FIC/FEM formulation with matrix stabilizing terms for incompressible flows at low and high Reynolds numbers

被引：40

作者：

Onate, E. ^{[1
]}

Valls, A. ^{[1
]}

Garcia, J. ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Int Ctr Numer Methods Engn, Barcelona 08034, Spain

来源：

COMPUTATIONAL MECHANICS | 2006年 / 38卷 / 4-5期

关键词：

stabilized formulation; incompressible fluid; finite calculus; finite element method; high Reynolds numbers; turbulence model;

D O I：

10.1007/s00466-006-0060-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a general formulation for incompressible fluid flow analysis using the finite element method. The necessary stabilization for dealing with convective effects and the incompressibility condition are introduced via the Finite Calculus method using a matrix form of the stabilization parameters. This allows to model a wide range of fluid flow problems for low and high Reynolds numbers flows without introducing a turbulence model. Examples of application to the analysis of incompressible flows with moderate and large Reynolds numbers are presented.

引用

页码：440 / 455

页数：16

共 66 条

[1] ABDELMEGUID AM, 1981, AFOSR HTTM STANDF C, V3, P1521
[2] b=integral g
Brezzi, F
Franca, LP
Hughes, TJR
Russo, A
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 145 (3-4) : 329 - 339
[3] BRILEY WR, 1995, AIAA J, V33, P2073
[4] STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
BROOKS, AN
HUGHES, TJR
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) : 199 - 259
[5] Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
Codina, R
Blasco, J
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 182 (3-4) : 277 - 300
[6] A DISCONTINUITY-CAPTURING CROSSWIND-DISSIPATION FOR THE FINITE-ELEMENT SOLUTION OF THE CONVECTION-DIFFUSION EQUATION
CODINA, R
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 110 (3-4) : 325 - 342
[7] Codina R, 1998, INT J NUMER METH FL, V27, P13, DOI 10.1002/(SICI)1097-0363(199801)27:1/4<13::AID-FLD647>3.0.CO
[8] 2-8
[9] CBS versus GLS stabilization of the incompressible Navier-Stokes equations and the role of the time step as stabilization parameter
Codina, R
Zienkiewicz, OC
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2002, 18 (02): : 99 - 112
[10] Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
Codina, R
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (39-40) : 4295 - 4321

← 1 2 3 4 5 6 7 →