Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem

The final publication is available at link.springer.com

Bibliographic Details
Authors: Paipuri, Mahendra, Tiago, C., Fernández Méndez, Sonia|||0000-0002-9305-7684
Format: article
Publication Date:2019
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/183476
Online Access:https://hdl.handle.net/2117/183476
https://dx.doi.org/10.1007/s10915-018-0769-8
Access Level:Open access
Keyword:Hybridizable discontinuous Galerkin
Continuous Galerkin
Coupling Navier–Stokes
Convection–diffusion
Conjugate heat transfer
Classificació AMS::90 Operations research, mathematical programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa
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spelling Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problemPaipuri, MahendraTiago, C.Fernández Méndez, Sonia|||0000-0002-9305-7684Hybridizable discontinuous GalerkinContinuous GalerkinCoupling Navier–StokesConvection–diffusionConjugate heat transferClassificació AMS::90 Operations research, mathematical programmingÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativaThe final publication is available at link.springer.comA coupling strategy between hybridizable discontinuous Galerkin (HDG) and continuous Galerkin (CG) methods is proposed in the framework of second-order elliptic operators. The coupled formulation is implemented and its convergence properties are established numerically by using manufactured solutions. Afterwards, the solution of the coupled Navier–Stokes/convection–diffusion problem, using Boussinesq approximation, is formulated within the HDG framework and analysed using numerical experiments. Results of Rayleigh–Bénard convection flow are also presented and validated with literature data. Finally, the proposed coupled formulation between HDG and CG for heat equation is combined with the coupled Navier–Stokes/convection diffusion equations to formulate a new CG–HDG model for solving conjugate heat transfer problems. Benchmark examples are solved using the proposed model and validated with literature values. The proposed CG–HDG model is also compared with a CG–CG model, where all the equations are discretized using the CG method, and it is concluded that CG–HDG model can have a superior computational efficiency when compared to CG–CG model.Peer Reviewed20192019-01-2620202020-04-15journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/183476https://dx.doi.org/10.1007/s10915-018-0769-8reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengMinisterio de Economía y Competitividad http://doi.org/10.13039/501100003329 MTM2013-46313-R DESARROLLO Y ANALISIS DE FORMULACIONES HDG PARA PROBLEMAS HETEROGENEOS EN DINAMICA DE FLUIDOS COMPUTACIONAL (DAFOH2)open accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1834762026-05-27T15:37:01Z
dc.title.none.fl_str_mv Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
title Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
spellingShingle Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
Paipuri, Mahendra
Hybridizable discontinuous Galerkin
Continuous Galerkin
Coupling Navier–Stokes
Convection–diffusion
Conjugate heat transfer
Classificació AMS::90 Operations research, mathematical programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa
title_short Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
title_full Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
title_fullStr Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
title_full_unstemmed Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
title_sort Coupling of continuous and hybridizable discontinuous Galerkin methods: application to conjugate heat transfer problem
dc.creator.none.fl_str_mv Paipuri, Mahendra
Tiago, C.
Fernández Méndez, Sonia|||0000-0002-9305-7684
author Paipuri, Mahendra
author_facet Paipuri, Mahendra
Tiago, C.
Fernández Méndez, Sonia|||0000-0002-9305-7684
author_role author
author2 Tiago, C.
Fernández Méndez, Sonia|||0000-0002-9305-7684
author2_role author
author
dc.subject.none.fl_str_mv Hybridizable discontinuous Galerkin
Continuous Galerkin
Coupling Navier–Stokes
Convection–diffusion
Conjugate heat transfer
Classificació AMS::90 Operations research, mathematical programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa
topic Hybridizable discontinuous Galerkin
Continuous Galerkin
Coupling Navier–Stokes
Convection–diffusion
Conjugate heat transfer
Classificació AMS::90 Operations research, mathematical programming
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa
description The final publication is available at link.springer.com
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-26
2020
2020-04-15
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/2117/183476
https://dx.doi.org/10.1007/s10915-018-0769-8
url https://hdl.handle.net/2117/183476
https://dx.doi.org/10.1007/s10915-018-0769-8
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://doi.org/10.13039/501100003329 MTM2013-46313-R DESARROLLO Y ANALISIS DE FORMULACIONES HDG PARA PROBLEMAS HETEROGENEOS EN DINAMICA DE FLUIDOS COMPUTACIONAL (DAFOH2)
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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