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

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

doi:10.1016/0045-7825(93)90205-C

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

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

102 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 language	English
Pages (from-to)	31-48
Number of pages	18
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	104
Issue number	1
DOIs	https://doi.org/10.1016/0045-7825(93)90205-C
Publication status	Published - 1993 Apr
Externally published	Yes

ASJC Scopus subject areas

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

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10.1016/0045-7825(93)90205-C

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

Abstract

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