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Preconditioner updates applied to CFD model problems
Abstract
In the present paper we concentrate on solving sequences of nonsymmetric linear systems with block structure arising from compressible flow problems. We attempt to improve the solution process by sharing part of the computational effort throughout the sequence. This is achieved by application of a cheap updating technique for preconditioners which we adapted in order to be used for our applications. Tested on three benchmark compressible flow problems, the strategy speeds up the entire computation with an acceleration being particularly pronounced in phases of instationary behavior.
Sponsorship
The work of the first and third author is supported by the German Science Foundation as part of the Sonderforschungsbereich SFB/TR TRR 30 "Prozessintegrierte Herstellung funktional gradierter Strukturen auf der Grundlage thermo-mechanisch gekoppelter Phänomene", project C2. The work of the second and fourth author is supported by the Program Information Society under project 1ET400300415. The work of the second author is also supported by project number KJB100300703 of the Grant Agency of the Academy of Sciences of the Czech Republic.Citation
@article{urn:nbn:de:hebis:34-2007022617269,
author={Birken, Philipp and Tebbens, Jurjen Duintjer and Meister, Andreas and Tuma, Miroslav},
title={Preconditioner updates applied to CFD model problems},
year={2007}
}
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2007-02-26T11:06:59Z 2007-02-26T11:06:59Z 2007 urn:nbn:de:hebis:34-2007022617269 http://hdl.handle.net/123456789/2007022617269 The work of the first and third author is supported by the German Science Foundation as part of the Sonderforschungsbereich SFB/TR TRR 30 "Prozessintegrierte Herstellung funktional gradierter Strukturen auf der Grundlage thermo-mechanisch gekoppelter Phänomene", project C2. The work of the second and fourth author is supported by the Program Information Society under project 1ET400300415. The work of the second author is also supported by project number KJB100300703 of the Grant Agency of the Academy of Sciences of the Czech Republic. 453925 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Finite volume methods Update preconditioning Krylov subspace methods Euler equations Conversation laws 510 Preconditioner updates applied to CFD model problems Preprint In the present paper we concentrate on solving sequences of nonsymmetric linear systems with block structure arising from compressible flow problems. We attempt to improve the solution process by sharing part of the computational effort throughout the sequence. This is achieved by application of a cheap updating technique for preconditioners which we adapted in order to be used for our applications. Tested on three benchmark compressible flow problems, the strategy speeds up the entire computation with an acceleration being particularly pronounced in phases of instationary behavior. open access Birken, Philipp Tebbens, Jurjen Duintjer Meister, Andreas Tuma, Miroslav Mathematische Schriften Kassel ;; 07, 01 35L65 65F10 Mathematische Schriften Kassel 07, 01
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