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; T. E. Tezduyar

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, T. E. Tezduyar

^*この研究の対応する著者

研究成果: Conference article › 査読

9 被引用数 (Scopus)

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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.

本文言語	English
ページ（範囲）	19-43
ページ数	25
ジャーナル	American Society of Mechanical Engineers, Applied Mechanics Division, AMD
巻	78
出版ステータス	Published - 1986 12月 1
外部発表	はい

ASJC Scopus subject areas

機械工学

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title = "PETROV-GALERKIN FINITE ELEMENT METHOD FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS.",

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.",

author = "Franca, {L. P.} and I. Harari and Huges, {T. J.R.} and M. Mallet and F. Shakib and Spelce, {T. E.} and F. Chalot and Tezduyar, {T. E.}",

year = "1986",

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T1 - PETROV-GALERKIN FINITE ELEMENT METHOD FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS.

AU - Franca, L. P.

AU - Harari, I.

AU - Huges, T. J.R.

AU - Mallet, M.

AU - Shakib, F.

AU - Spelce, T. E.

AU - Chalot, F.

AU - Tezduyar, T. E.

PY - 1986/12/1

Y1 - 1986/12/1

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=0022898875&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0022898875

SN - 0160-8835

VL - 78

SP - 19

EP - 43

JO - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

JF - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

ER -

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

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