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Solution of the discretized incompressible Navier-Stokes equations with the GMRES method

✍ Scribed by C. Vuik

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
753 KB
Volume
16
Category
Article
ISSN
0271-2091

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✦ Synopsis

We describe some experiences using iterative 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.

KEY WORDS Navier-Stokes equations Incompressible boundary-fitted co-ordinates Non-symmetric linear systems Iterative solver 1. the SIMPLE method (semi-implicit method for pressure-linked equations),' ' . l 3 2. the distributive Gauss-Seidel smoothing method,'.

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