NUMERICAL-SIMULATION AND OPTIMAL SHAPE FOR VISCOUS-FLOW BY A FICTITIOUS DOMAIN METHOD

被引：46

作者：

GLOWINSKI, R

PAN, TW

KEARSLEY, AJ

PERIAUX, J

机构：

[1] RICE UNIV,DEPT COMPUTAT & APPL MATH,HOUSTON,TX 77251

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

[3] CERFACS,TOULOUSE,FRANCE

[4] UNIV PARIS 06,PARIS,FRANCE

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1995年 / 20卷 / 8-9期

关键词：

FICTITIOUS DOMAIN METHODS; LAGRANGE MULTIPLIERS; NAVIER-STOKES EQUATIONS; OPTIMAL SHAPE PROBLEMS;

D O I：

10.1002/fld.1650200803

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article we discuss the fictitious domain solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow. The method is based on a Lagrange multiplier treatment of the boundary conditions to be satisfied and is particularly well suited to the treatment of no-slip boundary conditions. This approach allows the use of structured meshes and fast specialized solvers for problems on complicated geometries. Another interesting feature of the fictitious domain approach is that it allows the solution of optimal shape problems without regriding. The resulting methodology is applied to the solution of flow problems including external incompressible viscous flow modelled by the Navier-Stokes equations and then to an optimal shape problem for Stokes and Navier-Stokes flow.

引用

页码：695 / &

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