Simple finite element method in vorticity formulation for incompressible flows

Jian Guo Liu, E. Weinan

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

A very simple and efficient finite element method is introduced for two and three dimensional viscous incompressible flows using the vorticity formulation. This method relies on recasting the traditional finite element method in the spirit of the high order accurate finite difference methods introduced by the authors in another work. Optimal accuracy of arbitrary order can be achieved using standard finite element or spectral elements. The method is convectively stable and is particularly suited for moderate to high Reynolds number flows.

Original languageEnglish (US)
Pages (from-to)579-593
Number of pages15
JournalMathematics of Computation
Volume70
Issue number234
DOIs
StatePublished - Apr 1 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Error analysis
  • Navier-stokes equations
  • Simple finite element method
  • Vorticity boundary conditions

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