Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows

Marek A. Behr, Leopoldo P. Franca, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

88 Citations (Scopus)

Abstract

Formulated in terms of velocity, pressure and the extra stress tensor, the incompressible Navier-Stokes equations are discretized by stabilized finite element methods. The stabilized methods proposed are analyzed for a linear model and extended to the Navier-Stokes equations. The numerical tests performed confirm the good stability characteristics of the methods. These methods are applicable to various combinations of interpolation functions, including the simplest equal-order linear and bilinear elements.

Original languageEnglish
Pages (from-to)31-48
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume104
Issue number1
DOIs
Publication statusPublished - 1993
Externally publishedYes

Fingerprint

incompressible flow
Incompressible flow
Navier-Stokes equation
Navier Stokes equations
finite element method
Finite element method
formulations
stress tensors
Tensors
interpolation
Interpolation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows. / Behr, Marek A.; Franca, Leopoldo P.; Tezduyar, Tayfun E.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 104, No. 1, 1993, p. 31-48.

Research output: Contribution to journalArticle

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