Jie,
I attempted to use FGMRES solver without preconditioner to replace Line 269 as
following:
SolverControl solver_control (stokes_matrix.block(0,0).m(),
1e-6*utmp.l2_norm(), true);
SolverFGMRES<Vector<double> > gmres(solver_control);
gmres.solve(stokes_matrix.block(0,0), dst.block(0), utmp,
PreconditionIdentity());
But it couldn't converge even in 2D. I also tried SolverBicgstab without
preconditioning, it did converge but no improvement compared to direct solver
was observed in the cases that I ran.
Yes, not using a preconditioner is not an option. You need to use *something*
or you will not be able to converge in any reasonable number of iterations.
If your problem is advection-dominated (i.e., a high Reynolds number) then I
would try to use downstream numbering of unknowns (via the corresponding
DoFRenumbering function) and then use SSOR as a preconditioner. There are many
better preconditioners for the N-S equations, but that's an easy start.
Best
W.
--
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Wolfgang Bangerth email: [email protected]
www: http://www.math.colostate.edu/~bangerth/
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