SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations

S. K. Aliabadi, S. E. Ray, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

In this article, we present our investigation and comparison of the SUPG-stabilized finite element formulations for computation of viscous compressible flows based on the conservation and entropy variables. This article is a sequel to the one on inviscid compressible flows by Le Beau et al. (1992). For the conservation variables formulation, we use the SUPG stabilization technique introduced in Aliabadi and Tezduyar (1992), which is a modified version of the one described in Le Beau et al. (1992). The formulation based on the entropy variables is same as the one introduced in Hughes et al. (1986). The two formulations are tested on three different problems: adiabatic flat plate at Mach 2.5, Reynolds number 20,000; Mach 3 compression corner at Reynolds number 16,800; and Mach 6 NACA 0012 airfoil at Reynolds number 10,000. In all cases, we show that the results obtained with the two formulations are very close. This observation is the same as the one we had in Le Beau et al. (1992) for inviscid flows.

Original languageEnglish
Pages (from-to)300-312
Number of pages13
JournalComputational Mechanics
Volume11
Issue number5-6
DOIs
Publication statusPublished - 1993 Sep
Externally publishedYes

Fingerprint

Compressible flow
Compressible Flow
Viscous Flow
Mach number
Conservation
Reynolds number
Entropy
Finite Element
Formulation
Inviscid Flow
Airfoils
Stabilized Finite Elements
Stabilization
Flat Plate
Airfoil
Compression

ASJC Scopus subject areas

  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Cite this

SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations. / Aliabadi, S. K.; Ray, S. E.; Tezduyar, Tayfun E.

In: Computational Mechanics, Vol. 11, No. 5-6, 09.1993, p. 300-312.

Research output: Contribution to journalArticle

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