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Solution of the discretized incompressible Navier‐Stokes equations with the GMRES method
Author(s) -
Vuik C.
Publication year - 1993
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.1650160605
Subject(s) - generalized minimal residual method , preconditioner , discretization , mathematics , navier–stokes equations , reynolds averaged navier–stokes equations , pressure correction method , iterative method , compressibility , mathematical analysis , computational fluid dynamics , mathematical optimization , physics , mechanics
We describe some experiences using interative solution methods of GMRES type to solve the discretized Navier‐Stokes equations. The discretization combined with a pressure correction scheme leads to two different systems of equations: the momentum equations and the pressure equation. It appears that a fast solution method for the pressure equation is obtained by applying the recently proposed GMRESR method, or GMRES combined with a MILU preconditioner. The diagonally scaled momentum equations are solved by GMRES(m), a restarted version of GMRES.