Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations

A first-order linear fully discrete scheme is studied for the incompressible time-dependent Navier–Stokes equations in three-dimensional domains. This scheme is based on an incremental pressure projection method and decouples each component of the velocity and the pressure, solving in each time step...

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Detalles Bibliográficos
Autores: Guillén González, Francisco Manuel, Redondo Neble, María Victoria
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::5c7b9997a9e2d8359f5a12c0f2bf1b97
Acceso en línea:https://hdl.handle.net/11441/187134
https://doi.org/10.1016/j.cam.2017.02.025
Access Level:acceso abierto
Palabra clave:Navier–Stokes equations
Incremental pressure projection schemes
Segregated scheme
Error estimates
Finite-elements
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spelling Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equationsGuillén González, Francisco ManuelRedondo Neble, María VictoriaNavier–Stokes equationsIncremental pressure projection schemesSegregated schemeError estimatesFinite-elementsA first-order linear fully discrete scheme is studied for the incompressible time-dependent Navier–Stokes equations in three-dimensional domains. This scheme is based on an incremental pressure projection method and decouples each component of the velocity and the pressure, solving in each time step, a linear convection–diffusion problem for each component of the velocity and a Poisson–Neumann problem for the pressure. Using an inf–sup stable and continuous finite-elements approach of order 0 (h) in space, unconditional optimal error estimates of order 0 (k + h) are deduced for velocity and pressure (without imposing constraints on the mesh size h and the time step k). Finally, some numerical results are performed to validate the theoretical analysis, and also to compare the studied scheme with other current first-order segregated schemes.ElsevierEcuaciones Diferenciales y Análisis NuméricoFQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/187134https://doi.org/10.1016/j.cam.2017.02.025reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Computational and Applied Mathematics, 321, 348-370. 10.1016/j.cam.2017.02.025info:eu-repo/semantics/openAccessoai:dnet:idus________::5c7b9997a9e2d8359f5a12c0f2bf1b972026-06-17T12:51:07Z
dc.title.none.fl_str_mv Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
title Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
spellingShingle Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
Guillén González, Francisco Manuel
Navier–Stokes equations
Incremental pressure projection schemes
Segregated scheme
Error estimates
Finite-elements
title_short Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
title_full Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
title_fullStr Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
title_full_unstemmed Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
title_sort Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
dc.creator.none.fl_str_mv Guillén González, Francisco Manuel
Redondo Neble, María Victoria
author Guillén González, Francisco Manuel
author_facet Guillén González, Francisco Manuel
Redondo Neble, María Victoria
author_role author
author2 Redondo Neble, María Victoria
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ecuaciones diferenciales, Simulación Num. y Desarrollo Software
dc.subject.none.fl_str_mv Navier–Stokes equations
Incremental pressure projection schemes
Segregated scheme
Error estimates
Finite-elements
topic Navier–Stokes equations
Incremental pressure projection schemes
Segregated scheme
Error estimates
Finite-elements
description A first-order linear fully discrete scheme is studied for the incompressible time-dependent Navier–Stokes equations in three-dimensional domains. This scheme is based on an incremental pressure projection method and decouples each component of the velocity and the pressure, solving in each time step, a linear convection–diffusion problem for each component of the velocity and a Poisson–Neumann problem for the pressure. Using an inf–sup stable and continuous finite-elements approach of order 0 (h) in space, unconditional optimal error estimates of order 0 (k + h) are deduced for velocity and pressure (without imposing constraints on the mesh size h and the time step k). Finally, some numerical results are performed to validate the theoretical analysis, and also to compare the studied scheme with other current first-order segregated schemes.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/187134
https://doi.org/10.1016/j.cam.2017.02.025
url https://hdl.handle.net/11441/187134
https://doi.org/10.1016/j.cam.2017.02.025
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Computational and Applied Mathematics, 321, 348-370.
10.1016/j.cam.2017.02.025
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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