SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices

J. Ed Akin, Tayfun E. Tezduyar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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" and element-matrix-based calculations and the calculations from the quadrature-point components of the element-level matrices. Our investigation shows that the performances of all three definitions are comparable, with the element-based definitions yielding somewhat lower τ values and the quadrature-point-based definitions somewhat higher. We also show that for both the element-based and quadrature-point-based definitions, as the polynomial orders increase, the τ values decrease, as they should.

Original languageEnglish
Title of host publicationECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
Publication statusPublished - 2004
Externally publishedYes
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla
Duration: 2004 Jul 242004 Jul 28

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CityJyvaskyla
Period04/7/2404/7/28

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Keywords

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

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

Cite this

Akin, J. E., & Tezduyar, T. E. (2004). SUPG stabilization parameters calculated from the quadrature-point components of the element-level matrices. In ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering