Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem

被引：13

作者：

Apel, Thomas ^{[3
]}

Knopp, Tobias ^{[2
]}

Lube, Gert ^{[1
]}

机构：

[1] Univ Gottingen, Inst Numer & Angew Math, D-37083 Gottingen, Germany

[2] Deutsch Zentrum Luft & Raumfahrt, Inst Aerodynam & Stromungstech, D-37073 Gottingen, Germany

[3] Univ Bundeswehr Munchen, Inst Math & Bauinformat, D-85577 Neubiberg, Germany

来源：

APPLIED NUMERICAL MATHEMATICS | 2008年 / 58卷 / 12期

关键词：

Oseen equation; Channel flow; Stabilized finite element method; Anisotropic mesh;

D O I：

10.1016/j.apnum.2007.11.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonstationary incompressible flow problems can be split into auxiliary problems of Oseen type. We present the analysis of conforming stabilized Galerkin methods of SUPG/PSPG-type with equal-order interpolation of velocity/pressure and with emphasis on structured anisotropic mesh refinement in boundary layers. We prove a modified inf-sup condition with a constant independent of the viscosity and of critical parameters of the mesh. Numerical tests support the results. (C) 2007 IMACS. Published by Elsevier B.V All fights reserved.

引用

页码：1830 / 1843

页数：14

共 16 条

[1]

Apel T., 2004, ENCY COMPUTATIONAL M, V1, P55

[2]

APEL T, 1999, ADV NUMERICAL MATH

[3]

BECKER R, 1995, NOTES NUMERICAL FLUI, V49, P52, DOI DOI 10.1007/978-3-663-14125-9_4

[4] STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

BROOKS, AN ;

HUGHES, TJR .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259

[5] Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes [J].

Codina, R ;

Soto, O .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (15-16) :1403-1419

[6] Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods [J].

Codina, R .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 190 (13-14) :1579-1599

[7] A variational multiscale higher-order finite element formulation for turbomachinery flow computations [J].

Corsini, A ;

Rispoli, F ;

Santoriello, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (45-47) :4797-4823

[8] STABILIZED FINITE-ELEMENT METHODS .2. THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

FRANCA, LP ;

FREY, SL .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 99 (2-3) :209-233

[9] EPILEPSY IN A CHILDRENS-HOSPITAL - AN OUTPATIENT SURVEY [J].

HUGHES, AP ;

APPLETON, RE .

SEIZURE, 1995, 4 (04) :279-285

[10] TURBULENCE STATISTICS IN FULLY-DEVELOPED CHANNEL FLOW AT LOW REYNOLDS-NUMBER [J].

KIM, J ;

MOIN, P ;

MOSER, R .

JOURNAL OF FLUID MECHANICS, 1987, 177 :133-166

← 1 2 →