Fast convergence of SPH numerical solutions using robust algebraic multilevel

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Federal do Paraná (UFPR)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorFederal Institute of Paraná (IFPR) – Campus of Paranaguá-
Autor(es): dc.creatorda Silva, L. P.-
Autor(es): dc.creatorMarchi, C. H.-
Autor(es): dc.creatorMeneguette, M.-
Autor(es): dc.creatorSuero, R.-
Data de aceite: dc.date.accessioned2025-08-21T21:01:29Z-
Data de disponibilização: dc.date.available2025-08-21T21:01:29Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-09-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.jocs.2024.102369-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/306362-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/306362-
Descrição: dc.descriptionIn our study we solve 2D equations that model the mathematical phenomenon of steady state heat diffusion. The discretization of the equations is performed with the smoothed particle hydrodynamics (SPH) method and the resolution of the associated system of linear equations is determined with a modified solver that we call the Gauss–Seidel–Silva (G–S–S). The single level parallel G–S–S solver is compared to the algebraic multilevel (AML) with serial G–S–S smoother which has the ability to smooth the error of the numerical solutions and accelerate convergence due to its iterative formulation. The AML with serial G–S–S smoother is responsible for determining speed-ups of 4084 times for uniform and 5136 times for non-uniform particle discretization. We estimate a speed-up of 41082 times for the AML with parallel G–S–S smoother.-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionLaboratory of Numerical Experimentation (LENA) Department of Mechanical Engineering (DEMEC) Federal University of Paraná (UFPR), P.O. Box 19040, PR-
Descrição: dc.descriptionSão Paulo State University (UNESP) Department of Mathematics and Computer Science (DMC), SP-
Descrição: dc.descriptionFederal Institute of Paraná (IFPR) – Campus of Paranaguá, PR-
Descrição: dc.descriptionSão Paulo State University (UNESP) Department of Mathematics and Computer Science (DMC), SP-
Descrição: dc.descriptionCAPES: 001-
Idioma: dc.languageen-
Relação: dc.relationJournal of Computational Science-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectHeat diffusion-
Palavras-chave: dc.subjectParallel Gauss–Seidel–Silva CSR-
Palavras-chave: dc.subjectRobust algebraic multilevel-
Palavras-chave: dc.subjectSPH-
Palavras-chave: dc.subjectUniform and non-uniform particle discretization-
Título: dc.titleFast convergence of SPH numerical solutions using robust algebraic multilevel-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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