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

^*Corresponding author for this work

Stanford University

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

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 language	English
Pages (from-to)	19-43
Number of pages	25
Journal	American Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume	78
State	Published - 1986
Externally published	Yes

Cite this

@article{13b10e3c09374e1bac96594d22ad5130,

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",

language = "אנגלית",

volume = "78",

pages = "19--43",

journal = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",

issn = "0160-8835",

}

TY - JOUR

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

Y1 - 1986

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.

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

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.conferencearticle???

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.

Abstract

Other files and links

Fingerprint

Cite this