Robust RRE technique for increasing the order of accuracy of SPH numerical solutions

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Federal do Paraná (UFPR)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorSilva, L. P. da-
Autor(es): dc.creatorMarchi, C. H.-
Autor(es): dc.creatorMeneguette, M.-
Autor(es): dc.creatorFoltran, A. C.-
Data de aceite: dc.date.accessioned2025-08-21T19:36:31Z-
Data de disponibilização: dc.date.available2025-08-21T19:36:31Z-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2023-03-01-
Data de envio: dc.date.issued2022-09-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.matcom.2022.03.016-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/239895-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/239895-
Descrição: dc.descriptionThis study presents the use of a post-processing technique called repeated Richardson extrapolation (RRE) to improve the accuracy of numerical solutions of local and global variables obtained using the smoothed particle hydrodynamics (SPH) method. The investigation focuses on both the steady and unsteady one-dimensional heat conduction problems with Dirichlet boundary conditions, but this technique is applicable to multidimensional and other mathematical models. By using all the variables of the real type and quadruple precision (extended precision or Real*16) we were able to, for example, reduce the discretization error from 1.67E−08 to 3.46E−33 with four extrapolations, limited only by the round-off error and, consequently, determining benchmark solutions for the variable of interest ψ(1/2) using the SPH method. The increase in CPU time and memory usage owing to post-processing was almost null. RRE has proven to be robust in determining up to a sixteenth order of accuracy in meshless discretization for the spatial domain.-
Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionGraduate Program in Numerical Methods in Engineering (PPGMNE) Federal University of Paraná (UFPR), P.O. Box 19011-
Descrição: dc.descriptionLaboratory of Numerical Experimentation (LENA) Department of Mechanical Engineering (DEMEC) Federal University of Paraná (UFPR), P.O. Box 19040-
Descrição: dc.descriptionSão Paulo State University (UNESP) Department of Mathematics and Computer Science (DMC)-
Descrição: dc.descriptionGraduate Program in Mechanical Engineering (PGMEC) Federal University of Paraná (UFPR), P.O. Box 19040-
Descrição: dc.descriptionSão Paulo State University (UNESP) Department of Mathematics and Computer Science (DMC)-
Formato: dc.format231-252-
Idioma: dc.languageen-
Relação: dc.relationMathematics and Computers in Simulation-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectDiscretization error-
Palavras-chave: dc.subjectHeat diffusion-
Palavras-chave: dc.subjectSixteenth order of accuracy-
Palavras-chave: dc.subjectSPH benchmark solutions-
Palavras-chave: dc.subjectSPH with RRE highly accurate scheme-
Palavras-chave: dc.subjectVerification-
Título: dc.titleRobust RRE technique for increasing the order of accuracy of SPH numerical solutions-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.