Review of preconditioning methods for fluid dynamics

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Abstract

We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible fluid dynamic equations. Most of the analysis relies on the inviscid equations though some applications for viscous flow are considered. The preconditioning can consist of either a matrix or a differential operator acting on the time derivatives. Hence, in the steady state the original steady solution is obtained. For finite difference methods the preconditioning can change and improve the steady-state solutions. Several preconditioners previously discussed are reviewed and some new approaches are presented.

Original languageEnglish
Pages (from-to)257-284
Number of pages28
JournalApplied Numerical Mathematics
Volume12
Issue number1-3
DOIs
StatePublished - May 1993

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