STABILIZED FINITE ELEMENT FORMULATION WITH DOMAIN DECOMPOSITION FOR INCOMPRESSIBLE FLOWS

被引：2

作者：

Becker, Roland ^{[1
]}

Capatina, Daniela ^{[1
]}

Luce, Robert ^{[1
]}

Trujillo, David ^{[1
]}

机构：

[1] Univ Pau, IPRA, CNRS, LMAP,UMR 5142, F-64013 Pau, France

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2015年 / 37卷 / 03期

关键词：

incompressible flows; Navier-Stokes equations; Euler equations; finite element method; SUPG stabilization; domain decomposition; Nitsche's method; NAVIER-STOKES EQUATIONS;

D O I：

10.1137/140975796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a robust finite element method with domain decomposition for incompressible flows, allowing for control of the kinetic energy. First, we introduce a streamline upwind Petrov-Galerkin stabilization, which preserves the scaling of the Navier-Stokes equations and yields robustness with respect to the Peclet number. In view of parallelization, we then generalize the method in order to take into account several subdomains with independent finite element spaces, discontinuous at the interfaces. The interface conditions are treated by a generalized Nitsche-type method, also respecting the correct scaling. Detailed numerical experiments are presented in order to confirm robustness of the method and study its dependence on the different numerical parameters.

引用

页码：A1270 / A1296

页数：27

共 50 条

[1] Stabilized finite element formulation of buoyancy driven incompressible flows
Aliabadi, S
Abatan, A
Johnson, A
Abedi, J
Yeboah, Y
Bota, K
[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2002, 18 (05): : 315 - 324
[2] A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
Oñate, E
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 182 (3-4) : 355 - 370
[3] STABILIZED FINITE-ELEMENT METHODS FOR THE VELOCITY PRESSURE STRESS FORMULATION OF INCOMPRESSIBLE FLOWS
BEHR, MA
FRANCA, LP
TEZDUYAR, TE
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 104 (01) : 31 - 48
[4] A finite element formulation for transient incompressible viscous flows stabilized by local time-steps
de Sampaio, PAB
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (18-20) : 2095 - 2108
[5] NOTES ON THE STABILIZED SPACE-TIME FINITE-ELEMENT FORMULATION OF UNSTEADY INCOMPRESSIBLE FLOWS
MITTAL, S
TEZDUYAR, TE
[J]. COMPUTER PHYSICS COMMUNICATIONS, 1992, 73 (1-3) : 93 - 112
[6] Stabilized finite element formulation for incompressible flow on distorted meshes
Foerster, Ch.
Wall, W. A.
Ramm, E.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 60 (10) : 1103 - 1126
[7] A stabilized finite element method for generalized stationary incompressible flows
Codina, R
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (20-21) : 2681 - 2706
[8] An analysis technique for stabilized finite element solution of incompressible flows
Rebollo, TC
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2001, 35 (01): : 57 - 89
[9] Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows nonlinear model
Research Inst, Aeronautic Computing Technique, PO Box 90, Xi'an 710068, China
[J]. J Comput Appl Math, 1 (19-28):
[10] Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows - Nonlinear model
Zhou, L
Zhou, TX
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 81 (01) : 19 - 28

← 1 2 3 4 5 →