These are indefinite (bad) Helmholtz problems. Right? On Wed, Oct 31, 2018 at 2:38 PM Matthew Knepley <knep...@gmail.com> wrote:
> On Wed, Oct 31, 2018 at 2:13 PM Thibaut Appel <t.appe...@imperial.ac.uk> > wrote: > >> Hi Mark, Matthew, >> >> Thanks for taking the time. >> >> 1) You're not suggesting having -fieldsplit_X_ksp_type *f*gmres for each >> field, are you? >> >> 2) No, the matrix *has* pressure in one of the fields. Here it's a 2D >> problem (but we're also doing 3D), the unknowns are (p,u,v) and those are >> my 3 fields. We are dealing with subsonic/transsonic flows so it is >> convection dominated indeed. >> >> 3) We are in frequency domain with respect to time, i.e. >> \partial{phi}/\partial{t} = -i*omega*phi. >> >> 4) Hypre is unfortunately not an option since we are in complex >> arithmetic. >> >> >> I'm not sure about "-fieldsplit_pc_type gamg" GAMG should work on one >> block, and hence be a subpc. I'm not up on fieldsplit syntax. >> >> According to the online manual page this syntax applies the suffix to all >> the defined fields? >> >> >> Mark is correct. I wanted you to change the smoother. He shows how to >> change it to Richardson (make sure you add the self-scale option), which is >> probably the best choice. >> >> Thanks, >> >> Matt >> >> You did tell me to set it to GMRES if I'm not mistaken, that's why I >> tried "-fieldsplit_mg_levels_ksp_type gmres" (mentioned in the email). >> Also, it wasn't clear whether these should be applied to each block or the >> whole system, as the online manual pages + .pdf manual barely mention >> smoothers and how to manipulate MG objects with KSP/PC, this especially >> with PCFIELDSPLIT where examples are scarce. >> >> From what I can gather from your suggestions I tried (lines with X are >> repeated for X={0,1,2}) >> >> This looks good. How can an identically zero vector produce a 0 residual? > You should always monitor with > > -ksp_monitor_true_residual. > > Thanks, > > Matt > >> -ksp_view_pre -ksp_monitor -ksp_converged_reason \ >> -ksp_type fgmres -ksp_rtol 1.0e-8 \ >> -pc_type fieldsplit \ >> -pc_fieldsplit_type multiplicative \ >> -pc_fieldsplit_block_size 3 \ >> -pc_fieldsplit_0_fields 0 \ >> -pc_fieldsplit_1_fields 1 \ >> -pc_fieldsplit_2_fields 2 \ >> -fieldsplit_X_pc_type gamg \ >> -fieldsplit_X_ksp_type gmres \ >> -fieldsplit_X_ksp_rtol 1e-10 \ >> -fieldsplit_X_mg_levels_ksp_type richardson \ >> -fieldsplit_X_mg_levels_pc_type sor \ >> -fieldsplit_X_pc_gamg_agg_nsmooths 0 \ >> -fieldsplit_X_mg_levels_ksp_richardson_self_scale \ >> -log_view >> >> which yields >> >> KSP Object: 1 MPI processes >> type: fgmres >> restart=30, using Classical (unmodified) Gram-Schmidt >> Orthogonalization with no iterative refinement >> happy breakdown tolerance 1e-30 >> maximum iterations=10000, initial guess is zero >> tolerances: relative=1e-08, absolute=1e-50, divergence=10000. >> left preconditioning >> using DEFAULT norm type for convergence test >> PC Object: 1 MPI processes >> type: fieldsplit >> PC has not been set up so information may be incomplete >> FieldSplit with MULTIPLICATIVE composition: total splits = 3, >> blocksize = 3 >> Solver info for each split is in the following KSP objects: >> Split number 0 Fields 0 >> KSP Object: (fieldsplit_0_) 1 MPI processes >> type: preonly >> maximum iterations=10000, initial guess is zero >> tolerances: relative=1e-05, absolute=1e-50, divergence=10000. >> left preconditioning >> using DEFAULT norm type for convergence test >> PC Object: (fieldsplit_0_) 1 MPI processes >> type not yet set >> PC has not been set up so information may be incomplete >> Split number 1 Fields 1 >> KSP Object: (fieldsplit_1_) 1 MPI processes >> type: preonly >> maximum iterations=10000, initial guess is zero >> tolerances: relative=1e-05, absolute=1e-50, divergence=10000. >> left preconditioning >> using DEFAULT norm type for convergence test >> PC Object: (fieldsplit_1_) 1 MPI processes >> type not yet set >> PC has not been set up so information may be incomplete >> Split number 2 Fields 2 >> KSP Object: (fieldsplit_2_) 1 MPI processes >> type: preonly >> maximum iterations=10000, initial guess is zero >> tolerances: relative=1e-05, absolute=1e-50, divergence=10000. >> left preconditioning >> using DEFAULT norm type for convergence test >> PC Object: (fieldsplit_2_) 1 MPI processes >> type not yet set >> PC has not been set up so information may be incomplete >> linear system matrix = precond matrix: >> Mat Object: 1 MPI processes >> type: seqaij >> rows=52500, cols=52500 >> total: nonzeros=1127079, allocated nonzeros=1128624 >> total number of mallocs used during MatSetValues calls =0 >> not using I-node routines >> 0 KSP Residual norm 3.583290589961e+00 >> 1 KSP Residual norm 0.000000000000e+00 >> Linear solve converged due to CONVERGED_ATOL iterations 1 >> >> so something must not be set correctly. The solution is identically zero >> everywhere. >> >> Is that option list what you meant? If you could let me know what should >> be corrected. >> >> >> Thanks for your support, >> >> >> Thibaut >> >> >> On 31/10/2018 16:43, Mark Adams wrote: >> >> >> >> On Tue, Oct 30, 2018 at 5:23 PM Appel, Thibaut via petsc-users < >> petsc-users@mcs.anl.gov> wrote: >> >>> Dear users, >>> >>> Following a suggestion from Matthew Knepley I’ve been trying to apply >>> fieldsplit/gamg for my set of PDEs but I’m still encountering issues >>> despite various tests. pc_gamg simply won’t start. >>> Note that direct solvers always yield the correct, physical result. >>> Removing the fieldsplit to focus on the gamg bit and trying to solve the >>> linear system on a modest size problem still gives, with >>> >>> '-ksp_monitor -ksp_rtol 1.0e-10 -ksp_gmres_restart 300 -ksp_type gmres >>> -pc_type gamg' >>> >>> [3]PETSC ERROR: --------------------- Error Message >>> -------------------------------------------------------------- >>> [3]PETSC ERROR: Petsc has generated inconsistent data >>> [3]PETSC ERROR: Have un-symmetric graph (apparently). Use >>> '-(null)pc_gamg_sym_graph true' to symetrize the graph or >>> '-(null)pc_gamg_threshold -1' if the matrix is structurally symmetric. >>> >>> And since then, after adding '-pc_gamg_sym_graph true' I have been >>> getting >>> [0]PETSC ERROR: --------------------- Error Message >>> -------------------------------------------------------------- >>> [0]PETSC ERROR: Petsc has generated inconsistent data >>> [0]PETSC ERROR: Eigen estimator failed: DIVERGED_NANORINF at iteration >>> >>> -ksp_chebyshev_esteig_noisy 0/1 does not change anything >>> >>> Knowing that Chebyshev eigen estimator needs a positive spectrum I tried >>> ‘-mg_levels_ksp_type gmres’ but iterations would just go on endlessly. >>> >> >> This is OK, but you need to use '-ksp_type *f*gmres' (this could be why >> it is failing ...). >> >> It looks like your matrix is 1) just the velocity field and 2) very >> unsymmetric (eg, convection dominated). I would start with >> ‘-mg_levels_ksp_type richardson -mg_levels_pc_type sor’. >> >> I would also start with unsmoothed aggregation: '-pc_gamg_nsmooths 0' >> >> >>> >>> It seems that I have indeed eigenvalues of rather high magnitude in the >>> spectrum of my operator without being able to determine the reason. >>> The eigenvectors look like small artifacts at the wall-inflow or >>> wall-outflow corners with zero anywhere else but I do not know how to >>> interpret this. >>> Equations are time-harmonic linearized Navier-Stokes to which a forcing >>> is applied, there’s no time-marching. >>> >> >> You mean you are in frequency domain? >> >> >>> >>> Matrix is formed with a MPIAIJ type. The formulation is incompressible, >>> in complex arithmetic and the 2D physical domain is mapped to a logically >>> rectangular, >> >> >> This kind of messes up the null space that AMG depends on but AMG theory >> is gone for NS anyway. >> >> >>> regular collocated grid with a high-order finite difference method. >>> I determine the ownership of the rows/degrees of freedom of the matrix >>> with PetscSplitOwnership and I’m not using DMDA. >>> >> >> Our iterative solvers are probably not going to work well on this but you >> should test hypre also (-pc_type hypre -pc_hypre_type boomeramg). You need >> to configure PETSc to download hypre. >> >> Mark >> >> >>> >>> The Fortran application code is memory-leak free and has undergone a >>> strict verification/validation procedure for different variations of the >>> PDEs. >>> >>> If there’s any problem with the matrix what could help for the >>> diagnostic? At this point I’m running out of ideas so I would really >>> appreciate additional suggestions and discussions. >>> >>> Thanks for your continued support, >>> >>> >>> Thibaut >> >> > > -- > What most experimenters take for granted before they begin their > experiments is infinitely more interesting than any results to which their > experiments lead. > -- Norbert Wiener > > https://www.cse.buffalo.edu/~knepley/ > <http://www.cse.buffalo.edu/~knepley/> >