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Preconditioner Updates Applied to CFD Model Problems
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SYSNO ASEP 0089231 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Preconditioner Updates Applied to CFD Model Problems Title Aktualizace předpodmínění pro modelování v dynamice tekutin Author(s) Birken, P. (DE)
Duintjer Tebbens, Jurjen (UIVT-O) RID, SAI, ORCID
Meister, A. (DE)
Tůma, Miroslav (UIVT-O) SAI, RID, ORCIDSource Title Applied Numerical Mathematics. - : Elsevier - ISSN 0168-9274
Roč. 58, č. 11 (2008), s. 1628-1641Number of pages 14 s. Language eng - English Country NL - Netherlands Keywords finite volume methods ; update preconditioning ; Krylov subspace methods ; Euler equations ; conservation laws Subject RIV BA - General Mathematics R&D Projects 1ET400300415 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) KJB100300703 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000260268600003 EID SCOPUS 52149111649 DOI 10.1016/j.apnum.2007.10.001 Annotation This paper deals with solving sequences of nonsymmetric linear systems with a block structure arising from compressible flow problems. The systems are solved by a preconditioned iterative method. We attempt to improve the overall solution process by sharing a part of the computational effort throughout the sequence. Our approach is fully algebraic and it is based on updating preconditioners by a block triangular update. A particular update is computed in a black-box fashion from the known preconditioner of some of the previous matrices, and from the difference of involved matrices. Results of our test compressible flow problems show, that the strategy speeds up the entire computation. The acceleration is particularly important in phases of instationary behavior where we saved about half of the computational time in the supersonic and moderate Mach number cases. In the low Mach number case the updated decompositions were similarly effective as the frozen preconditioners. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2009
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