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A review of some finite element methods to solve the stationary Navier-Stokes equations

✍ Scribed by A. Segal

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
737 KB
Volume
5
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

In this paper the integrated solution approach, the penalty function approach and the solenoidal approach for the finite element solution of the stationary Navier‐Stokes equations are compared. It is shown that both the penalty function approach and the solenoidal approach compare favourably to the integrated solution method. For fine meshes the solenoidal approach appears to be the cheapest method.

πŸ“œ SIMILAR VOLUMES

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## Abstract A new formulation of the Navier–Stokes equations is introduced to solve incompressible flow problems. When finite element methods are used under this formulation there is no need to worry whether Babuska–Brezzi condition is satisfied or not. Both velocity and pressure can be obtained se