Three-dimensional edge-based SUPG computation of inviscid compressible flows with YZβ shock-capturing

Lucia Catabriga*, Denis A.F. de Souza, Alvaro L.G.A. Coutinho, Tayfun E. Tezduyar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


The streamline-upwind/Petrov-Galerkin (SUPG) formulation of compressible flows based on conservation variables, supplemented with shock-capturing, has been successfully used over a quarter of a century. In this paper, for inviscid compressible flows, the YZβ shock-capturing parameter, which was developed recently and is based on conservation variables only, is compared with an earlier parameter derived based on the entropy variables. Our studies include comparing, in the context of these two versions of the SUPG formulation, computational efficiency of the element- and edge-based data structures in iterative computation of compressible flows. Tests include 1D, 2D, and 3D examples.

Original languageEnglish
Number of pages1
JournalJournal of Applied Mechanics, Transactions ASME
Issue number2
Publication statusPublished - 2009 Jan 1
Externally publishedYes


  • Edge-based data structure
  • Inviscid compressible flow
  • SUPG formulation
  • Stabilization parameter
  • YZβ shock-capturing

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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