A multiplicative Schwarz method with active subdomains for transient convection-diffusion problems

An efficient algorithm to find the solution of transient convection–diffusion problems with dominant convection is presented. The main idea is to follow the solution front and activate those subdomains where the solution satisfies a given threshold value. We call this novel method ‘the multiplicativ...

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Vydáno v:	International journal for numerical methods in biomedical engineering Ročník 26; číslo 12; s. 1573 - 1585
Hlavní autoři:	Sandoval, M. L., Rodríguez-Ferran, A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Chichester, UK John Wiley & Sons, Ltd 01.12.2010 Wiley
Témata:	activated-carbon filters active subdomains Algorithms Automotive components Automotive industry Cholesky factorization Conjugate gradient method Convection Convection and heat transfer convection-diffusion Emissions control Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Mathematical models multiplicative Schwarz method Physics symmetric linear systems Turbulent flows, convection, and heat transfer Transient response Convection diffusion equation Matrix factorization Conjugate gradient methods Experimental study symmetric linear systems Convection convection-diffusion active subdomains Filters activated-carbon filters Activated carbon Automotive industry Diffusion equation Domain decomposition Preconditioning Cholesky factorization Heat transfer multiplicative Schwarz method
ISSN:	2040-7939, 2040-7947, 2040-7947
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Popis
Shrnutí:	An efficient algorithm to find the solution of transient convection–diffusion problems with dominant convection is presented. The main idea is to follow the solution front and activate those subdomains where the solution satisfies a given threshold value. We call this novel method ‘the multiplicative Schwarz method with active subdomains’, and it is motivated by the solution of a problem from activated‐carbon filters used in the automotive industry to reduce emissions. Numerical experiments show that this method is more efficient than the preconditioned conjugate gradient method with an incomplete Cholesky factorization. Copyright © 2009 John Wiley & Sons, Ltd.
Bibliografie:	Ministerio de Ciencia e Innovación - No. CGL2008-06003-C03-02/CLI; No. DPI2007-62395 istex:E1751912513EEADD47DEB1B1BDF0291FB95C74E0 ArticleID:CNM1239 ark:/67375/WNG-FF6KWK1J-F ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	2040-7939 2040-7947 2040-7947
DOI:	10.1002/cnm.1239