Deflated preconditioned conjugate gradient solvers for the Pressure-Poisson equation

被引：32

作者：

Aubry, Romain ^{[1
]}

Mut, Fernando ^{[1
]}

Lohner, Rainald ^{[1
]}

Cebral, Juan R. ^{[1
]}

机构：

[1] George Mason Univ, Coll Sci, Ctr Computat Fluid Dynam, Fairfax, VA 22030 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 24期

关键词：

Conjugate gradients; Pressure-Poisson equation; incompressible flow solvers; Finite elements; CFD;

D O I：

10.1016/j.jcp.2008.08.025

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 [计算机应用技术]; 0835 [软件工程];

摘要：

A deflated preconditioned conjugate gradient technique has been developed for the solution of the Pressure-Poisson equation within an incompressible flow solver. The deflation is done using a region-based decomposition of the unknowns, making it extremely simple to implement. The procedure has shown a considerable reduction in the number of iterations. For grids with large graph-depth the savings exceed an order of magnitude. Furthermore, the technique has shown a remarkable insensitivity to the number of groups/regions chosen, and to the way the groups are formed. (C) 2008 Published by Elsevier Inc.

引用

页码：10196 / 10208

页数：13

共 48 条

[1]

ALESSANDRINI B, 1996, P 21 S ANV HYDR TRON

[2]

A 2ND-ORDER PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS [J].

BELL, JB ;

COLELLA, P ;

GLAZ, HM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 85 (02) :257-283

[3]

A 2ND-ORDER PROJECTION METHOD FOR VARIABLE-DENSITY FLOWS [J].

BELL, JB ;

MARCUS, DL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 101 (02) :334-348

[4]

The construction of an algebraically reduced system for the acceleration of preconditioned conjugate gradients [J].

Bielawski, SS ;

Mulyarchik, SG ;

Popov, AV .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 70 (02) :189-200

[5]

Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: Technique and sensitivity [J].

Cebral, JR ;

Castro, MA ;

Appanaboyina, S ;

Putman, CM ;

Millan, D ;

Frangi, AF .

IEEE TRANSACTIONS ON MEDICAL IMAGING, 2005, 24 (04) :457-467

[6]

Chapman A, 1997, NUMER LINEAR ALGEBR, V4, P43, DOI 10.1002/(SICI)1099-1506(199701/02)4:1<43::AID-NLA99>3.3.CO

[7]

2-Q

[8]

CHEN NH, 2004, THESIS GEORGE MASON

[9]

Pressure stability in fractional step finite element methods for incompressible flows [J].

Codina, R .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 170 (01) :112-140

[10]

A deflated iterative solver for magnetostatic finite element models with large differences in permeability [J].

De Gersem, H ;

Hameyer, K .

EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS, 2001, 13 (01) :45-49

← 1 2 3 4 5 →