GSMAC FINITE-ELEMENT METHOD FOR UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS AT HIGH REYNOLDS-NUMBERS

被引：31

作者：

TANAHASHI, T ^{[1
]}

OKANAGA, H ^{[1
]}

SAITO, T ^{[1
]}

机构：

[1] ASAHI GLASS CO LTD,RES LAB,KANAGAWA KU,YOKOHAMA 221,JAPAN

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1990年 / 11卷 / 05期

关键词：

Driven cavity flow; GSMAC finite element method; High Reynolds number; Incompressible Navier–Stokes solver; Vortex shedding behind a circular cylinder;

D O I：

10.1002/fld.1650110503

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new finite element technique is developed for predicting the velocity and the pressure in transient incompressible viscous fluid flows at high Reynolds numbers. The new method is based on the generalized and simplified marker‐and‐cell method (GSMAC) and has two characteristics: one is an application of the Bernoulli function and the implicit pressure solution algorithm to the explicit fractional time step method; the other is a high‐order flux calculation to prevent the pressure field from oscillating. Two examples, driven cavity flows at high Reynolds numbers and vortex shedding behind a circular cylinder, are presented. Satisfactory agreement with experiment is demonstrated. Copyright © 1990 John Wiley & Sons, Ltd

引用

页码：479 / 499

页数：21

共 50 条

[21] Stabilized finite-element method for the stationary Navier-Stokes equations
Yinnian He
Aiwen Wang
Liquan Mei
[J]. Journal of Engineering Mathematics, 2005, 51 : 367 - 380
[22] ANALYSIS OF A MIXED FINITE-ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS
GIRAULT, V
RAVIART, PA
[J]. NUMERISCHE MATHEMATIK, 1979, 33 (03) : 235 - 271
[23] TRANSIENT FINITE-ELEMENT SOLUTION METHOD FOR NAVIER-STOKES EQUATIONS
TUANN, S
OLSON, MD
[J]. COMPUTERS & FLUIDS, 1978, 6 (03) : 141 - 152
[24] Stabilized finite-element method for the stationary Navier-Stokes equations
He, YN
Wang, AW
Mei, LQ
[J]. JOURNAL OF ENGINEERING MATHEMATICS, 2005, 51 (04) : 367 - 380
[25] The postprocessed mixed finite-element method for the Navier-Stokes equations
Ayuso, B
García-Archilla, B
Novo, J
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 43 (03) : 1091 - 1111
[26] NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS BY FINITE-ELEMENT METHOD
CHENG, RT
[J]. PHYSICS OF FLUIDS, 1972, 15 (12) : 2098 - 2105
[27] USING A SEGREGATED FINITE-ELEMENT SCHEME TO SOLVE THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
SHAW, CT
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1991, 12 (01) : 81 - 92
[28] FINITE-ELEMENT METHODS FOR NAVIER-STOKES EQUATIONS
GLOWINSKI, R
PIRONNEAU, O
[J]. ANNUAL REVIEW OF FLUID MECHANICS, 1992, 24 : 167 - 204
[29] FINITE-ELEMENT STREAM FUNCTION VORTICITY SOLUTIONS OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
PEETERS, MF
HABASHI, WG
DUECK, EG
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1987, 7 (01) : 17 - 27
[30] STABILIZED FINITE-ELEMENT METHODS .2. THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
FRANCA, LP
FREY, SL
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 99 (2-3) : 209 - 233

← 1 2 3 4 5 →