A DISCONTINUITY-CAPTURING CROSSWIND-DISSIPATION FOR THE FINITE-ELEMENT SOLUTION OF THE CONVECTION-DIFFUSION EQUATION

被引：194

作者：

CODINA, R

机构：

[1] Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports, Universitat Politècnica de Catalunya, 08034 Barcelona, Gran Capita s/n

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1993年 / 110卷 / 3-4期

关键词：

D O I：

10.1016/0045-7825(93)90213-H

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

To avoid the local oscillations that still remain using the streamline-upwind/Petrov-Galerkin formulation for the scalar convection-diffusion equation, the introduction of a nonlinear crosswind dissipation is proposed. It is shown that the method is less overdiffusive than other discontinuity-capturing techniques and has better numerical behavior. The design of the crosswind diffusion is based on the study of the discrete maximum principle for some simple cases.

引用

页码：325 / 342

页数：18

共 31 条

[1] FINITE-ELEMENT METHODS FOR 2ND ORDER DIFFERENTIAL EQUATIONS WITH SIGNIFICANT 1ST DERIVATIVES [J].

CHRISTIE, I ;

GRIFFITHS, DF ;

MITCHELL, AR ;

ZIENKIEWICZ, OC .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1976, 10 (06) :1389-1396

[2]

Ciarlet P. G., 1973, Computer Methods in Applied Mechanics and Engineering, V2, P17, DOI 10.1016/0045-7825(73)90019-4

[3]

Ciarlet P.G., 2002, FINITE ELEMENT METHO

[4] THE INTRINSIC TIME FOR THE STREAMLINE UPWIND PETROV-GALERKIN FORMULATION USING QUADRATIC ELEMENTS [J].

CODINA, R ;

ONATE, E ;

CERVERA, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 94 (02) :239-262

[5] STABILITY ANALYSIS OF THE FORWARD EULER SCHEME FOR THE CONVECTION-DIFFUSION EQUATION USING THE SUPG FORMULATION IN SPACE [J].

CODINA, R .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (09) :1445-1464

[6]

COURANT R, 1962, METHODS MATH PHYSICS, V2

[7]

DAVIS SF, 1981, J COMPUT PYS, V39, P164

[8]

DOCARMO EGD, 1991, COMPUT METHOD APPL M, V88, P1, DOI 10.1016/0045-7825(91)90231-T

[9] A CONSISTENT APPROXIMATE UPWIND PETROV-GALERKIN METHOD FOR CONVECTION-DOMINATED PROBLEMS [J].

GALEAO, AC ;

DOCARMO, EGD .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 68 (01) :83-95

[10]

Hirsch C., 1990, NUMERICAL COMPUTATIO, V2

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