<div dir="ltr"><div><div>Dear all,<br></div><div>I'm trying to solve a stokes flow with constant viscosity but with non-zero divergence prescribed in the rhs.<br><br></div><div>I have a matrix created from DMDA (mDa) of 4 dofs: vx, vy, vz and p respectively.<br>
I have another DMDA (mDaP) of same size but of 1 dof corresponding to only p.<br>I have assigned the null space for constant pressure inside the code. I have assigned two nullspace basis: One corresponding to vector created from mDa that is assigned to outer ksp. Second corresponding to vector created from mDaP that is assigned to a ksp obtained from the fieldsplit corresponding to the schur complement. <br>
<br>Now when running the code, the solver converges for up to certain size, e.g. 92X110 X 92 (the results for this convegent case with -ksp_view is given at the end of the emal.<br></div><div>But when I double the size of the grid in each dimension, it gives me a run-time error.<br>
<div><br>The options I've used are of the kind: <br>-pc_type fieldsplit
-pc_fieldsplit_type schur -pc_fieldsplit_dm_splits 0
-pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3
-fieldsplit_0_pc_type hypre -fieldsplit_0_ksp_converged_reason
-fieldsplit_1_ksp_converged_reason -ksp_converged_reason -ksp_view<br></div><div><br></div>Here are: <br></div><div>1. Error message when using hypre for fieldsplit_0<br></div><div>2. Error message when using gamg for fieldsplit_0<br>
</div><div>3. -ksp_view of the working case using hypre for filedsplit_0<br></div><br><div>I get following error when I use hypre :<br>1. ******************************************************************************************************<br>
[5]PETSC ERROR: --------------------- Error Message ------------------------------------<br>[5]PETSC ERROR: Signal received!<br>[5]PETSC ERROR: ------------------------------------------------------------------------<br>[5]PETSC ERROR: Petsc Release Version 3.4.3, Oct, 15, 2013 <br>
[5]PETSC ERROR: See docs/changes/index.html for recent updates.<br>[5]PETSC ERROR: See docs/faq.html for hints about trouble shooting.<br>[5]PETSC ERROR: See docs/index.html for manual pages.<br>[5]PETSC ERROR: ------------------------------------------------------------------------<br>
[5]PETSC ERROR: /epi/asclepios2/bkhanal/works/AdLemModel/build/src/AdLemMain on a arch-linux2-cxx-debug named nef001 by bkhanal Wed Oct 16 15:08:42 2013<br>[5]PETSC ERROR: Libraries linked from /epi/asclepios2/bkhanal/petscDebug/lib<br>
[5]PETSC ERROR: Configure run at Wed Oct 16 14:18:48 2013<br>[5]PETSC ERROR: Configure options --with-mpi-dir=/opt/openmpi-gcc/current/ --with-shared-libraries --prefix=/epi/asclepios2/bkhanal/petscDebug -download-f-blas-lapack=1 --download-metis --download-parmetis --download-superlu_dist --download-scalapack --download-mumps --download-hypre --with-clanguage=cxx<br>
[5]PETSC ERROR: ------------------------------------------------------------------------<br>[5]PETSC ERROR: User provided function() line 0 in unknown directory unknown file<br>[6]PETSC ERROR: ------------------------------------------------------------------------<br>
[6]PETSC ERROR: Caught signal number 15 Terminate: Somet process (or the batch system) has told this process to end<br>[6]PETSC ERROR: Try option -start_in_debugger or -on_error_attach_debugger<br>[6]PETSC ERROR: or see <a href="http://www.mcs.anl.gov/petsc/documentation/faq.html#valgrind[6]PETSC">http://www.mcs.anl.gov/petsc/documentation/faq.html#valgrind[6]PETSC</a> ERROR: or try <a href="http://valgrind.org">http://valgrind.org</a> on GNU/linux and Apple Mac OS X to find memory corruption errors<br>
[6]PETSC ERROR: likely location of problem given in stack below<br>[6]PETSC ERROR: --------------------- Stack Frames ------------------------------------<br>[6]PETSC ERROR: Note: The EXACT line numbers in the stack are not available,<br>
[6]PETSC ERROR: INSTEAD the line number of the start of the function<br>[6]PETSC ERROR: is given.<br>[6]PETSC ERROR: [6] HYPRE_SetupXXX line 130 /tmp/petsc-3.4.3/src/ksp/pc/impls/hypre/hypre.c<br>[6]PETSC ERROR: [6] PCSetUp_HYPRE line 94 /tmp/petsc-3.4.3/src/ksp/pc/impls/hypre/hypre.c<br>
[6]PETSC ERROR: [6] PCSetUp line 868 /tmp/petsc-3.4.3/src/ksp/pc/interface/precon.c<br>[6]PETSC ERROR: [6] KSPSetUp line 192 /tmp/petsc-3.4.3/src/ksp/ksp/interface/itfunc.c<br>[6]PETSC ERROR: [6] KSPSolve line 356 /tmp/petsc-3.4.3/src/ksp/ksp/interface/itfunc.c<br>
[6]PETSC ERROR: [6] MatMult_SchurComplement line 75 /tmp/petsc-3.4.3/src/ksp/ksp/utils/schurm.c<br>[6]PETSC ERROR: [6] MatNullSpaceTest line 408 /tmp/petsc-3.4.3/src/mat/interface/matnull.c<br>[6]PETSC ERROR: [6] solveModel line 113 "unknowndirectory/"/epi/asclepios2/bkhanal/works/AdLemModel/src/PetscAdLemTaras3D.cxx<br>
</div><div><br><br>2. ****************************************************************************************************<br></div><div>Using gamg instead has errors like following:<br><br>[5]PETSC ERROR: --------------------- Stack Frames ------------------------------------<br>
[5]PETSC ERROR: Note: The EXACT line numbers in the stack are not available,<br>[5]PETSC ERROR: INSTEAD the line number of the start of the function<br>[5]PETSC ERROR: is given.<br>[5]PETSC ERROR: [5] PetscLLCondensedAddSorted line 1202 /tmp/petsc-3.4.3/include/petsc-private/matimpl.h<br>
[5]PETSC ERROR: [5] MatPtAPSymbolic_MPIAIJ_MPIAIJ line 124 /tmp/petsc-3.4.3/src/mat/impls/aij/mpi/mpiptap.c<br>[5]PETSC ERROR: [5] MatPtAP_MPIAIJ_MPIAIJ line 80 /tmp/petsc-3.4.3/src/mat/impls/aij/mpi/mpiptap.c<br>[5]PETSC ERROR: [5] MatPtAP line 8223 /tmp/petsc-3.4.3/src/mat/interface/matrix.c<br>
[5]PETSC ERROR: [5] createLevel line 144 /tmp/petsc-3.4.3/src/ksp/pc/impls/gamg/gamg.c<br>[5]PETSC ERROR: [5] PCSetUp_GAMG line 545 /tmp/petsc-3.4.3/src/ksp/pc/impls/gamg/gamg.c<br>[5]PETSC ERROR: [5] PCSetUp line 868 /tmp/petsc-3.4.3/src/ksp/pc/interface/precon.c<br>
[5]PETSC ERROR: [5] KSPSetUp line 192 /tmp/petsc-3.4.3/src/ksp/ksp/interface/itfunc.c<br>[5]PETSC ERROR: [5] KSPSolve line 356 /tmp/petsc-3.4.3/src/ksp/ksp/interface/itfunc.c<br>[5]PETSC ERROR: [5] MatMult_SchurComplement line 75 /tmp/petsc-3.4.3/src/ksp/ksp/utils/schurm.c<br>
[5]PETSC ERROR: [5] MatNullSpaceTest line 408 /tmp/petsc-3.4.3/src/mat/interface/matnull.c<br>[5]PETSC ERROR: [5] solveModel line 113 "unknowndirectory/"/epi/asclepios2/bkhanal/works/AdLemModel/src/PetscAdLemTaras3D.cxx<br>
<br><br>3. ********************************************************************************************************<br></div><div><br></div><div>BUT, It does give me results when I use a domain of size: 91X109 X 91 (half sized in each dimension) The result along with ksp view in this case is as follows:<br>
</div><br>Linear solve converged due to CONVERGED_RTOL iterations 2<br>KSP Object: 64 MPI processes<br> type: gmres<br> GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement<br>
GMRES: happy breakdown tolerance 1e-30<br> maximum iterations=10000, initial guess is zero<br> tolerances: relative=1e-05, absolute=1e-50, divergence=10000<br> left preconditioning<br> has attached null space<br>
using PRECONDITIONED norm type for convergence test<br>PC Object: 64 MPI processes<br> type: fieldsplit<br> FieldSplit with Schur preconditioner, blocksize = 4, factorization FULL<br> Preconditioner for the Schur complement formed from user provided matrix<br>
Split info:<br> Split number 0 Fields 0, 1, 2<br> Split number 1 Fields 3<br> KSP solver for A00 block <br> KSP Object: (fieldsplit_0_) 64 MPI processes<br> type: gmres<br> GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement<br>
GMRES: happy breakdown tolerance 1e-30<br> maximum iterations=10000, initial guess is zero<br> tolerances: relative=1e-05, absolute=1e-50, divergence=10000<br> left preconditioning<br> using PRECONDITIONED norm type for convergence test<br>
PC Object: (fieldsplit_0_) 64 MPI processes<br> type: hypre<br> HYPRE BoomerAMG preconditioning<br> HYPRE BoomerAMG: Cycle type V<br> HYPRE BoomerAMG: Maximum number of levels 25<br>
HYPRE BoomerAMG: Maximum number of iterations PER hypre call 1<br> HYPRE BoomerAMG: Convergence tolerance PER hypre call 0<br> HYPRE BoomerAMG: Threshold for strong coupling 0.25<br> HYPRE BoomerAMG: Interpolation truncation factor 0<br>
HYPRE BoomerAMG: Interpolation: max elements per row 0<br> HYPRE BoomerAMG: Number of levels of aggressive coarsening 0<br> HYPRE BoomerAMG: Number of paths for aggressive coarsening 1<br> HYPRE BoomerAMG: Maximum row sums 0.9<br>
HYPRE BoomerAMG: Sweeps down 1<br> HYPRE BoomerAMG: Sweeps up 1<br> HYPRE BoomerAMG: Sweeps on coarse 1<br> HYPRE BoomerAMG: Relax down symmetric-SOR/Jacobi<br>
HYPRE BoomerAMG: Relax up symmetric-SOR/Jacobi<br> HYPRE BoomerAMG: Relax on coarse Gaussian-elimination<br> HYPRE BoomerAMG: Relax weight (all) 1<br> HYPRE BoomerAMG: Outer relax weight (all) 1<br>
HYPRE BoomerAMG: Using CF-relaxation<br> HYPRE BoomerAMG: Measure type local<br> HYPRE BoomerAMG: Coarsen type Falgout<br> HYPRE BoomerAMG: Interpolation type classical<br>
linear system matrix = precond matrix:<br> Matrix Object: 64 MPI processes<br> type: mpiaij<br> rows=2793120, cols=2793120<br> total: nonzeros=221624352, allocated nonzeros=221624352<br>
total number of mallocs used during MatSetValues calls =0<br> using I-node (on process 0) routines: found 14812 nodes, limit used is 5<br> KSP solver for S = A11 - A10 inv(A00) A01 <br> KSP Object: (fieldsplit_1_) 64 MPI processes<br>
type: gmres<br> GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement<br> GMRES: happy breakdown tolerance 1e-30<br> maximum iterations=10000, initial guess is zero<br>
tolerances: relative=1e-05, absolute=1e-50, divergence=10000<br> left preconditioning<br> has attached null space<br> using PRECONDITIONED norm type for convergence test<br> PC Object: (fieldsplit_1_) 64 MPI processes<br>
type: bjacobi<br> block Jacobi: number of blocks = 64<br> Local solve is same for all blocks, in the following KSP and PC objects:<br> KSP Object: (fieldsplit_1_sub_) 1 MPI processes<br>
type: preonly<br> maximum iterations=10000, initial guess is zero<br> tolerances: relative=1e-05, absolute=1e-50, divergence=10000<br> left preconditioning<br> using NONE norm type for convergence test<br>
PC Object: (fieldsplit_1_sub_) 1 MPI processes<br> type: ilu<br> ILU: out-of-place factorization<br> 0 levels of fill<br> tolerance for zero pivot 2.22045e-14<br>
using diagonal shift on blocks to prevent zero pivot [INBLOCKS]<br> matrix ordering: natural<br> factor fill ratio given 1, needed 1<br> Factored matrix follows:<br> Matrix Object: 1 MPI processes<br>
type: seqaij<br> rows=14812, cols=14812<br> package used to perform factorization: petsc<br> total: nonzeros=368098, allocated nonzeros=368098<br> total number of mallocs used during MatSetValues calls =0<br>
not using I-node routines<br> linear system matrix = precond matrix:<br> Matrix Object: 1 MPI processes<br> type: seqaij<br> rows=14812, cols=14812<br>
total: nonzeros=368098, allocated nonzeros=368098<br> total number of mallocs used during MatSetValues calls =0<br> not using I-node routines<br><br> linear system matrix followed by preconditioner matrix:<br>
Matrix Object: 64 MPI processes<br> type: schurcomplement<br> rows=931040, cols=931040<br> Schur complement A11 - A10 inv(A00) A01<br> A11<br> Matrix Object: 64 MPI processes<br>
type: mpiaij<br> rows=931040, cols=931040<br> total: nonzeros=24624928, allocated nonzeros=24624928<br> total number of mallocs used during MatSetValues calls =0<br>
not using I-node (on process 0) routines<br> A10<br> Matrix Object: 64 MPI processes<br> type: mpiaij<br> rows=931040, cols=2793120<br>
total: nonzeros=73874784, allocated nonzeros=73874784<br> total number of mallocs used during MatSetValues calls =0<br> not using I-node (on process 0) routines<br> KSP of A00<br>
KSP Object: (fieldsplit_0_) 64 MPI processes<br> type: gmres<br> GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement<br>
GMRES: happy breakdown tolerance 1e-30<br> maximum iterations=10000, initial guess is zero<br> tolerances: relative=1e-05, absolute=1e-50, divergence=10000<br> left preconditioning<br>
using PRECONDITIONED norm type for convergence test<br> PC Object: (fieldsplit_0_) 64 MPI processes<br> type: hypre<br> HYPRE BoomerAMG preconditioning<br>
HYPRE BoomerAMG: Cycle type V<br> HYPRE BoomerAMG: Maximum number of levels 25<br> HYPRE BoomerAMG: Maximum number of iterations PER hypre call 1<br> HYPRE BoomerAMG: Convergence tolerance PER hypre call 0<br>
HYPRE BoomerAMG: Threshold for strong coupling 0.25<br> HYPRE BoomerAMG: Interpolation truncation factor 0<br> HYPRE BoomerAMG: Interpolation: max elements per row 0<br>
HYPRE BoomerAMG: Number of levels of aggressive coarsening 0<br> HYPRE BoomerAMG: Number of paths for aggressive coarsening 1<br> HYPRE BoomerAMG: Maximum row sums 0.9<br>
HYPRE BoomerAMG: Sweeps down 1<br> HYPRE BoomerAMG: Sweeps up 1<br> HYPRE BoomerAMG: Sweeps on coarse 1<br> HYPRE BoomerAMG: Relax down symmetric-SOR/Jacobi<br>
HYPRE BoomerAMG: Relax up symmetric-SOR/Jacobi<br> HYPRE BoomerAMG: Relax on coarse Gaussian-elimination<br> HYPRE BoomerAMG: Relax weight (all) 1<br>
HYPRE BoomerAMG: Outer relax weight (all) 1<br> HYPRE BoomerAMG: Using CF-relaxation<br> HYPRE BoomerAMG: Measure type local<br> HYPRE BoomerAMG: Coarsen type Falgout<br>
HYPRE BoomerAMG: Interpolation type classical<br> linear system matrix = precond matrix:<br> Matrix Object: 64 MPI processes<br> type: mpiaij<br>
rows=2793120, cols=2793120<br> total: nonzeros=221624352, allocated nonzeros=221624352<br> total number of mallocs used during MatSetValues calls =0<br> using I-node (on process 0) routines: found 14812 nodes, limit used is 5<br>
A01<br> Matrix Object: 64 MPI processes<br> type: mpiaij<br> rows=2793120, cols=931040<br> total: nonzeros=73874784, allocated nonzeros=73874784<br>
total number of mallocs used during MatSetValues calls =0<br> using I-node (on process 0) routines: found 14812 nodes, limit used is 5<br> Matrix Object: 64 MPI processes<br>
type: mpiaij<br> rows=931040, cols=931040<br> total: nonzeros=24624928, allocated nonzeros=24624928<br> total number of mallocs used during MatSetValues calls =0<br> not using I-node (on process 0) routines<br>
linear system matrix = precond matrix:<br> Matrix Object: 64 MPI processes<br> type: mpiaij<br> rows=3724160, cols=3724160, bs=4<br> total: nonzeros=393998848, allocated nonzeros=393998848<br> total number of mallocs used during MatSetValues calls =0<br>
<br>******************************************************************************************************<br></div>What could be going wrong here ? Is it something related to null-space setting ? But I do not know why it does not arise for smaller domain sizes!<br>
</div>