ b/BasicSolver/2D-seq/dcavity.par @@ -41,7 +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 +rho 0.5 omg 1.7 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/2D-seq/pressure.dat b/BasicSolver/2D-seq/pressure.dat index ce5cc0c..798622e 100644 --- a/BasicSolver/2D-seq/pressure.dat +++ b/BasicSolver/2D-seq/pressure.dat @@ -1,10050 +1,1640 @@ -0.07 0.04 -nan -0.22 0.04 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-0.000392 +0.477393 -0.000030 0.000030 diff --git a/BasicSolver/3D-mpi/canal.par b/BasicSolver/3D-mpi/canal.par index 3ff4a5f..4559098 100644 --- a/BasicSolver/3D-mpi/canal.par +++ b/BasicSolver/3D-mpi/canal.par @@ -31,9 +31,9 @@ p_init 0.0 # initial value for pressure xlength 30.0 # domain size in x-direction ylength 4.0 # domain size in y-direction zlength 4.0 # domain size in z-direction -imax 200 # number of interior cells in x-direction -jmax 50 # number of interior cells in y-direction -kmax 50 # number of interior cells in z-direction +imax 40 # number of interior cells in x-direction +jmax 10 # number of interior cells in y-direction +kmax 10 # number of interior cells in z-direction # Time Data: # --------- @@ -47,6 +47,7 @@ tau 0.5 # safety factor for time stepsize control (<0 constant delt) itermax 500 # maximal number of pressure iteration in one time step eps 0.0001 # stopping tolerance for pressure iteration +rho 0.52 omg 1.3 # relaxation parameter for SOR iteration gamma 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b/BasicSolver/3D-mpi/dcavity.par index c5cb201..5d80533 100644 --- a/BasicSolver/3D-mpi/dcavity.par +++ b/BasicSolver/3D-mpi/dcavity.par @@ -31,9 +31,9 @@ p_init 0.0 # initial value for pressure xlength 1.0 # domain size in x-direction ylength 1.0 # domain size in y-direction zlength 1.0 # domain size in z-direction -imax 128 # number of interior cells in x-direction -jmax 128 # number of interior cells in y-direction -kmax 128 # number of interior cells in z-direction +imax 40 # number of interior cells in x-direction +jmax 40 # number of interior cells in y-direction +kmax 40 # number of interior cells in z-direction # Time Data: # --------- @@ -47,6 +47,7 @@ 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 0.5 omg 1.8 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/3D-mpi/src/comm.c b/BasicSolver/3D-mpi/src/comm.c index 568b550..53d9364 100644 --- a/BasicSolver/3D-mpi/src/comm.c +++ b/BasicSolver/3D-mpi/src/comm.c @@ -475,9 +475,9 @@ void commInit(Comm* c, int kmax, int jmax, int imax) MPI_Cart_shift(c->comm, KCORD, 1, &c->neighbours[FRONT], &c->neighbours[BACK]); MPI_Cart_get(c->comm, NCORDS, c->dims, periods, c->coords); - c->imaxLocal = sizeOfRank(c->rank, dims[ICORD], imax); - c->jmaxLocal = sizeOfRank(c->rank, dims[JCORD], jmax); - c->kmaxLocal = sizeOfRank(c->rank, dims[KCORD], kmax); + c->imaxLocal = sizeOfRank(c->coords[IDIM], dims[ICORD], imax); + c->jmaxLocal = sizeOfRank(c->coords[JDIM], dims[JCORD], jmax); + c->kmaxLocal = sizeOfRank(c->coords[KDIM], dims[KCORD], kmax); // setup buffer types for communication setupCommunication(c, LEFT, BULK); diff --git a/BasicSolver/3D-mpi/src/main.c b/BasicSolver/3D-mpi/src/main.c index f53e2a1..ab73da5 100644 --- a/BasicSolver/3D-mpi/src/main.c +++ b/BasicSolver/3D-mpi/src/main.c @@ -19,9 +19,13 @@ #include "timing.h" #include "vtkWriter.h" +enum VARIANT { SOR = 1, RB, RBA }; + int main(int argc, char** argv) { int rank; + int variant = SOR; + double timeStart, timeStop; Parameter params; Solver solver; @@ -30,12 +34,16 @@ 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 (commIsMaster(&solver.comm)) { printParameter(¶ms); } @@ -50,7 +58,11 @@ int main(int argc, char** argv) int nt = 0; timeStart = getTimeStamp(); - while (t <= te) { + + switch (variant) { + case SOR: + printf("Plain SOR\n"); + while (t <= te) { if (tau > 0.0) computeTimestep(&solver); setBoundaryConditions(&solver); setSpecialBoundaryCondition(&solver); @@ -61,15 +73,53 @@ int main(int argc, char** argv) adaptUV(&solver); t += solver.dt; nt++; + } + + 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++; + } + + 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++; + } + + break; + } #ifdef VERBOSE - if (commIsMaster(&solver.comm)) { + if (rank == 0) { printf("TIME %f , TIMESTEP %f\n", t, solver.dt); } #else printProgress(t); #endif - } + timeStop = getTimeStamp(); stopProgress(); if (commIsMaster(&solver.comm)) { diff --git a/BasicSolver/3D-mpi/src/parameter.c b/BasicSolver/3D-mpi/src/parameter.c index d4ea5b6..dea1930 100644 --- a/BasicSolver/3D-mpi/src/parameter.c +++ b/BasicSolver/3D-mpi/src/parameter.c @@ -26,6 +26,8 @@ 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) @@ -86,6 +88,8 @@ void readParameter(Parameter* param, const char* filename) PARSE_REAL(v_init); PARSE_REAL(w_init); PARSE_REAL(p_init); + PARSE_REAL(rho); + } } diff --git a/BasicSolver/3D-mpi/src/parameter.h b/BasicSolver/3D-mpi/src/parameter.h index 6dddf5f..5290a26 100644 --- a/BasicSolver/3D-mpi/src/parameter.h +++ b/BasicSolver/3D-mpi/src/parameter.h @@ -11,7 +11,7 @@ typedef struct { int imax, jmax, kmax; double xlength, ylength, zlength; int itermax; - double eps, omg; + double eps, omg, rho; double re, tau, gamma; double te, dt; double gx, gy, gz; diff --git a/BasicSolver/3D-mpi/src/solver.c b/BasicSolver/3D-mpi/src/solver.c index 2a49504..181c73e 100644 --- a/BasicSolver/3D-mpi/src/solver.c +++ b/BasicSolver/3D-mpi/src/solver.c @@ -103,6 +103,8 @@ void initSolver(Solver* s, Parameter* params) s->te = params->te; s->tau = params->tau; s->gamma = params->gamma; + s->rho = params->rho; + commInit(&s->comm, s->grid.kmax, s->grid.jmax, s->grid.imax); /* allocate arrays */ @@ -173,6 +175,134 @@ void computeRHS(Solver* s) } } +void solveRB(Solver* s) +{ + int imaxLocal = s->comm.imaxLocal; + int jmaxLocal = s->comm.jmaxLocal; + int kmaxLocal = s->comm.kmaxLocal; + + int imax = s->grid.imax; + int jmax = s->grid.jmax; + int kmax = s->grid.kmax; + + double eps = s->eps; + int itermax = s->itermax; + double dx2 = s->grid.dx * s->grid.dx; + double dy2 = s->grid.dy * s->grid.dy; + double dz2 = s->grid.dz * s->grid.dz; + double idx2 = 1.0 / dx2; + double idy2 = 1.0 / dy2; + double idz2 = 1.0 / dz2; + + double factor = s->omega * 0.5 * (dx2 * dy2 * dz2) / + (dy2 * dz2 + dx2 * dz2 + dx2 * dy2); + double* p = s->p; + double* rhs = s->rhs; + double epssq = eps * eps; + int it = 0; + double res = 1.0; + int pass, ksw, jsw, isw; + + + while ((res >= epssq) && (it < itermax)) { + res = 0.0; + ksw = 1; + + for (pass = 0; pass < 2; pass++) { + jsw = ksw; + commExchange(&s->comm, p); + + + for (int k = 1; k < kmaxLocal + 1; k++) { + isw = jsw; + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imaxLocal + 1; i += 2) { + + double r = + RHS(i, j, k) - + ((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 + + (P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) * + idy2 + + (P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) * + idz2); + + P(i, j, k) -= (factor * r); + res += (r * r); + } + isw = 3 - isw; + } + jsw = 3 - jsw; + } + ksw = 3 - ksw; + } + + if (commIsBoundary(&s->comm, FRONT)) { + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, j, 0) = P(i, j, 1); + } + } + } + + if (commIsBoundary(&s->comm, BACK)) { + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, j, kmaxLocal + 1) = P(i, j, kmaxLocal); + } + } + } + + if (commIsBoundary(&s->comm, BOTTOM)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, 0, k) = P(i, 1, k); + } + } + } + + if (commIsBoundary(&s->comm, TOP)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, jmaxLocal + 1, k) = P(i, jmaxLocal, k); + } + } + } + + if (commIsBoundary(&s->comm, LEFT)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int j = 1; j < jmaxLocal + 1; j++) { + P(0, j, k) = P(1, j, k); + } + } + } + + if (commIsBoundary(&s->comm, RIGHT)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int j = 1; j < jmaxLocal + 1; j++) { + P(imaxLocal + 1, j, k) = P(imaxLocal, j, k); + } + } + } + + commReduction(&res, SUM); + res = res / (double)(imax * jmax * kmax); +#ifdef DEBUG + if (commIsMaster(&s->comm)) { + printf("%d Residuum: %e\n", it, res); + } +#endif + commExchange(&s->comm, p); + it++; + } + +#ifdef VERBOSE + if (commIsMaster(&s->comm)) { + printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + } +#endif +} + + void solve(Solver* s) { int imaxLocal = s->comm.imaxLocal; @@ -199,10 +329,11 @@ void solve(Solver* s) double epssq = eps * eps; int it = 0; double res = 1.0; - commExchange(&s->comm, p); while ((res >= epssq) && (it < itermax)) { res = 0.0; + commExchange(&s->comm, p); + for (int k = 1; k < kmaxLocal + 1; k++) { for (int j = 1; j < jmaxLocal + 1; j++) { @@ -288,6 +419,139 @@ void solve(Solver* s) #endif } + +void solveRBA(Solver* s) +{ + int imaxLocal = s->comm.imaxLocal; + int jmaxLocal = s->comm.jmaxLocal; + int kmaxLocal = s->comm.kmaxLocal; + + int imax = s->grid.imax; + int jmax = s->grid.jmax; + int kmax = s->grid.kmax; + + double eps = s->eps; + int itermax = s->itermax; + double dx2 = s->grid.dx * s->grid.dx; + double dy2 = s->grid.dy * s->grid.dy; + double dz2 = s->grid.dz * s->grid.dz; + double idx2 = 1.0 / dx2; + double idy2 = 1.0 / dy2; + double idz2 = 1.0 / dz2; + + double factor = 0.5 * (dx2 * dy2 * dz2) / + (dy2 * dz2 + dx2 * dz2 + dx2 * dy2); + double* p = s->p; + double* rhs = s->rhs; + double epssq = eps * eps; + double omega = 1.0; + double rho = s->rho; + int it = 0; + double res = 1.0; + int pass, ksw, jsw, isw; + commExchange(&s->comm, p); + + while ((res >= epssq) && (it < itermax)) { + res = 0.0; + ksw = 1; + + for (pass = 0; pass < 2; pass++) { + jsw = ksw; + commExchange(&s->comm, p); + + + for (int k = 1; k < kmaxLocal + 1; k++) { + isw = jsw; + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = isw; i < imaxLocal + 1; i += 2) { + + double r = + RHS(i, j, k) - + ((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 + + (P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) * + idy2 + + (P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) * + idz2); + + P(i, j, k) -= (omega * factor * r); + res += (r * r); + } + isw = 3 - isw; + } + jsw = 3 - jsw; + } + ksw = 3 - ksw; + omega = (it == 0 && pass == 0 ? 1.0 / (1.0 - 0.5 * rho * rho) + : 1.0 / (1.0 - 0.25 * rho * rho * omega)); + } + + if (commIsBoundary(&s->comm, FRONT)) { + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, j, 0) = P(i, j, 1); + } + } + } + + if (commIsBoundary(&s->comm, BACK)) { + for (int j = 1; j < jmaxLocal + 1; j++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, j, kmaxLocal + 1) = P(i, j, kmaxLocal); + } + } + } + + if (commIsBoundary(&s->comm, BOTTOM)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, 0, k) = P(i, 1, k); + } + } + } + + if (commIsBoundary(&s->comm, TOP)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int i = 1; i < imaxLocal + 1; i++) { + P(i, jmaxLocal + 1, k) = P(i, jmaxLocal, k); + } + } + } + + if (commIsBoundary(&s->comm, LEFT)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int j = 1; j < jmaxLocal + 1; j++) { + P(0, j, k) = P(1, j, k); + } + } + } + + if (commIsBoundary(&s->comm, RIGHT)) { + for (int k = 1; k < kmaxLocal + 1; k++) { + for (int j = 1; j < jmaxLocal + 1; j++) { + P(imaxLocal + 1, j, k) = P(imaxLocal, j, k); + } + } + } + + commReduction(&res, SUM); + res = res / (double)(imax * jmax * kmax); +#ifdef DEBUG + if (commIsMaster(&s->comm)) { + printf("%d Residuum: %e\n", it, res); + } +#endif + commExchange(&s->comm, p); + it++; + } + +#ifdef VERBOSE + if (commIsMaster(&s->comm)) { + printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + } +#endif +} + + static double maxElement(Solver* s, double* m) { int size = (s->comm.imaxLocal + 2) * (s->comm.jmaxLocal + 2) * diff --git a/BasicSolver/3D-mpi/src/solver.h b/BasicSolver/3D-mpi/src/solver.h index ac9f450..12d855d 100644 --- a/BasicSolver/3D-mpi/src/solver.h +++ b/BasicSolver/3D-mpi/src/solver.h @@ -20,7 +20,7 @@ typedef struct { double *f, *g, *h; double *u, *v, *w; /* parameters */ - double eps, omega; + double eps, omega, rho; double re, tau, gamma; double gx, gy, gz; /* time stepping */ @@ -36,6 +36,8 @@ 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/3D-seq/canal.par b/BasicSolver/3D-seq/canal.par index 30e1f41..8d32565 100644 --- a/BasicSolver/3D-seq/canal.par +++ b/BasicSolver/3D-seq/canal.par @@ -31,9 +31,9 @@ p_init 0.0 # initial value for pressure xlength 30.0 # domain size in x-direction ylength 4.0 # domain size in y-direction zlength 4.0 # domain size in z-direction -imax 200 # number of interior cells in x-direction -jmax 50 # number of interior cells in y-direction -kmax 50 # number of interior cells in z-direction +imax 40 # number of interior cells in x-direction +jmax 10 # number of interior cells in y-direction +kmax 10 # number of interior cells in z-direction # Time Data: # --------- @@ -47,6 +47,7 @@ tau 0.5 # safety factor for time stepsize control (<0 constant delt) itermax 500 # maximal number of pressure iteration in one time step eps 0.0001 # stopping tolerance for pressure iteration +omg 0.52 omg 1.7 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/3D-seq/canal.vtk b/BasicSolver/3D-seq/canal.vtk new file mode 100644 index 0000000..2da874f --- /dev/null +++ b/BasicSolver/3D-seq/canal.vtk @@ -0,0 +1,8011 @@ +# vtk DataFile Version 3.0 +PAMPI cfd solver output +ASCII +DATASET STRUCTURED_POINTS +DIMENSIONS 40 10 10 +ORIGIN 0.375000 0.200000 0.200000 +SPACING 0.750000 0.400000 0.400000 +POINT_DATA 4000 +SCALARS pressure float 1 +LOOKUP_TABLE default +-175.716237 +-175.726614 +-175.738653 +-175.752067 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+0.109541 -0.000210 0.000070 +0.109032 -0.000195 0.000063 +0.108557 -0.000181 0.000059 +0.108132 -0.000164 0.000060 +0.107802 -0.000145 0.000074 +0.107669 -0.000114 0.000114 diff --git a/BasicSolver/3D-seq/config.mk b/BasicSolver/3D-seq/config.mk index af5f1a0..88fec3f 100644 --- a/BasicSolver/3D-seq/config.mk +++ b/BasicSolver/3D-seq/config.mk @@ -1,5 +1,5 @@ # Supported: GCC, CLANG, ICC -TAG ?= CLANG +TAG ?= ICC ENABLE_OPENMP ?= false #Feature options diff --git a/BasicSolver/3D-seq/dcavity.par b/BasicSolver/3D-seq/dcavity.par index 6d1ef6d..1a498ff 100644 --- a/BasicSolver/3D-seq/dcavity.par +++ b/BasicSolver/3D-seq/dcavity.par @@ -31,14 +31,14 @@ p_init 0.0 # initial value for pressure xlength 1.0 # domain size in x-direction ylength 1.0 # domain size in y-direction zlength 1.0 # domain size in z-direction -imax 128 # number of interior cells in x-direction -jmax 128 # number of interior cells in y-direction -kmax 128 # number of interior cells in z-direction +imax 40 # number of interior cells in x-direction +jmax 40 # number of interior cells in y-direction +kmax 40 # number of interior cells in z-direction # Time Data: # --------- -te 2.0 # final time +te 10.0 # final time dt 0.02 # time stepsize tau 0.5 # safety factor for time stepsize control (<0 constant delt) @@ -47,6 +47,7 @@ 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 0.5 omg 1.7 # relaxation parameter for SOR iteration gamma 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/3D-seq/dcavity.vtk b/BasicSolver/3D-seq/dcavity.vtk new file mode 100644 index 0000000..feff749 --- /dev/null +++ b/BasicSolver/3D-seq/dcavity.vtk @@ -0,0 +1,128011 @@ +# vtk DataFile Version 3.0 +PAMPI cfd solver output +ASCII +DATASET STRUCTURED_POINTS +DIMENSIONS 40 40 40 +ORIGIN 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-0.046871 0.086334 diff --git a/BasicSolver/3D-seq/src/main.c b/BasicSolver/3D-seq/src/main.c index 73f9df2..0d77840 100644 --- a/BasicSolver/3D-seq/src/main.c +++ b/BasicSolver/3D-seq/src/main.c @@ -19,6 +19,9 @@ #define G(v, i, j, k) v[(k) * (imax + 2) * (jmax + 2) + (j) * (imax + 2) + (i)] +enum VARIANT { SOR = 1, RB, RBA }; + + static void createBulkArrays(Solver* s, double* pg, double* ug, double* vg, double* wg) { int imax = s->grid.imax; @@ -67,17 +70,24 @@ static void createBulkArrays(Solver* s, double* pg, double* ug, double* vg, doub int main(int argc, char** argv) { + int rank; + int variant = SOR; + double timeStart, timeStop; Parameter params; Solver s; 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]); + } printParameter(¶ms); initSolver(&s, ¶ms); #ifndef VERBOSE @@ -89,7 +99,26 @@ int main(int argc, char** argv) double t = 0.0; timeStart = getTimeStamp(); - while (t <= te) { + + switch (variant) { + case SOR: + printf("Plain SOR\n"); + while (t <= te) { + if (tau > 0.0) computeTimestep(&s); + setBoundaryConditions(&s); + setSpecialBoundaryCondition(&s); + computeFG(&s); + computeRHS(&s); + solve(&s); + adaptUV(&s); + t += s.dt; + } + + break; + + case RB: + printf("Red-black SOR\n"); + while (t <= te) { if (tau > 0.0) computeTimestep(&s); setBoundaryConditions(&s); setSpecialBoundaryCondition(&s); @@ -98,13 +127,34 @@ int main(int argc, char** argv) solveRB(&s); adaptUV(&s); t += s.dt; + } + + break; + + case RBA: + printf("Red-black SOR with acceleration\n"); + while (t <= te) { + if (tau > 0.0) computeTimestep(&s); + setBoundaryConditions(&s); + setSpecialBoundaryCondition(&s); + computeFG(&s); + computeRHS(&s); + solveRBA(&s); + adaptUV(&s); + t += s.dt; + } + + break; + } #ifdef VERBOSE - printf("TIME %f , TIMESTEP %f\n", t, s.dt); + if (rank == 0) { + printf("TIME %f , TIMESTEP %f\n", t, s.dt); + } #else printProgress(t); #endif - } + timeStop = getTimeStamp(); #ifndef VERBOSE stopProgress(); diff --git a/BasicSolver/3D-seq/src/parameter.c b/BasicSolver/3D-seq/src/parameter.c index d4ea5b6..7f34f39 100644 --- a/BasicSolver/3D-seq/src/parameter.c +++ b/BasicSolver/3D-seq/src/parameter.c @@ -26,6 +26,7 @@ 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) @@ -86,6 +87,7 @@ void readParameter(Parameter* param, const char* filename) PARSE_REAL(v_init); PARSE_REAL(w_init); PARSE_REAL(p_init); + PARSE_REAL(rho); } } diff --git a/BasicSolver/3D-seq/src/parameter.h b/BasicSolver/3D-seq/src/parameter.h index 6dddf5f..5290a26 100644 --- a/BasicSolver/3D-seq/src/parameter.h +++ b/BasicSolver/3D-seq/src/parameter.h @@ -11,7 +11,7 @@ typedef struct { int imax, jmax, kmax; double xlength, ylength, zlength; int itermax; - double eps, omg; + double eps, omg, rho; double re, tau, gamma; double te, dt; double gx, gy, gz; diff --git a/BasicSolver/3D-seq/src/solver.c b/BasicSolver/3D-seq/src/solver.c index c741ece..e41c9b6 100644 --- a/BasicSolver/3D-seq/src/solver.c +++ b/BasicSolver/3D-seq/src/solver.c @@ -83,6 +83,8 @@ void initSolver(Solver* s, Parameter* params) s->te = params->te; s->tau = params->tau; s->gamma = params->gamma; + s->rho = params->rho; + int imax = s->grid.imax; int jmax = s->grid.jmax; @@ -306,6 +308,95 @@ void solveRB(Solver* s) #endif } +void solveRBA(Solver* s) +{ + int imax = s->grid.imax; + int jmax = s->grid.jmax; + int kmax = s->grid.kmax; + double eps = s->eps; + int itermax = s->itermax; + double dx2 = s->grid.dx * s->grid.dx; + double dy2 = s->grid.dy * s->grid.dy; + double dz2 = s->grid.dz * s->grid.dz; + double idx2 = 1.0 / dx2; + double idy2 = 1.0 / dy2; + double idz2 = 1.0 / dz2; + double factor = 0.5 * (dx2 * dy2 * dz2) / + (dy2 * dz2 + dx2 * dz2 + dx2 * dy2); + double* p = s->p; + double* rhs = s->rhs; + double epssq = eps * eps; + double rho = s->rho; + double omega = 1.0; + int it = 0; + double res = 1.0; + int pass, ksw, jsw, isw; + + while ((res >= epssq) && (it < itermax)) { + res = 0.0; + ksw = 1; + + for (pass = 0; pass < 2; pass++) { + jsw = ksw; + + for (int k = 1; k < kmax + 1; k++) { + isw = jsw; + for (int j = 1; j < jmax + 1; j++) { + for (int i = isw; i < imax + 1; i += 2) { + + double r = + RHS(i, j, k) - + ((P(i + 1, j, k) - 2.0 * P(i, j, k) + P(i - 1, j, k)) * idx2 + + (P(i, j + 1, k) - 2.0 * P(i, j, k) + P(i, j - 1, k)) * + idy2 + + (P(i, j, k + 1) - 2.0 * P(i, j, k) + P(i, j, k - 1)) * + idz2); + + P(i, j, k) -= (omega * factor * r); + res += (r * r); + } + isw = 3 - isw; + } + jsw = 3 - jsw; + } + ksw = 3 - ksw; + omega = (it == 0 && pass == 0 ? 1.0 / (1.0 - 0.5 * rho * rho) + : 1.0 / (1.0 - 0.25 * rho * rho * omega)); + } + + for (int j = 1; j < jmax + 1; j++) { + for (int i = 1; i < imax + 1; i++) { + P(i, j, 0) = P(i, j, 1); + P(i, j, kmax + 1) = P(i, j, kmax); + } + } + + for (int k = 1; k < kmax + 1; k++) { + for (int i = 1; i < imax + 1; i++) { + P(i, 0, k) = P(i, 1, k); + P(i, jmax + 1, k) = P(i, jmax, k); + } + } + + for (int k = 1; k < kmax + 1; k++) { + for (int j = 1; j < jmax + 1; j++) { + P(0, j, k) = P(1, j, k); + P(imax + 1, j, k) = P(imax, j, k); + } + } + + res = res / (double)(imax * jmax * kmax); +#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* s, double* m) { int size = (s->grid.imax + 2) * (s->grid.jmax + 2) * (s->grid.kmax + 2); diff --git a/BasicSolver/3D-seq/src/solver.h b/BasicSolver/3D-seq/src/solver.h index 4cec259..a2b9bcb 100644 --- a/BasicSolver/3D-seq/src/solver.h +++ b/BasicSolver/3D-seq/src/solver.h @@ -20,7 +20,7 @@ typedef struct { double *f, *g, *h; double *u, *v, *w; /* parameters */ - double eps, omega; + double eps, omega, rho; double re, tau, gamma; double gx, gy, gz; /* time stepping */ @@ -35,6 +35,7 @@ extern void initSolver(Solver*, Parameter*); extern void computeRHS(Solver*); extern void solve(Solver*); extern void solveRB(Solver*); +extern void solveRBA(Solver*); extern void normalizePressure(Solver*); extern void computeTimestep(Solver*); extern void setBoundaryConditions(Solver*); diff --git a/PoissonSolver/2D-mpi/p.dat b/PoissonSolver/2D-mpi/p.dat index 9fc8f86..ace9455 100644 --- a/PoissonSolver/2D-mpi/p.dat +++ b/PoissonSolver/2D-mpi/p.dat @@ -1,202 +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 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