PETROV-GALERKIN FINITE ELEMENT METHOD FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS.

L. P. Franca, I. Harari, T. J R Huges, M. Mallet, F. Shakib, T. E. Spelce, F. Chalot, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The authors present an overview of a new finite element method for the compressible Euler and Navier-Stokes equations. The discretization is based on entropy variables. The method is developed within the framework of a Petrov-Galerkin formulation. Two perturbations are added to the weighting function; one is a generalization of the SUPG operator and the other is designed to enhance shock capturing capability. The treatment of boundary conditions and the consistent calculation of boundary fluxes are addressed. Results of numerical tests are presented which confirm the robustness and wide applicability of the method.

Original languageEnglish
Pages (from-to)19-43
Number of pages25
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume78
Publication statusPublished - 1986
Externally publishedYes

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Navier Stokes equations
Entropy
Boundary conditions
Fluxes
Finite element method

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

PETROV-GALERKIN FINITE ELEMENT METHOD FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS. / Franca, L. P.; Harari, I.; Huges, T. J R; Mallet, M.; Shakib, F.; Spelce, T. E.; Chalot, F.; Tezduyar, Tayfun E.

In: American Society of Mechanical Engineers, Applied Mechanics Division, AMD, Vol. 78, 1986, p. 19-43.

Research output: Contribution to journalArticle

Franca, L. P. ; Harari, I. ; Huges, T. J R ; Mallet, M. ; Shakib, F. ; Spelce, T. E. ; Chalot, F. ; Tezduyar, Tayfun E. / PETROV-GALERKIN FINITE ELEMENT METHOD FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS. In: American Society of Mechanical Engineers, Applied Mechanics Division, AMD. 1986 ; Vol. 78. pp. 19-43.
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AU - Chalot, F.

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