Enhanced GMRES acceleration techniques for some CFD problems

Azzeddine Souläimani; Nizar Ben Salah; Yousef Saad

doi:10.1080/10618560290003991

Enhanced GMRES acceleration techniques for some CFD problems

Azzeddine Souläimani, Nizar Ben Salah, Yousef Saad

Computer Science and Engineering

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Large linear systems arising in CFD problems are often solved using iterative methods which typically combine an accelerator such as GMRES and a preconditioner. This paper presents results using several preconditioning techniques, which are not standard in CFD. Numerical tests are carried out for solving three-dimensional incompressible, compressible and magnetohydrodynamic (MHD) problems. A selection of numerical results is presented showing in particular that the flexible GMRES algorithm preconditioned with ILUT factorization provides a fairly robust iterative solver.

Original language	English (US)
Pages (from-to)	1-20
Number of pages	20
Journal	International Journal of Computational Fluid Dynamics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1080/10618560290003991
State	Published - Feb 2002

Bibliographical note

Funding Information:
This research has been funded by the Natural Sciences and Engineering Research Council of Canada (NSERC), PSIR research program of ETS and by Bombardier. Yousef Saad acknowledges support from the Army Research Office and the Minnesota Supercomputing Institute.

Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.

Keywords

Broyden
Deflation
FGMRES
GMRES
Incompressible
Stablization

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10.1080/10618560290003991

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N2 - Large linear systems arising in CFD problems are often solved using iterative methods which typically combine an accelerator such as GMRES and a preconditioner. This paper presents results using several preconditioning techniques, which are not standard in CFD. Numerical tests are carried out for solving three-dimensional incompressible, compressible and magnetohydrodynamic (MHD) problems. A selection of numerical results is presented showing in particular that the flexible GMRES algorithm preconditioned with ILUT factorization provides a fairly robust iterative solver.

AB - Large linear systems arising in CFD problems are often solved using iterative methods which typically combine an accelerator such as GMRES and a preconditioner. This paper presents results using several preconditioning techniques, which are not standard in CFD. Numerical tests are carried out for solving three-dimensional incompressible, compressible and magnetohydrodynamic (MHD) problems. A selection of numerical results is presented showing in particular that the flexible GMRES algorithm preconditioned with ILUT factorization provides a fairly robust iterative solver.

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Enhanced GMRES acceleration techniques for some CFD problems

Abstract

Bibliographical note

Keywords

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