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Preconditioner Updates Applied to CFD Model Problems
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SYSNO ASEP 0089231 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Preconditioner Updates Applied to CFD Model Problems Překlad názvu Aktualizace předpodmínění pro modelování v dynamice tekutin Tvůrce(i) Birken, P. (DE)
Duintjer Tebbens, Jurjen (UIVT-O) RID, SAI, ORCID
Meister, A. (DE)
Tůma, Miroslav (UIVT-O) SAI, RID, ORCIDZdroj.dok. Applied Numerical Mathematics. - : Elsevier - ISSN 0168-9274
Roč. 58, č. 11 (2008), s. 1628-1641Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova finite volume methods ; update preconditioning ; Krylov subspace methods ; Euler equations ; conservation laws Vědní obor RIV BA - Obecná matematika CEP 1ET400300415 GA AV ČR - Akademie věd KJB100300703 GA AV ČR - Akademie věd CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000260268600003 EID SCOPUS 52149111649 DOI 10.1016/j.apnum.2007.10.001 Anotace 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. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2009
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