TUNING THE MESH OF A MIXED METHOD FOR THE STREAM FUNCTION - VORTICITY-FORMULATION OF THE NAVIER-STOKES EQUATIONS

被引：8

作者：

ACHDOU, Y

GLOWINSKI, R

PIRONNEAU, O

机构：

[1] UNIV PARIS 06,4 PL JUSSIEU,F-75005 PARIS,FRANCE

[2] COURANT INST,NEW YORK,NY

[3] UNIV HOUSTON,INST MATH,HOUSTON,TX 77204

[4] INST NATL RECH INFORMAT & AUTOMAT,F-78153 LE CHESNAY,FRANCE

来源：

NUMERISCHE MATHEMATIK | 1992年 / 63卷 / 02期

关键词：

Mathematics Subject Classification (1991): 35Q30; 65N30; 76D05;

D O I：

10.1007/BF01385852

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study a new mixed method for the Stokes and Navier-Stokes equations. The method uses two meshes, one very fine for omega and a coarser one for psi. Error estimates show that boundary layers do not require to refine the mesh for the stream function psi as much as for the vorticity omega when the Reynolds number is large. We prove estimates and study implementation problems.

引用

页码：145 / 163

页数：19

共 50 条

[1] MIXED SPECTRAL ELEMENT APPROXIMATION OF THE NAVIER-STOKES EQUATIONS IN THE STREAM-FUNCTION AND VORTICITY-FORMULATION
BERNARDI, C
GIRAULT, V
MADAY, Y
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1992, 12 (04) : 565 - 608
[2] A mixed stream-function and vorticity formulation for axisymmetric Navier-Stokes equations
Abdellatif, N
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 117 (01) : 61 - 83
[3] Error indicators for the Navier-Stokes equations in stream function and vorticity formulation
Amara, R
Ben Younes, M
Bernardi, C
[J]. NUMERISCHE MATHEMATIK, 1998, 80 (02) : 181 - 206
[4] Error indicators for the Navier-Stokes equations in stream function and vorticity formulation
M. Amara
M.Ben Younes
C. Bernardi
[J]. Numerische Mathematik, 1998, 80 : 181 - 206
[5] A STABILIZED FINITE ELEMENT METHOD FOR STREAM FUNCTION VORTICITY FORMULATION OF NAVIER-STOKES EQUATIONS
Abdelwahed, Mohamed
Chorfi, Nejmeddine
Hassine, Maatoug
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[6] Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
Amara, M
Bernardi, C
[J]. RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1999, 33 (05): : 1033 - 1056
[7] H2 solutions for the stream function and vorticity formulation of the Navier-Stokes equations
El-Gebeily, Mohamed A.
Fairag, Faisal
Alassar, Rajai
Elgindi, M. B. M.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (02) : 686 - 696
[8] Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier-Stokes equations
Fairweather, Graeme
Ma, Heping
Sun, Weiwei
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (02) : 449 - 464
[9] ITERATIVE SOLUTION OF THE STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN STREAM FUNCTION-VORTICITY FORMULATION
RUAS, V
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (03): : 381 - 386
[10] Mixed spectral-boundary element embedding algorithms for the Navier-Stokes equations in the vorticity-stream function formulation
Elghaoui, M
Pasquetti, R
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 153 (01) : 82 - 100

← 1 2 3 4 5 →