Computation of inviscid compressible flows with the V-SGS stabilization and YZβ shock-capturing

Franco Rispoli, Rafael Saavedra, Alessandro Corsini, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

The YZβ shock-capturing technique was introduced recently for use in combination with the streamline-upwind/Petrov-Galerkin formulation of compressible flows in conservation variables. The YZβ shock-capturing parameter is much simpler than an earlier parameter derived from the entropy variables for use in conservation variables. In this paper, we propose to use the YZβ shock-capturing in combination with the variable subgrid scale (V-SGS) formulation of compressible flows in conservation variables. The V-SGS method is based on an approximation of the class of SGS models derived from the Hughes variational multiscale method. We evaluate the performance of the V-SGS and YZβ combination in a number of standard, 2D test problems. Compared to the earlier shock-capturing parameter derived from the entropy variables, in addition to being much simpler, the YZβ shock-capturing parameter yields better shock quality in these test problems.

Original languageEnglish
Pages (from-to)695-706
Number of pages12
JournalInternational Journal for Numerical Methods in Fluids
Volume54
Issue number6-8
DOIs
Publication statusPublished - 2007 Jul 20
Externally publishedYes

Fingerprint

Shock Capturing
Inviscid Flow
Compressible flow
Compressible Flow
Conservation
Stabilization
Entropy
Test Problems
Variational multiscale Method
Petrov-Galerkin
Formulation
Streamlines
Shock
Evaluate
Approximation

Keywords

  • Compressible flows
  • Supersonic flows
  • SUPG stabilization
  • V-SGS stabilization
  • YZβ shock-capturing

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

Computation of inviscid compressible flows with the V-SGS stabilization and YZβ shock-capturing. / Rispoli, Franco; Saavedra, Rafael; Corsini, Alessandro; Tezduyar, Tayfun E.

In: International Journal for Numerical Methods in Fluids, Vol. 54, No. 6-8, 20.07.2007, p. 695-706.

Research output: Contribution to journalArticle

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