A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows

In this article we present a novel staggered semi-implicit hybrid finite-volume/finite-element (FV/FE) method for the resolution of weakly compressible flows in two and three space dimensions. The pressure-based methodology introduced in [1], [2] for viscous incompressible flows is extended here to...

Descripción completa

Detalles Bibliográficos
Autores: Bermúdez de Castro López-Varela, Alfredo, Busto Ulloa, Saray, Dumbser, Michael, Ferrín González, José Luis, Saavedra, Laura, Vázquez Cendón, María Elena
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/38192
Acceso en línea:https://hdl.handle.net/10347/38192
Access Level:acceso abierto
Palabra clave:Weakly compressible flows
Projection method
Finite volume method
Finite element method
Staggered semi-implicit schemes
ADER methodology
id ES_ea2d2e33eebb0ccbb2b9f6f943441f9b
oai_identifier_str oai:minerva.usc.gal:10347/38192
network_acronym_str ES
network_name_str España
repository_id_str
spelling A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flowsBermúdez de Castro López-Varela, AlfredoBusto Ulloa, SarayDumbser, MichaelFerrín González, José LuisSaavedra, LauraVázquez Cendón, María ElenaWeakly compressible flowsProjection methodFinite volume methodFinite element methodStaggered semi-implicit schemesADER methodologyIn this article we present a novel staggered semi-implicit hybrid finite-volume/finite-element (FV/FE) method for the resolution of weakly compressible flows in two and three space dimensions. The pressure-based methodology introduced in [1], [2] for viscous incompressible flows is extended here to solve the compressible Navier-Stokes equations. Instead of considering the classical system including the energy conservation equation, we replace it by the pressure evolution equation written in non-conservative form. To ease the discretization of complex spatial domains, face-type unstructured staggered meshes are considered. A projection method allows the decoupling of the computation of the density and linear momentum variables from the pressure. Then, an explicit finite volume scheme is used for the resolution of the transport diffusion equations on the dual mesh, whereas the pressure system is solved implicitly by using continuous finite elements defined on the primal simplex mesh. Consequently, the CFL stability condition depends only on the flow velocity, avoiding the severe time restrictions that might be imposed by the sound velocity in the weakly compressible regime. High order of accuracy in space and time of the transport diffusion stage is attained using a local ADER (LADER) methodology. Moreover, also the CVC Kolgan-type second order in space and first order in time scheme is considered. To prevent spurious oscillations in the presence of shocks, an ENO-based reconstruction, the minmod limiter or the Barth-Jespersen limiter are employed. To show the validity and robustness of our novel staggered semi-implicit hybrid FV/FE scheme, several benchmarks are analysed, showing a good agreement with available exact solutions and numerical reference data from low Mach numbers, up to Mach numbers of the order of unity.ElsevierUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada20202020-11-1520202020-11-15journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/38192reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 Not available MTM2013-43745-R METODOS NUMERICOS EFICIENTES EN DINAMICA DE FLUIDOS E INTERACCION FLUIDO-ESTRUCTURA. APLICACIONES A LA ENERGIA Y EL MEDIO AMBIENTEMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 Not available MTM2015-68275-R DESARROLLO DE METODOLOGIAS MATEMATICAS PARA EVALUACION DEL COMPORTAMIENTO TERMO-MECANICO DE LAS RUTAS DE ARRABIO Y ESCORIA DE HORNOS ALTOSAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-86459-R APLICACIONES DE LA MODELIZACION, LA SIMULACION NUMERICA, LA OPTIMIZACION Y EL CONTROL OPTIMO AL DISEÑO DE DISPOSITIVOS Y PROCESOS INDUSTRIALESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/381922026-06-15T12:47:27Z
dc.title.none.fl_str_mv A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
title A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
spellingShingle A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
Bermúdez de Castro López-Varela, Alfredo
Weakly compressible flows
Projection method
Finite volume method
Finite element method
Staggered semi-implicit schemes
ADER methodology
title_short A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
title_full A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
title_fullStr A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
title_full_unstemmed A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
title_sort A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
dc.creator.none.fl_str_mv Bermúdez de Castro López-Varela, Alfredo
Busto Ulloa, Saray
Dumbser, Michael
Ferrín González, José Luis
Saavedra, Laura
Vázquez Cendón, María Elena
author Bermúdez de Castro López-Varela, Alfredo
author_facet Bermúdez de Castro López-Varela, Alfredo
Busto Ulloa, Saray
Dumbser, Michael
Ferrín González, José Luis
Saavedra, Laura
Vázquez Cendón, María Elena
author_role author
author2 Busto Ulloa, Saray
Dumbser, Michael
Ferrín González, José Luis
Saavedra, Laura
Vázquez Cendón, María Elena
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Matemática Aplicada
dc.subject.none.fl_str_mv Weakly compressible flows
Projection method
Finite volume method
Finite element method
Staggered semi-implicit schemes
ADER methodology
topic Weakly compressible flows
Projection method
Finite volume method
Finite element method
Staggered semi-implicit schemes
ADER methodology
description In this article we present a novel staggered semi-implicit hybrid finite-volume/finite-element (FV/FE) method for the resolution of weakly compressible flows in two and three space dimensions. The pressure-based methodology introduced in [1], [2] for viscous incompressible flows is extended here to solve the compressible Navier-Stokes equations. Instead of considering the classical system including the energy conservation equation, we replace it by the pressure evolution equation written in non-conservative form. To ease the discretization of complex spatial domains, face-type unstructured staggered meshes are considered. A projection method allows the decoupling of the computation of the density and linear momentum variables from the pressure. Then, an explicit finite volume scheme is used for the resolution of the transport diffusion equations on the dual mesh, whereas the pressure system is solved implicitly by using continuous finite elements defined on the primal simplex mesh. Consequently, the CFL stability condition depends only on the flow velocity, avoiding the severe time restrictions that might be imposed by the sound velocity in the weakly compressible regime. High order of accuracy in space and time of the transport diffusion stage is attained using a local ADER (LADER) methodology. Moreover, also the CVC Kolgan-type second order in space and first order in time scheme is considered. To prevent spurious oscillations in the presence of shocks, an ENO-based reconstruction, the minmod limiter or the Barth-Jespersen limiter are employed. To show the validity and robustness of our novel staggered semi-implicit hybrid FV/FE scheme, several benchmarks are analysed, showing a good agreement with available exact solutions and numerical reference data from low Mach numbers, up to Mach numbers of the order of unity.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-11-15
2020
2020-11-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/38192
url https://hdl.handle.net/10347/38192
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 Not available MTM2013-43745-R METODOS NUMERICOS EFICIENTES EN DINAMICA DE FLUIDOS E INTERACCION FLUIDO-ESTRUCTURA. APLICACIONES A LA ENERGIA Y EL MEDIO AMBIENTE
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 Not available MTM2015-68275-R DESARROLLO DE METODOLOGIAS MATEMATICAS PARA EVALUACION DEL COMPORTAMIENTO TERMO-MECANICO DE LAS RUTAS DE ARRABIO Y ESCORIA DE HORNOS ALTOS
Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-86459-R APLICACIONES DE LA MODELIZACION, LA SIMULACION NUMERICA, LA OPTIMIZACION Y EL CONTROL OPTIMO AL DISEÑO DE DISPOSITIVOS Y PROCESOS INDUSTRIALES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869423117303021568
score 15.81155

Similares en LA Referencia