Stabilization and shock-capturing parameters in SUPG formulation of compressible flows

Tayfun E. Tezduyar*, Masayoshi Senga

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

172 Citations (Scopus)


The streamline-upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows. It includes a stabilization parameter that is known as "τ". Typically the SUPG formulation is used in combination with a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are much simpler than the one based on the entropy variables, involve less operations in calculating the shock-capturing term, and yield better shock quality in the test computations.

Original languageEnglish
Pages (from-to)1621-1632
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Issue number13-16
Publication statusPublished - 2006 Feb 15
Externally publishedYes


  • Compressible flows
  • Finite element formulation
  • SUPG stabilization
  • Shock-capturing parameter
  • Stabilization parameters

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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