A FICTITIOUS DOMAIN METHOD FOR EXTERNAL INCOMPRESSIBLE VISCOUS-FLOW MODELED BY NAVIER-STOKES EQUATIONS

被引：179

作者：

GLOWINSKI, R

PAN, TW

PERIAUX, J

机构：

[1] UNIV HOUSTON,DEPT MATH,HOUSTON,TX 77204

[2] UNIV P&M CURIE,PARIS,FRANCE

[3] CERFACS,TOULOUSE,FRANCE

[4] DASSAULT AVIAT,F-92214 ST CLOUD,FRANCE

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1994年 / 112卷 / 1-4期

关键词：

D O I：

10.1016/0045-7825(94)90022-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article we discuss a fictitious domain method for the numerical solutions of three-dimensional elliptic problems with Dirichlet boundary conditions and also of the Navier-Stokes equations modeling incompressible viscous how. The methodology for the Navier-Stokes equations described here takes a systematic advantage of time discretization by operator splitting in order to treat separately advection, imbedding and incompressibility. Due to the decoupling, fast elliptic solvers can be used to treat the incompressibility condition even if the original problem is taking place on a nonregular geometry. The resulting methodology is applied to two-dimensional unsteady external incompressible viscous flow problems and three-dimensional Stokes problems.

引用

页码：133 / 148

页数：16

共 13 条

[1]

Adams J., 1980, FISHPAK PACKAGE FORT

[2] DOMAIN IMBEDDING METHODS FOR THE STOKES EQUATIONS [J].

BORGERS, C .

NUMERISCHE MATHEMATIK, 1990, 57 (05) :435-451

[3]

BRISTEAU M. O., 1985, FINITE ELEMENTS FLUI, V6, P1

[4] NUMERICAL-METHODS FOR THE NAVIER-STOKES EQUATIONS - APPLICATIONS TO THE SIMULATION OF COMPRESSIBLE AND INCOMPRESSIBLE VISCOUS FLOWS [J].

BRISTEAU, MO ;

GLOWINSKI, R ;

PERIAUX, J .

COMPUTER PHYSICS REPORTS, 1987, 6 (1-6) :73-187

[5]

BUSSOLETTI JE, 1991, COMPUTER METHODS APP, P49

[6] DIRECT SOLUTION OF DISCRETE POISSON EQUATION ON IRREGULAR REGIONS [J].

BUZBEE, BL ;

DORR, FW ;

GEORGE, JA ;

GOLUB, GH .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (04) :722-&

[7]

DINH QV, 1992, DOMAIN DECOMPOSITION, P151

[8]

Glowinski R., 1984, NUMERICAL METHODS NO

[9]

GLOWINSKI R, IN PRESS FICTITIOUS

[10]

Glowinski R., 1985, PROGR SUPERCOMPUTING, P173

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