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Linear and non‐linear iterative methods for the incompressible Navier‐Stokes equations
Author(s) -
Clift Simon S.,
Forsyth Peter A.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180302
Subject(s) - navier–stokes equations , compressibility , pressure correction method , mathematics , computational fluid dynamics , iterative method , reynolds averaged navier–stokes equations , linear system , mathematical analysis , mathematical optimization , physics , mechanics
In this study, the discretized finite volume form of the two‐dimensional, incompressible Navier‐Stokes equations is solved using both a frozen coefficient and a full Newton non‐linear iteration. The optimal method is a combination of these two techniques. The linearized equations are solved using a conjugate‐gradient‐like method (CGSTAB). Various types of preconditioning are developed. Completely general sparse matrix methods are used. Investigations are carried out to determine the effect of finite volume cell anisotropy on the preconditioner. Numerical results are given for several test problems.