Simple finite element method in vorticity formulation for incompressible flows


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Liu, JG; Weinan, E

Published Date

  • April 1, 2001

Published In

Volume / Issue

  • 70 / 234

Start / End Page

  • 579 - 593

International Standard Serial Number (ISSN)

  • 0025-5718

Digital Object Identifier (DOI)

  • 10.1090/S0025-5718-00-01239-4

Citation Source

  • Scopus