Review of Preconditioning Methods for Fluid Dynamics
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چکیده
We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible uid dynamic equations. Most of the analysis relies on the inviscid equations though some applications for viscous ow are considered. The preconditioning can consist of either a matrix or a di erential operator acting on the time derivatives. Hence, in the steady state the original steady solution is obtained. For nite di erence methods the preconditioning can change and improve the steady state solutions. Several preconditioners previously discussed are reviewed and some new approaches are presented. y ICASE NASA Langley Research Center Hampton, Va 23665 and School of Mathematical Sciences Sackler Faculty of Exact Sciences Tel-Aviv University Tel-Aviv 69978, Israel
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تاریخ انتشار 2003