A nonstandard multigrid method with flexible multiple semicoarsening for the numerical solution of the pressure equation in a Navier-Stokes solver |
| |
Authors: | Jean Piquet Xavier Vasseur |
| |
Institution: | 1. Laboratoire de Mécanique des Fluides UMR 6598, Ecole Centrale de Nantes, 1, rue de la No?, B.P. 92101, F-44321, Nantes Cedex 3, France 2. Laboratoire d'Informatique et de Mécanique pour les Sciences de l'Ingénieur UPR 3251, B.P. 133, F-91403, Orsay Cedex, France
|
| |
Abstract: | Numerical methods for the incompressible Reynolds-averaged Navier-Stokes equations discretized by finite difference techniques
on collocated cell-centered structured grids are considered in this paper. A widespread solution method to solve the pressure-velocity
coupling problem is to use a segregated approach, in which the computational work is deeply controlled by the solution of
the pressure problem. This pressure equation is an elliptic partial differential equation with possibly discontinuous or anisotropic
coeffficients. The resulting singular linear system needs efficient solution strategies especially for 3-dimensional applications.
A robust method (close to MG-S 22,34]) combining multiple cell-centered semicoarsening strategies, matrix-independent transfer
operators, Galerkin coarse grid approximation is therefore designed. This strategy is both evaluated as a solver or as a preconditioner
for Krylov subspace methods on various 2- or 3-dimensional fluid flow problems. The robustness of this method is shown.
This revised version was published online in June 2006 with corrections to the Cover Date. |
| |
Keywords: | multigrid method Krylov subspace method incompressible Navier-Stokes equations semicoarsening robustness 65F10 65N55 76D05 76M20 |
本文献已被 SpringerLink 等数据库收录! |
|