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initProgress(solver.te); + void (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; + + double tau = solver.tau; double te = solver.te; double t = 0.0; S = getTimeStamp(); - switch (variant) { - case SOR: - printf("Plain SOR\n"); - while (t <= te) { + + while (t <= te) + { if (tau > 0.0) { computeTimestep(&solver); } @@ -64,49 +66,9 @@ int main (int argc, char** argv) setSpecialBoundaryCondition(&solver); computeFG(&solver); computeRHS(&solver); - solve(&solver); + (*solver_generic[variant - 1])(&solver); adaptUV(&solver); t += solver.dt; - } - - 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; - } - - 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; - } - - break; - } - #ifdef VERBOSE if (rank == 0) { printf("TIME %f , TIMESTEP %f\n", t, solver.dt); @@ -114,6 +76,7 @@ int main (int argc, char** argv) #else printProgress(t); #endif + } E = getTimeStamp(); diff --git a/BasicSolver/2D-mpi-v1/velocity.dat b/BasicSolver/2D-mpi-v1/velocity.dat index 4abbec8..ea7342b 100644 --- a/BasicSolver/2D-mpi-v1/velocity.dat +++ b/BasicSolver/2D-mpi-v1/velocity.dat @@ -1,10000 +1,10000 @@ -0.07 0.04 0.151102 0.011403 0.151532 -0.22 0.04 0.145009 0.006429 0.145152 -0.38 0.04 0.138507 0.003594 0.138553 -0.53 0.04 0.133495 0.002213 0.133513 -0.67 0.04 0.129848 0.001511 0.129857 -0.82 0.04 0.127133 0.001115 0.127138 -0.97 0.04 0.125029 0.000869 0.125032 -1.12 0.04 0.123341 0.000702 0.123343 -1.27 0.04 0.121949 0.000581 0.121951 -1.43 0.04 0.120780 0.000490 0.120781 -1.57 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te = solver.te; double t = 0.0; + + int (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; S = getTimeStamp(); - switch (variant) { - case SOR: - printf("Plain SOR\n"); - while (t <= te) { + + while (t <= te) { if (tau > 0.0) { computeTimestep(&solver); } @@ -66,48 +66,9 @@ int main (int argc, char** argv) setSpecialBoundaryCondition(&solver); computeFG(&solver); computeRHS(&solver); - solve(&solver); + (*solver_generic[variant - 1])(&solver); adaptUV(&solver); t += solver.dt; - } - - 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; - } - - 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; - } - - break; - } - #ifdef VERBOSE if (rank == 0) { printf("TIME %f , TIMESTEP %f\n", t, solver.dt); @@ -115,6 +76,8 @@ int main (int argc, char** argv) #else printProgress(t); #endif + } + E = getTimeStamp(); stopProgress(); diff --git a/BasicSolver/2D-mpi-v2/velocity.dat b/BasicSolver/2D-mpi-v2/velocity.dat index 668a58a..28ff0b4 100644 --- a/BasicSolver/2D-mpi-v2/velocity.dat +++ b/BasicSolver/2D-mpi-v2/velocity.dat @@ -1,9751 +1,9801 @@ -0.07 0.04 0.153103 0.003819 0.153151 -0.22 0.04 0.151587 0.001309 0.151592 -0.38 0.04 0.151183 0.000140 0.151183 -0.53 0.04 0.151824 -0.000425 0.151825 -0.67 0.04 0.153087 -0.000672 0.153088 -0.82 0.04 0.154648 -0.000765 0.154650 -0.97 0.04 0.156319 -0.000784 0.156321 -1.12 0.04 0.157997 -0.000766 0.157998 -1.27 0.04 0.159620 -0.000726 0.159621 -1.43 0.04 0.161155 -0.000675 0.161156 -1.57 0.04 0.162582 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-52,11 +52,14 @@ int main (int argc, char** argv) double te = solver.te; double t = 0.0; + int (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; + + S = getTimeStamp(); - switch (variant) { - case SOR: - printf("Plain SOR\n"); - while (t <= te) { + + + while (t <= te) + { if (tau > 0.0) { computeTimestep(&solver); } @@ -65,47 +68,10 @@ int main (int argc, char** argv) setSpecialBoundaryCondition(&solver); computeFG(&solver); computeRHS(&solver); - solve(&solver); + (*solver_generic[variant - 1])(&solver); adaptUV(&solver); t += solver.dt; - } - - 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; - } - - 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; - } - - break; - } + #ifdef VERBOSE if (rank == 0) { @@ -114,6 +80,7 @@ int main (int argc, char** argv) #else printProgress(t); #endif + } E = getTimeStamp(); stopProgress(); diff --git a/BasicSolver/2D-mpi-v3/velocity.dat b/BasicSolver/2D-mpi-v3/velocity.dat index 668a58a..9d426c6 100644 --- a/BasicSolver/2D-mpi-v3/velocity.dat +++ b/BasicSolver/2D-mpi-v3/velocity.dat @@ -1,9751 +1,9801 @@ -0.07 0.04 0.153103 0.003819 0.153151 -0.22 0.04 0.151587 0.001309 0.151592 -0.38 0.04 0.151183 0.000140 0.151183 -0.53 0.04 0.151824 -0.000425 0.151825 -0.67 0.04 0.153087 -0.000672 0.153088 -0.82 0.04 0.154648 -0.000765 0.154650 -0.97 0.04 0.156319 -0.000784 0.156321 -1.12 0.04 0.157997 -0.000766 0.157998 -1.27 0.04 0.159620 -0.000726 0.159621 -1.43 0.04 0.161155 -0.000675 0.161156 -1.57 0.04 0.162582 -0.000618 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RB; double S, E; Parameter params; @@ -49,76 +49,29 @@ int main (int argc, char** argv) double t = 0.0; int nt = 0; + void (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; + S = getTimeStamp(); - - 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; + while (t <= te) + { + if (tau > 0.0) computeTimestep(&solver); + setBoundaryConditions(&solver); + setSpecialBoundaryCondition(&solver); + computeFG(&solver); + computeRHS(&solver); + if (nt % 100 == 0) normalizePressure(&solver); + (*solver_generic[variant - 1])(&solver); + adaptUV(&solver); + t += solver.dt; + nt++; + + #ifdef VERBOSE + printf("TIME %f , TIMESTEP %f\n", t, solver.dt); + #else + printProgress(t); + #endif + } E = getTimeStamp(); diff --git a/BasicSolver/2D-seq/velocity.dat b/BasicSolver/2D-seq/velocity.dat index fe85e91..1a3b468 100644 --- a/BasicSolver/2D-seq/velocity.dat +++ b/BasicSolver/2D-seq/velocity.dat @@ -24,7 +24,7 @@ 0.59 0.01 -0.008094 -0.000200 0.008096 0.61 0.01 -0.007642 -0.000251 0.007647 0.64 0.01 -0.007095 -0.000297 0.007101 -0.66 0.01 -0.006463 -0.000335 0.006471 +0.66 0.01 -0.006463 -0.000335 0.006472 0.69 0.01 -0.005762 -0.000365 0.005774 0.71 0.01 -0.005011 -0.000386 0.005026 0.74 0.01 -0.004229 -0.000396 0.004248 @@ -76,7 +76,7 @@ 0.89 0.04 -0.001666 -0.000909 0.001898 0.91 0.04 -0.000758 -0.000580 0.000954 0.94 0.04 -0.000202 -0.000248 0.000320 -0.96 0.04 0.000029 0.000027 0.000039 +0.96 0.04 0.000029 0.000026 0.000039 0.99 0.04 0.000035 0.000132 0.000136 0.01 0.06 -0.000034 -0.000123 0.000127 0.04 0.06 -0.000273 0.000256 0.000374 @@ -268,7 +268,7 @@ 0.69 0.16 -0.061532 -0.022524 0.065525 0.71 0.16 -0.055295 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0.189784 0.44 0.44 -0.183191 0.049483 0.189756 -0.46 0.44 -0.187155 0.031606 0.189805 +0.46 0.44 -0.187155 0.031605 0.189805 0.49 0.44 -0.189584 0.013174 0.190041 0.51 0.44 -0.190442 -0.005565 0.190523 0.54 0.44 -0.189701 -0.024360 0.191258 @@ -763,7 +763,7 @@ 0.06 0.49 -0.013496 0.088857 0.089876 0.09 0.49 -0.024333 0.115469 0.118005 0.11 0.49 -0.037314 0.136818 0.141815 -0.14 0.49 -0.051761 0.152957 0.161477 +0.14 0.49 -0.051761 0.152956 0.161477 0.16 0.49 -0.067064 0.164072 0.177249 0.19 0.49 -0.082692 0.170453 0.189452 0.21 0.49 -0.098201 0.172458 0.198457 @@ -797,7 +797,7 @@ 0.91 0.49 -0.027263 -0.120196 0.123249 0.94 0.49 -0.015090 -0.091937 0.093167 0.96 0.49 -0.006161 -0.058588 0.058911 -0.99 0.49 -0.001306 -0.020753 0.020794 +0.99 0.49 -0.001307 -0.020753 0.020794 0.01 0.51 -0.001267 0.022927 0.022962 0.04 0.51 -0.005931 0.063665 0.063941 0.06 0.51 -0.014434 0.098757 0.099806 @@ -818,7 +818,7 @@ 0.44 0.51 -0.197267 0.063695 0.207295 0.46 0.51 -0.201225 0.041450 0.205450 0.49 0.51 -0.203822 0.018572 0.204666 -0.51 0.51 -0.205038 -0.004702 0.205092 +0.51 0.51 -0.205038 -0.004703 0.205092 0.54 0.51 -0.204841 -0.028133 0.206764 0.56 0.51 -0.203186 -0.051464 0.209603 0.59 0.51 -0.200018 -0.074415 0.213412 @@ -930,7 +930,7 @@ 0.24 0.59 -0.127806 0.228465 0.261784 0.26 0.59 -0.140687 0.218257 0.259671 0.29 0.59 -0.152059 0.204463 0.254808 -0.31 0.59 -0.161946 0.187726 0.247927 +0.31 0.59 -0.161947 0.187726 0.247927 0.34 0.59 -0.170423 0.168596 0.239726 0.36 0.59 -0.177595 0.147530 0.230879 0.39 0.59 -0.183579 0.124907 0.222043 @@ -1022,7 +1022,7 @@ 0.54 0.64 -0.176772 -0.028584 0.179068 0.56 0.64 -0.177447 -0.056962 0.186366 0.59 0.64 -0.177740 -0.085477 0.197226 -0.61 0.64 -0.177485 -0.113961 0.210922 +0.61 0.64 -0.177485 -0.113961 0.210921 0.64 0.64 -0.176458 -0.142170 0.226604 0.66 0.64 -0.174383 -0.169764 0.243370 0.69 0.64 -0.170939 -0.196274 0.260276 @@ -1058,7 +1058,7 @@ 0.44 0.66 -0.153866 0.082763 0.174713 0.46 0.66 -0.154549 0.055784 0.164308 0.49 0.66 -0.155334 0.028385 0.157906 -0.51 0.66 -0.156288 0.000597 0.156290 +0.51 0.66 -0.156288 0.000597 0.156289 0.54 0.66 -0.157423 -0.027557 0.159817 0.56 0.66 -0.158690 -0.056046 0.168296 0.59 0.66 -0.159981 -0.084810 0.181071 @@ -1125,7 +1125,7 @@ 0.11 0.71 -0.064931 0.286424 0.293692 0.14 0.71 -0.081730 0.303029 0.313857 0.16 0.71 -0.095581 0.307708 0.322211 -0.19 0.71 -0.106003 0.303115 0.321115 +0.19 0.71 -0.106002 0.303115 0.321115 0.21 0.71 -0.113003 0.291579 0.312711 0.24 0.71 -0.116908 0.275028 0.298844 0.26 0.71 -0.118215 0.254982 0.281053 @@ -1186,7 +1186,7 @@ 0.64 0.74 -0.077679 -0.130864 0.152182 0.66 0.74 -0.085621 -0.160050 0.181513 0.69 0.74 -0.093957 -0.189964 0.211930 -0.71 0.74 -0.102094 -0.220307 0.242814 +0.71 0.74 -0.102095 -0.220307 0.242814 0.74 0.74 -0.109290 -0.250517 0.273319 0.76 0.74 -0.114650 -0.279666 0.302255 0.79 0.74 -0.117166 -0.306352 0.327993 @@ -1486,7 +1486,7 @@ 0.14 0.94 0.236018 0.149848 0.279569 0.16 0.94 0.308503 0.117843 0.330244 0.19 0.94 0.370556 0.093841 0.382253 -0.21 0.94 0.422981 0.075644 0.429691 +0.21 0.94 0.422980 0.075644 0.429691 0.24 0.94 0.467064 0.061599 0.471109 0.26 0.94 0.504083 0.050535 0.506610 0.29 0.94 0.535145 0.041634 0.536762 diff --git a/BasicSolver/3D-mpi-io/canal.par b/BasicSolver/3D-mpi-io/canal.par index 3ff4a5f..4559098 100644 --- a/BasicSolver/3D-mpi-io/canal.par +++ b/BasicSolver/3D-mpi-io/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 0.9 # upwind differencing factor gamma #=============================================================================== diff --git a/BasicSolver/3D-mpi-io/config.mk b/BasicSolver/3D-mpi-io/config.mk index 88fec3f..af5f1a0 100644 --- a/BasicSolver/3D-mpi-io/config.mk +++ b/BasicSolver/3D-mpi-io/config.mk @@ -1,5 +1,5 @@ # Supported: GCC, CLANG, ICC -TAG ?= ICC +TAG ?= CLANG ENABLE_OPENMP ?= false #Feature options diff --git a/BasicSolver/3D-mpi-io/dcavity-p4.vtk b/BasicSolver/3D-mpi-io/dcavity-p4.vtk new file mode 100644 index 0000000..225c360 Binary files /dev/null and b/BasicSolver/3D-mpi-io/dcavity-p4.vtk differ diff --git a/BasicSolver/3D-mpi-io/dcavity.par b/BasicSolver/3D-mpi-io/dcavity.par index c5cb201..5d80533 100644 --- a/BasicSolver/3D-mpi-io/dcavity.par +++ b/BasicSolver/3D-mpi-io/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-io/src/main.c b/BasicSolver/3D-mpi-io/src/main.c index 17fc72f..a500d09 100644 --- a/BasicSolver/3D-mpi-io/src/main.c +++ b/BasicSolver/3D-mpi-io/src/main.c @@ -19,9 +19,15 @@ #include "timing.h" #include "vtkWriter.h" +enum VARIANT { SOR = 1, RB, RBA }; + + int main(int argc, char** argv) { + + int variant = RB; int rank; + double timeStart, timeStop; Parameter params; Solver solver; @@ -30,12 +36,21 @@ 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]); + } + + void (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; + + if (commIsMaster(&solver.comm)) { printParameter(¶ms); } @@ -57,7 +72,7 @@ int main(int argc, char** argv) computeFG(&solver); computeRHS(&solver); // if (nt % 100 == 0) normalizePressure(&solver); - solve(&solver); + (*solver_generic[variant - 1])(&solver); adaptUV(&solver); t += solver.dt; nt++; diff --git a/BasicSolver/3D-mpi-io/src/parameter.c b/BasicSolver/3D-mpi-io/src/parameter.c index d4ea5b6..88c65dc 100644 --- a/BasicSolver/3D-mpi-io/src/parameter.c +++ b/BasicSolver/3D-mpi-io/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 +87,8 @@ 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-io/src/parameter.h b/BasicSolver/3D-mpi-io/src/parameter.h index 6dddf5f..5290a26 100644 --- a/BasicSolver/3D-mpi-io/src/parameter.h +++ b/BasicSolver/3D-mpi-io/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-io/src/solver.c b/BasicSolver/3D-mpi-io/src/solver.c index 2a49504..525ab72 100644 --- a/BasicSolver/3D-mpi-io/src/solver.c +++ b/BasicSolver/3D-mpi-io/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 */ @@ -288,6 +290,267 @@ void solve(Solver* s) #endif } +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 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; + int it = 0; + double res = 1.0; + double rho = s->rho; + double omega = 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) -= (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-io/src/solver.h b/BasicSolver/3D-mpi-io/src/solver.h index ac9f450..12d855d 100644 --- a/BasicSolver/3D-mpi-io/src/solver.h +++ b/BasicSolver/3D-mpi-io/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-mpi/src/main.c b/BasicSolver/3D-mpi/src/main.c index ab73da5..23c83bd 100644 --- a/BasicSolver/3D-mpi/src/main.c +++ b/BasicSolver/3D-mpi/src/main.c @@ -24,7 +24,7 @@ enum VARIANT { SOR = 1, RB, RBA }; int main(int argc, char** argv) { int rank; - int variant = SOR; + int variant = RB; double timeStart, timeStop; Parameter params; @@ -57,60 +57,22 @@ int main(int argc, char** argv) double t = 0.0; int nt = 0; + + void (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; + timeStart = getTimeStamp(); - switch (variant) { - case SOR: - printf("Plain SOR\n"); - while (t <= te) { + 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); + (*solver_generic[variant - 1])(&solver); 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 (rank == 0) { @@ -119,6 +81,9 @@ int main(int argc, char** argv) #else printProgress(t); #endif + } + + timeStop = getTimeStamp(); stopProgress(); diff --git a/BasicSolver/3D-mpi/src/solver.c b/BasicSolver/3D-mpi/src/solver.c index 181c73e..ebc4792 100644 --- a/BasicSolver/3D-mpi/src/solver.c +++ b/BasicSolver/3D-mpi/src/solver.c @@ -449,7 +449,6 @@ void solveRBA(Solver* s) int it = 0; double res = 1.0; int pass, ksw, jsw, isw; - commExchange(&s->comm, p); while ((res >= epssq) && (it < itermax)) { res = 0.0; diff --git a/BasicSolver/3D-seq/src/main.c b/BasicSolver/3D-seq/src/main.c index 0d77840..b1806d7 100644 --- a/BasicSolver/3D-seq/src/main.c +++ b/BasicSolver/3D-seq/src/main.c @@ -71,7 +71,7 @@ static void createBulkArrays(Solver* s, double* pg, double* ug, double* vg, doub int main(int argc, char** argv) { int rank; - int variant = SOR; + int variant = RB; double timeStart, timeStop; Parameter params; @@ -100,53 +100,18 @@ int main(int argc, char** argv) timeStart = getTimeStamp(); - switch (variant) { - case SOR: - printf("Plain SOR\n"); - while (t <= te) { + void (*solver_generic[])(solver) = {solve, solveRB, solveRBA}; + + while (t <= te) { if (tau > 0.0) computeTimestep(&s); setBoundaryConditions(&s); setSpecialBoundaryCondition(&s); computeFG(&s); computeRHS(&s); - solve(&s); + (*solver_generic[variant - 1])(&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); - computeFG(&s); - computeRHS(&s); - 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 if (rank == 0) { printf("TIME %f , TIMESTEP %f\n", t, s.dt); @@ -154,7 +119,7 @@ int main(int argc, char** argv) #else printProgress(t); #endif - + } timeStop = getTimeStamp(); #ifndef VERBOSE stopProgress(); diff --git a/PoissonSolver/2D-seq/p.dat b/PoissonSolver/2D-seq/p.dat index 9960c0c..438efed 100644 --- a/PoissonSolver/2D-seq/p.dat +++ b/PoissonSolver/2D-seq/p.dat @@ -1,202 +1,302 @@ -0.000000 -0.055925 -0.055924 -0.055922 -0.055917 -0.055909 -0.055897 -0.055881 -0.055859 -0.055831 -0.055796 -0.055753 -0.055702 -0.055641 -0.055571 -0.055490 -0.055397 -0.055293 -0.055176 -0.055045 -0.054900 -0.054741 -0.054567 -0.054376 -0.054169 -0.053945 -0.053703 -0.053443 -0.053164 -0.052866 -0.052548 -0.052210 -0.051851 -0.051471 -0.051069 -0.050646 -0.050201 -0.049732 -0.049241 -0.048727 -0.048189 -0.047627 -0.047041 -0.046431 -0.045797 -0.045138 -0.044455 -0.043746 -0.043013 -0.042255 -0.041472 -0.040663 -0.039830 -0.038972 -0.038089 -0.037181 -0.036249 -0.035292 -0.034310 -0.033304 -0.032275 -0.031221 -0.030144 -0.029044 -0.027921 -0.026775 -0.025607 -0.024417 -0.023205 -0.021973 -0.020719 -0.019446 -0.018153 -0.016840 -0.015509 -0.014159 -0.012792 -0.011408 -0.010007 -0.008590 -0.007158 -0.005711 -0.004250 -0.002776 -0.001289 0.000210 0.001720 0.003241 0.004772 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0.039627 0.039635 0.039642 0.039647 0.039650 0.039652 0.039654 0.039654 0.039655 0.039655 0.083751 diff --git a/PoissonSolver/2D-seq/poisson.par b/PoissonSolver/2D-seq/poisson.par index cbda8a2..003853c 100644 --- a/PoissonSolver/2D-seq/poisson.par +++ b/PoissonSolver/2D-seq/poisson.par @@ -8,15 +8,15 @@ name poisson xlength 1.0 # domain size in x-direction ylength 1.0 # domain size in y-direction -imax 200 # number of interior cells in x-direction -jmax 200 # number of interior cells in y-direction +imax 300 # number of interior cells in x-direction +jmax 300 # number of interior cells in y-direction # Pressure Iteration Data: # ----------------------- itermax 10000 # maximal number of pressure iteration in one time step eps 0.000001 # stopping tolerance for pressure iteration -rho 0.99999 # relaxation parameter for SOR iteration -omg 1.998 # relaxation parameter for SOR iteration +rho 0.99999 # relaxation parameter for SOR iteration +omg 1.991 # relaxation parameter for SOR iteration #=============================================================================== diff --git a/PoissonSolver/2D-seq/src/main.c b/PoissonSolver/2D-seq/src/main.c index eb6a71b..9e276e4 100644 --- a/PoissonSolver/2D-seq/src/main.c +++ b/PoissonSolver/2D-seq/src/main.c @@ -26,7 +26,7 @@ enum VARIANT { SOR = 1, RB, RBA }; int main(int argc, char** argv) { - int variant = SOR; + int variant = RB; double startTime, endTime; Parameter params; Solver solver; @@ -39,27 +39,30 @@ int main(int argc, char** argv) } readParameter(¶ms, argv[1]); - printParameter(¶ms); + //printParameter(¶ms); + + + + initSolver(&solver, ¶ms, 2); if (argc == 3) { variant = atoi(argv[2]); } - - initSolver(&solver, ¶ms, 2); + switch (variant) { case SOR: - printf("Plain SOR\n"); + //printf("Plain SOR\n"); LIKWID_PROFILE("SOR", solve); break; case RB: - printf("Red-black SOR\n"); + //printf("Red-black SOR\n"); LIKWID_PROFILE("RB", solveRB); break; case RBA: - printf("Red-black SOR with acceleration\n"); + //printf("Red-black SOR with acceleration\n"); LIKWID_PROFILE("RBA", solveRBA); break; } - printf("Solution took %.2fs\n", endTime - startTime); + //printf("Solution took %.2fs\n", endTime - startTime); writeResult(&solver); LIKWID_MARKER_CLOSE; diff --git a/PoissonSolver/2D-seq/src/solver.c b/PoissonSolver/2D-seq/src/solver.c index 14e89dd..c5e61d3 100644 --- a/PoissonSolver/2D-seq/src/solver.c +++ b/PoissonSolver/2D-seq/src/solver.c @@ -108,7 +108,8 @@ void solve(Solver* solver) it++; } - printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + //printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + printf("%d, %f\n", it, solver->omega); } void solveRB(Solver* solver) @@ -168,7 +169,8 @@ void solveRB(Solver* solver) it++; } - printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + //printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + printf("%d, %f\n", it, solver->omega); } void solveRBA(Solver* solver) @@ -232,8 +234,9 @@ void solveRBA(Solver* solver) it++; } - printf("Final omega: %f\n", omega); - printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + //printf("Final omega: %f\n", omega); + //printf("Solver took %d iterations to reach %f\n", it, sqrt(res)); + printf("%d, %f\n", it, omega); } void writeResult(Solver* solver)