A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales

We propose a finite-element formulation for simulating multi-component flows occupying the same domain with spatially varying concentrations. Each constituent is assumed to behave as an incompressible Newtonian fluid, and solutions are sought for the velocities and volume fractions of each phase, as...

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Autores: Gravenkamp, Hauke|||0000-0002-2641-6384, Codina, Ramon|||0000-0002-7412-778X, Principe, Ricardo Javier|||0000-0002-1478-2651
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/407185
Acceso en línea:https://hdl.handle.net/2117/407185
https://dx.doi.org/10.1016/j.jcp.2024.112754
Access Level:acceso abierto
Palabra clave:Computational fluid dynamics
Fluid dynamics
Multiphase flow
Stabilized finite elements
Variational multiscale method
Orthogonal subgrid scales
Dispersed flow
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
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spelling A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scalesGravenkamp, Hauke|||0000-0002-2641-6384Codina, Ramon|||0000-0002-7412-778XPrincipe, Ricardo Javier|||0000-0002-1478-2651Computational fluid dynamicsFluid dynamicsMultiphase flowStabilized finite elementsVariational multiscale methodOrthogonal subgrid scalesDispersed flowDinàmica de fluids computacionalÀrees temàtiques de la UPC::Física::Física de fluids::Flux de fluidsWe propose a finite-element formulation for simulating multi-component flows occupying the same domain with spatially varying concentrations. Each constituent is assumed to behave as an incompressible Newtonian fluid, and solutions are sought for the velocities and volume fractions of each phase, as well as the common pressure. Stabilization terms are derived within the framework of the variational multiscale method based on an approximation of the finite-element residual to achieve control of the pressure and volume fractions. We utilize the concept of term-by-term stabilization in conjunction with orthogonal subgrid scales, thus incorporating only those terms of the residual essential to obtain stability and projecting them on a space orthogonal to the finite element space. The resulting system of equations is solved in a monolithic manner, requiring a small number of nonlinear iterations. Several benchmark tests have been performed to confirm the stability and optimal asymptotic convergence rates for linear and higher-order elements using the proposed formulation.H. Gravenkamp acknowledges grant CEX2018-000797-S funded byMCIN/AEI/ 10.13039/501100011033. R. Codina acknowledges the support received fromthe ICREA Acadèmia Research Program of the Catalan Government. J. Principe acknowledges grant PID2021-123611OB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe.”Peer ReviewedElsevier20242024-03-0120242024-04-26journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/407185https://dx.doi.org/10.1016/j.jcp.2024.112754reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-123611OB-I00 MATEMATICA COMPUTACIONAL AVANZADA PARA EL DISEÑO OPTIMO DE LA ENVOLTURA REGENERADORAopen 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:upcommons.upc.edu:2117/4071852026-05-27T15:37:01Z
dc.title.none.fl_str_mv A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
title A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
spellingShingle A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
Gravenkamp, Hauke|||0000-0002-2641-6384
Computational fluid dynamics
Fluid dynamics
Multiphase flow
Stabilized finite elements
Variational multiscale method
Orthogonal subgrid scales
Dispersed flow
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
title_short A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
title_full A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
title_fullStr A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
title_full_unstemmed A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
title_sort A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales
dc.creator.none.fl_str_mv Gravenkamp, Hauke|||0000-0002-2641-6384
Codina, Ramon|||0000-0002-7412-778X
Principe, Ricardo Javier|||0000-0002-1478-2651
author Gravenkamp, Hauke|||0000-0002-2641-6384
author_facet Gravenkamp, Hauke|||0000-0002-2641-6384
Codina, Ramon|||0000-0002-7412-778X
Principe, Ricardo Javier|||0000-0002-1478-2651
author_role author
author2 Codina, Ramon|||0000-0002-7412-778X
Principe, Ricardo Javier|||0000-0002-1478-2651
author2_role author
author
dc.subject.none.fl_str_mv Computational fluid dynamics
Fluid dynamics
Multiphase flow
Stabilized finite elements
Variational multiscale method
Orthogonal subgrid scales
Dispersed flow
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
topic Computational fluid dynamics
Fluid dynamics
Multiphase flow
Stabilized finite elements
Variational multiscale method
Orthogonal subgrid scales
Dispersed flow
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
description We propose a finite-element formulation for simulating multi-component flows occupying the same domain with spatially varying concentrations. Each constituent is assumed to behave as an incompressible Newtonian fluid, and solutions are sought for the velocities and volume fractions of each phase, as well as the common pressure. Stabilization terms are derived within the framework of the variational multiscale method based on an approximation of the finite-element residual to achieve control of the pressure and volume fractions. We utilize the concept of term-by-term stabilization in conjunction with orthogonal subgrid scales, thus incorporating only those terms of the residual essential to obtain stability and projecting them on a space orthogonal to the finite element space. The resulting system of equations is solved in a monolithic manner, requiring a small number of nonlinear iterations. Several benchmark tests have been performed to confirm the stability and optimal asymptotic convergence rates for linear and higher-order elements using the proposed formulation.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-03-01
2024
2024-04-26
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/2117/407185
https://dx.doi.org/10.1016/j.jcp.2024.112754
url https://hdl.handle.net/2117/407185
https://dx.doi.org/10.1016/j.jcp.2024.112754
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-123611OB-I00 MATEMATICA COMPUTACIONAL AVANZADA PARA EL DISEÑO OPTIMO DE LA ENVOLTURA REGENERADORA
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: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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