Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations

In this work we address the compressible Navier-Stokes equations written in the so-called primitive formulation. The proposed methodology is a finite-element solver based on a fractional step scheme in time, which allows to uncouple the calculation of the problem unknowns providing important savings...

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Autores: Parada Bustelo, Samuel|||0000-0003-0185-350X, Codina, Ramon|||0000-0002-7412-778X, Baiges Aznar, Joan|||0000-0002-3940-5887
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/344091
Acesso em linha:https://hdl.handle.net/2117/344091
https://dx.doi.org/10.1016/j.jcp.2020.110017
Access Level:acceso abierto
Palavra-chave:Navier-Stokes equations--Numerical solutions
Compressible flow
Variational multiscale method
Fractional step schemes
Finite element method
Weak imposition of boundary conditions
Equacions de Navier-Stokes -- Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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spelling Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equationsParada Bustelo, Samuel|||0000-0003-0185-350XCodina, Ramon|||0000-0002-7412-778XBaiges Aznar, Joan|||0000-0002-3940-5887Navier-Stokes equations--Numerical solutionsCompressible flowVariational multiscale methodFractional step schemesFinite element methodWeak imposition of boundary conditionsEquacions de Navier-Stokes -- Mètodes numèricsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsIn this work we address the compressible Navier-Stokes equations written in the so-called primitive formulation. The proposed methodology is a finite-element solver based on a fractional step scheme in time, which allows to uncouple the calculation of the problem unknowns providing important savings in computational cost. In addition, we include a stabilization technique within the Variational Multi-Scale framework and, in particular, we consider orthogonal and dynamic definitions for the subscales. In order to overcome any wave reflections which may arise in aeroacoustic simulations at the low compressibility regime, we present a method for enforcing boundary conditions based on a combination of a zero order non-reflecting condition plus the weak imposition of Dirichlet boundary conditions over the external contours. Several representative benchmark flow simulations are performed, which demonstrate the suitability of the proposed algorithm for the subsonic regime.Samuel Parada gratefully acknowledges the support received from the Agència de Gestió d'Ajuts Universitaris i de Recerca through the predoctoral FI grant 2019-FI-B-00607. Joan Baiges gratefully acknowledges the support of the Spanish Government through the Ramón y Cajal grant RYC-2015-17367. Ramon Codina gratefully acknowledges the support received from the ICREA Acadèmia Research Program of the Catalan Government. This work was partially funded through the TOP-FSI: RTI2018-098276-B-I00 project of the Spanish Government. CIMNE is a recipient of a “Severo Ochoa Programme for Centers of Excellence in R&D” grant (CEX2018-000797-S) by the Spanish Ministry of Economy and Competitiveness.Peer Reviewed20212021-05-0120212021-04-21journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/344091https://dx.doi.org/10.1016/j.jcp.2020.110017reponame: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 2017-2020 RTI2018-098276-B-I00 OPTIMIZACION TOPOLOGICA DE ESTRUCTURAS SUJETAS A INTERACCION FLUIDO-ESTRUCTURAopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3440912026-05-27T15:37:01Z
dc.title.none.fl_str_mv Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
title Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
spellingShingle Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
Parada Bustelo, Samuel|||0000-0003-0185-350X
Navier-Stokes equations--Numerical solutions
Compressible flow
Variational multiscale method
Fractional step schemes
Finite element method
Weak imposition of boundary conditions
Equacions de Navier-Stokes -- Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
title_full Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
title_fullStr Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
title_full_unstemmed Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
title_sort Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations
dc.creator.none.fl_str_mv Parada Bustelo, Samuel|||0000-0003-0185-350X
Codina, Ramon|||0000-0002-7412-778X
Baiges Aznar, Joan|||0000-0002-3940-5887
author Parada Bustelo, Samuel|||0000-0003-0185-350X
author_facet Parada Bustelo, Samuel|||0000-0003-0185-350X
Codina, Ramon|||0000-0002-7412-778X
Baiges Aznar, Joan|||0000-0002-3940-5887
author_role author
author2 Codina, Ramon|||0000-0002-7412-778X
Baiges Aznar, Joan|||0000-0002-3940-5887
author2_role author
author
dc.subject.none.fl_str_mv Navier-Stokes equations--Numerical solutions
Compressible flow
Variational multiscale method
Fractional step schemes
Finite element method
Weak imposition of boundary conditions
Equacions de Navier-Stokes -- Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Navier-Stokes equations--Numerical solutions
Compressible flow
Variational multiscale method
Fractional step schemes
Finite element method
Weak imposition of boundary conditions
Equacions de Navier-Stokes -- Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description In this work we address the compressible Navier-Stokes equations written in the so-called primitive formulation. The proposed methodology is a finite-element solver based on a fractional step scheme in time, which allows to uncouple the calculation of the problem unknowns providing important savings in computational cost. In addition, we include a stabilization technique within the Variational Multi-Scale framework and, in particular, we consider orthogonal and dynamic definitions for the subscales. In order to overcome any wave reflections which may arise in aeroacoustic simulations at the low compressibility regime, we present a method for enforcing boundary conditions based on a combination of a zero order non-reflecting condition plus the weak imposition of Dirichlet boundary conditions over the external contours. Several representative benchmark flow simulations are performed, which demonstrate the suitability of the proposed algorithm for the subsonic regime.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-05-01
2021
2021-04-21
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/2117/344091
https://dx.doi.org/10.1016/j.jcp.2020.110017
url https://hdl.handle.net/2117/344091
https://dx.doi.org/10.1016/j.jcp.2020.110017
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 2017-2020 RTI2018-098276-B-I00 OPTIMIZACION TOPOLOGICA DE ESTRUCTURAS SUJETAS A INTERACCION FLUIDO-ESTRUCTURA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
https://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
https://creativecommons.org/licenses/by-nc-nd/4.0/
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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