A hybrid multigrid method for convection-diffusion problems

被引：9

作者：

Khelifi, S. Chaabane ^{[1
,3
]}

Mechitoua, N. ^{[1
]}

Huelsemann, F. ^{[2
]}

Magoules, F. ^{[3
]}

机构：

[1] EDF R&D, MFEE, F-78400 Chatou, France

[2] EDF R&D, SINETICS, F-92140 Clamart, France

[3] Ecole Cent Paris, F-92295 Chatenay Malabry, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 259卷

关键词：

Multigrid; Convection-diffusion; Aggregation; Rescaling; Computational fluid dynamics; DOMAIN DECOMPOSITION METHODS; AGGREGATION; ORDER;

D O I：

10.1016/j.cam.2013.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents an advanced performance study of a multigrid method designed for convection-diffusion problems developed in Khelifi et al. (2011) [24]. The proposed scheme with the separation of the operators enables an individual treatment for each operator: while the piecewise constant operator is used for the convective part, each off-diagonal entry of the coarse diffusion operator is scaled by a geometric factor. Numerical examples illustrate the fast convergence and the outstanding robustness of the proposed method, compared to other known methods. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：711 / 719

页数：9

共 35 条

[21] AGGLOMERATION MULTIGRID FOR 2-DIMENSIONAL VISCOUS FLOWS
MAVRIPLIS, DJ
VENKATAKRISHNAN, V
[J]. COMPUTERS & FLUIDS, 1995, 24 (05) : 553 - 570
[22] Mechitoua N, 2003, NURETH 10 SEOUL S KO
[23] Mechitoua N, 2009, INT C MATH COMP METH
[24] Multigrid method for solving convection-diffusion problems with dominant convection
Muratova, Galina V.
Andreeva, Evgeniya M.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 226 (01) : 77 - 83
[25] Filtering algebraic multigrid and adaptive strategies
Naegel, Arne
Falgout, Robert D.
Wittum, Gabriel
[J]. COMPUTING AND VISUALIZATION IN SCIENCE, 2008, 11 (03) : 159 - 167
[26] Nataf F., 1994, 301 IR CMAP
[27] AGGREGATION-BASED ALGEBRAIC MULTIGRID FOR CONVECTION-DIFFUSION EQUATIONS
Notay, Yvan
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (04) : A2288 - A2316
[28] Quarteroni A., 1999, NUMER MATH SCI COMP
[29] Iterative solution of linear systems in the 20th century
Saad, Y
van der Vorst, HA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 123 (1-2) : 1 - 33
[30] Smith B., 1996, DOMAIN DECOMPOSITION

← 1 2 3 4 →