Finite element stabilization parameters computed from element matrices and vectors

Tayfun E. Tezduyar, Yasuo Osawa

Research output: Contribution to journalArticle

281 Citations (Scopus)

Abstract

We propose new ways of computing the stabilization parameters used in the stabilized finite element methods such as the streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) formulations. The parameters are computed based on the element-level matrices and vectors, which automatically take into account the local length scales, advection field and the Reynolds number. We describe how we compute these parameters in the context of first a time-dependent advection-diffusion equation and then the Navier-Stokes equations of unsteady incompressible flows.

Original languageEnglish
Pages (from-to)411-430
Number of pages20
JournalComputer Methods in Applied Mechanics and Engineering
Volume190
Issue number3-4
Publication statusPublished - 2000 Oct 27
Externally publishedYes

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Advection
Stabilization
stabilization
advection
Incompressible flow
matrices
Navier Stokes equations
Reynolds number
incompressible flow
Finite element method
Navier-Stokes equation
finite element method
formulations

ASJC Scopus subject areas

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

Cite this

Finite element stabilization parameters computed from element matrices and vectors. / Tezduyar, Tayfun E.; Osawa, Yasuo.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 3-4, 27.10.2000, p. 411-430.

Research output: Contribution to journalArticle

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