A GMRES-based plane smoother in multigrid to solve 3D anisotropic fluid flow problems
- Institute for Algorithms and Scientific Computing (SCAI), Sankt Augustin (Germany)
For a discretization of the 3D steady incompressible Navier-Stokes equations a solution method is presented for solving flow problems on stretched grids. The discretization is a vertex-centered finite volume discretization with a flux splitting approach for the convective terms. Second-order accuracy is obtained with the well-known defect correction technique. The solution method used is multigrid, for which a plane smoother is presented for obtaining good convergence in flow domains with severely stretched grids. A matrix is set up in a plane, which is solved iteratively with a preconditioned GMRES method. Here, a stop criterion for GMRES is tested, which reduces the number of inner iterations compared to an {open_quotes}exact{close_quotes} plane solver without affecting the multigrid convergence rates. The performance of the solution method is shown for a Poisson model problem and for 3D incompressible channel flow examples. 38 refs., 12 figs., 5 tabs.
- OSTI ID:
- 518375
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 130; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
Similar Records
A multigrid waveform relaxation method for solving the poroelasticity equations
A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion