Finite element analysis of incompressible viscous flows by the penalty function formulation

Thomas J R Hughes, Wing Kam Liu, Alec Brooks

Research output: Contribution to journalArticlepeer-review

436 Scopus citations

Abstract

A review of recent work and new developments are presented for the penalty-function/finite element formulation of incompressible viscous flows. Basic features of the penalty method are described in the context of the steady and unsteady Navier-Stokes equations. Galerkin and "upwind" treatments of convection terms are discussed. Numerical results indicate the versatility and effectiveness of the new methods.

Original languageEnglish (US)
Pages (from-to)1-60
Number of pages60
JournalJournal of Computational Physics
Volume30
Issue number1
DOIs
StatePublished - Jan 1979

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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