SOLUTION OF THE DISCRETIZED INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH THE GMRES METHOD

被引：31

作者：

VUIK, C

机构：

[1] Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft, 2600 GA, P.O. Box 5031

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 1993年 / 16卷 / 06期

关键词：

NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE BOUNDARY-FITTED COORDINATES; NONSYMMETRICAL LINEAR SYSTEMS; ITERATIVE SOLVER;

D O I：

10.1002/fld.1650160605

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We describe some experiences using iterative solution methods of GMRES type to solve the discretized Navier-Stokes equations. The discretization combined with a pressure correction scheme leads to two different systems of equations: the momentum equations and the pressure equation. It appears that a fast solution method for the pressure equation is obtained by applying the recently proposed GMRESR method, or GMRES combined with a MILU preconditioner. The diagonally scaled momentum equations are solved by GMRES(m), a restarted version of GMRES.

引用

页码：507 / 523

页数：17

共 27 条

[11]

Patankar S.V., 2018, NUMERICAL HEAT TRANS

[12] CALCULATION PROCEDURE FOR HEAT, MASS AND MOMENTUM-TRANSFER IN 3-DIMENSIONAL PARABOLIC FLOWS [J].

PATANKAR, SV ;

SPALDING, DB .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1972, 15 (10) :1787-&

[13] MULTIGRID FLOW SOLUTIONS IN COMPLEX 2-DIMENSIONAL GEOMETRIES [J].

RAYNER, D .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1991, 13 (04) :507-518

[14]

SAAD Y, 1986, SIAM J SCI STAT COMP, V7, P856, DOI 10.1137/0907058

[15] IMPLEMENTATION OF AN ADAPTIVE ALGORITHM FOR RICHARDSON METHOD [J].

SAYLOR, PE ;

SMOLARSKI, DC .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 154 :615-646

[16] INVARIANT DISCRETIZATION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN BOUNDARY FITTED COORDINATES [J].

SEGAL, A ;

WESSELING, P ;

VANKAN, J ;

OOSTERLEE, CW ;

KASSELS, K .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1992, 15 (04) :411-426

[17] CGS, A FAST LANCZOS-TYPE SOLVER FOR NONSYMMETRIC LINEAR-SYSTEMS [J].

SONNEVELD, P .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1989, 10 (01) :36-52

[18] ITERATIVE SOLUTION METHODS FOR CERTAIN SPARSE LINEAR-SYSTEMS WITH A NONSYMMETRIC MATRIX ARISING FROM PDE-PROBLEMS [J].

VANDERVORST, HA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 44 (01) :1-19

[19] HIGH-PERFORMANCE PRECONDITIONING [J].

VANDERVORST, HA .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1989, 10 (06) :1174-1185

[20]

VANDERVORST HA, IN PRESS J NUMER L A

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