Finite element stabilization parameters computed from element matrices and vectors

Tayfun E. Tezduyar; Yasuo Osawa

doi:10.1016/S0045-7825(00)00211-5

Finite element stabilization parameters computed from element matrices and vectors

Tayfun E. Tezduyar, Yasuo Osawa

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

307 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 language	English
Pages (from-to)	411-430
Number of pages	20
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	190
Issue number	3-4
DOIs	https://doi.org/10.1016/S0045-7825(00)00211-5
Publication status	Published - 2000 Oct 27
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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AU - Osawa, Yasuo

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AB - 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.

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