Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements

J. E. Akin, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

49 Citations (Scopus)

Abstract

We investigate, for linear and higher-order elements, various ways of calculating the advective limit of the stabilization parameter ("τ") used in the streamline-upwind/Petrov-Galerkin (SUPG) formulation of flow problems. In the context of a pure advection test problem, we compare the "UGN-based", element-matrix-based, and element-node-based calculations of the advective limit of the τ. Our investigation shows that the performances of the "UGN-based" and element-matrix-based τ definitions are comparable, with the element-matrix-based definition yielding somewhat lower τ values. We also show that for both definitions, as the polynomial orders increase, the τ values decrease, as they should.

Original languageEnglish
Pages (from-to)1909-1922
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume193
Issue number21-22
DOIs
Publication statusPublished - 2004 May 28
Externally publishedYes

Fingerprint

Stabilization
stabilization
matrices
Advection
advection
polynomials
Polynomials
formulations

Keywords

  • Advective limit
  • Element length
  • Higher-order elements
  • Stabilization parameters
  • SUPG formulation

ASJC Scopus subject areas

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

Cite this

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AB - We investigate, for linear and higher-order elements, various ways of calculating the advective limit of the stabilization parameter ("τ") used in the streamline-upwind/Petrov-Galerkin (SUPG) formulation of flow problems. In the context of a pure advection test problem, we compare the "UGN-based", element-matrix-based, and element-node-based calculations of the advective limit of the τ. Our investigation shows that the performances of the "UGN-based" and element-matrix-based τ definitions are comparable, with the element-matrix-based definition yielding somewhat lower τ values. We also show that for both definitions, as the polynomial orders increase, the τ values decrease, as they should.

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