Performance of projection methods for low-Reynolds-number flows

Página do item simplificado
dc.contributor.authorSousa, Fabricio S.
dc.contributor.authorOishi, Cassio M. [UNESP]
dc.contributor.authorBuscaglia, Gustavo C.
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:38:17Z
dc.date.available2018-12-11T16:38:17Z
dc.date.issued2014-01-01
dc.description.abstractThere exists growing interest in modelling flows at millimetric and micrometric scales, characterised by low Reynolds numbers (Re << 1). In this work, we investigate the performance of projection methods (of the algebraic-splitting kind) for the computation of steady-state simple benchmark problems. The most popular approximate factorization methods are assessed, together with two so-called exact factorization methods. The results show that: (a) The error introduced by non-incremental schemes on the steady state solution is unacceptably large even in the simplest of flows. This is well-known for the basic first order scheme and motivated variants aiming at increased accuracy. Unfortunately, the variants studied either become unstable for the time steps of interest, or yield steady states with larger error than the basic first order scheme. (b) Incremental schemes have an optimal time step δt∗ so as to reach the steady state with minimum computational effort. Taking δt = δt∗ the code reaches the steady state in not less than a few hundred time steps. Such a cost is significantly higher than that of solving the velocity-pressure coupled system, which can compute the steady state in one shot. (c) The main difficulty, however, is that if δt is chosen too large (in general δt∗ is not known), then thousands or tens of thousands of time steps are required to reach the numerical steady state with incremental projection methods. The numerical solutions of these methods follow a time-step-dependent spurious transient which makes the computation of steady states prohibitively expensive.en
dc.description.affiliationDepartment of Applied Mathematics and Statistics, Universidade de São Paulo (ICMC-USP)
dc.description.affiliationDepartment of Mathematics and Computer Science, Universidade Estadual Paulista (UNESP)
dc.description.affiliationUnespDepartment of Mathematics and Computer Science, Universidade Estadual Paulista (UNESP)
dc.format.extent4950-4961
dc.identifier.citation11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, p. 4950-4961.
dc.identifier.scopus2-s2.0-84923950378
dc.identifier.urihttp://hdl.handle.net/11449/167776
dc.language.isoeng
dc.relation.ispartof11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAlgebraic splitting
dc.subjectIncompressible flow
dc.subjectLow Reynolds number
dc.subjectMicrofluidics
dc.subjectNavier-Stokes equations
dc.subjectProjection method
dc.titlePerformance of projection methods for low-Reynolds-number flowsen
dc.typeTrabalho apresentado em evento
unesp.author.lattes8671745801940831[2]
unesp.author.orcid0000-0002-0904-6561[2]

Arquivos

Coleções

Artigos