A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations.

T. J.R. Hughes; Tayfun E. Tezduyar; A. N. Brooks

A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations.

T. J.R. Hughes, Tayfun E. Tezduyar, A. N. Brooks

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Abstract

Presents a general Petrov-Galerkin formulations for streamline type which accommodates systems of conservation laws. Proposes a weighted residual formulation and discusses formulation of several boundary conditions e.g. the scalar linear advection/diffusion equation and the compressible Euler equations. Examines selection of optimization parameters and discusses a family of new methods (Donea's Taylor- Galerkin schemes). Sample numerical calculations are presented and briefly discussed. (C.J.U.)

Original language	English
Title of host publication	Unknown Host Publication Title
Publisher	Academic Press Inc. (London) Ltd
ISBN (Print)	0125083602, 9780125083607
Publication status	Published - 1982 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Engineering(all)

Cite this

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AU - Hughes, T. J.R.

AU - Tezduyar, Tayfun E.

AU - Brooks, A. N.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - Presents a general Petrov-Galerkin formulations for streamline type which accommodates systems of conservation laws. Proposes a weighted residual formulation and discusses formulation of several boundary conditions e.g. the scalar linear advection/diffusion equation and the compressible Euler equations. Examines selection of optimization parameters and discusses a family of new methods (Donea's Taylor- Galerkin schemes). Sample numerical calculations are presented and briefly discussed. (C.J.U.)

AB - Presents a general Petrov-Galerkin formulations for streamline type which accommodates systems of conservation laws. Proposes a weighted residual formulation and discusses formulation of several boundary conditions e.g. the scalar linear advection/diffusion equation and the compressible Euler equations. Examines selection of optimization parameters and discusses a family of new methods (Donea's Taylor- Galerkin schemes). Sample numerical calculations are presented and briefly discussed. (C.J.U.)

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M3 - Chapter

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A Petrov-Galerkin finite element formulation for systems of conservation laws with special reference to the compressible Euler equations.

Abstract

ASJC Scopus subject areas

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