Finite element methods based on a new formulation for the non-stationary incompressible Navier–Stokes equations

✍ Scribed by Ping Lin; Xianqiao Chen; Ming Tze Ong

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 867 KB
• Volume: 46
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.794

✦ Synopsis

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 separately and the pressure can be simply obtained by a substitution. Moreover, fully explicit time integration can be applied for easy implementation. Implementation issues are discussed and a couple of flow examples are simulated. Parallel implementation based on domain decomposition is incorporated as well. Copyright © 2004 John Wiley & Sons, Ltd.