AN ILU PRECONDITIONER WITH COUPLED NODE FILL-IN FOR ITERATIVE SOLUTION OF THE MIXED FINITE-ELEMENT FORMULATION OF THE 2D AND 3D NAVIER-STOKES EQUATIONS

被引：42

作者：

DAHL, O

WILLE, SO

机构：

[1] Department of Informatics, University of Oslo, Oslo, N-0316, P.O. Box 1080, Blindern

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1992年 / 15卷 / 05期

关键词：

NAVIER-STOKES; MIXED FORMULATION; ORTHOMIN; BI-CGSTAB; JACOBI PRECONDITIONING; SSOR; INCOMPLETE LU; INNER ITERATIONS;

D O I：

10.1002/fld.1650150503

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, preconditioning of iterative equation solvers for the Navier-Stokes equations is investigated. The Navier-Stokes equations are solved for the mixed finite clement formulation. The linear equation solvers used are the orthomin and the Bi-CGSTAB algorithms. The storage structure of the equation matrix is given special attention in order to avoid swapping and thereby increase the speed of the preconditioner. The preconditioners considered are Jacobian, SSOR and incomplete LU preconditioning of the matrix associated with the velocities. A new incomplete LU preconditioning with fill-in for the pressure matrix at locations in the matrix where the corner nodes are coupled is designed. For all preconditioners, inner iterations are investigated for possible improvement of the preconditioning. Numerical experiments are executed both in two and three dimensions.

引用

页码：525 / 544

页数：20

共 25 条

[11] ITERATIVE SOLUTION METHOD FOR LINEAR-SYSTEMS OF WHICH COEFFICIENT MATRIX IS A SYMMETRIC M-MATRIX [J].