Local preconditioning and variational multiscale stabilization for Euler compressible steady flow

This paper introduces a preconditioned variational multiscale stabilization (P-VMS) method for compressible flows. In this introductory paper we focus on inviscid flow and steady state problems. The Euler equations are solved on fully unstructured grids and discretized using the finite element metho...

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Detalles Bibliográficos
Autores: Moragues, Margarida, Vázquez, Mariano|||0000-0002-2526-6708, Houzeaux, Guillaume|||0000-0002-2592-1426
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/85185
Acceso en línea:https://hdl.handle.net/2117/85185
https://dx.doi.org/10.1016/j.cma.2016.02.027
Access Level:acceso abierto
Palabra clave:Multiscale modeling--Computer simulation
Equations--Data processing
Navier-Stokes equations
Local preconditioning
Variational multiscale method
Finite elements
Euler equations
Compressible flow
Steady flow problems
Equacions de Navier-Stokes
Dinàmica de fluids
Equacions diferencials parcials
Àrees temàtiques de la UPC::Enginyeria mecànica
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oai_identifier_str oai:upcommons.upc.edu:2117/85185
network_acronym_str ES
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repository_id_str
spelling Local preconditioning and variational multiscale stabilization for Euler compressible steady flowMoragues, MargaridaVázquez, Mariano|||0000-0002-2526-6708Houzeaux, Guillaume|||0000-0002-2592-1426Multiscale modeling--Computer simulationEquations--Data processingNavier-Stokes equationsLocal preconditioningVariational multiscale methodFinite elementsEuler equationsCompressible flowSteady flow problemsEquacions de Navier-StokesDinàmica de fluidsEquacions diferencials parcialsÀrees temàtiques de la UPC::Enginyeria mecànicaThis paper introduces a preconditioned variational multiscale stabilization (P-VMS) method for compressible flows. In this introductory paper we focus on inviscid flow and steady state problems. The Euler equations are solved on fully unstructured grids and discretized using the finite element method. The P-VMS method can be decomposed in three parts. First, a local preconditioner is applied to the continuous equations to reduce the stiffness while covering a wide range of Mach numbers. Then, the resulting preconditioned system is discretized in space using finite elements and stabilized with a variational multiscale stabilization method adapted for the preconditioned equations. In this paper, the solution is advanced in time using a fully explicit time discretization, although P-VMS is general and can be applied to fully implicit solvers. The proposed method is assessed by comparing convergence and accuracy of the solutions between the non-preconditioned and preconditioned cases, in particular for van Leer-Lee-Roe’s and Choi-Merkle’s preconditioners, in some selected examples covering a large range of Mach numbers.Peer ReviewedElsevier20162016-01-0120162016-04-05journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/85185https://dx.doi.org/10.1016/j.cma.2016.02.027reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 4.0 International Licensehttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/851852026-05-27T15:37:01Z
dc.title.none.fl_str_mv Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
title Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
spellingShingle Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
Moragues, Margarida
Multiscale modeling--Computer simulation
Equations--Data processing
Navier-Stokes equations
Local preconditioning
Variational multiscale method
Finite elements
Euler equations
Compressible flow
Steady flow problems
Equacions de Navier-Stokes
Dinàmica de fluids
Equacions diferencials parcials
Àrees temàtiques de la UPC::Enginyeria mecànica
title_short Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
title_full Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
title_fullStr Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
title_full_unstemmed Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
title_sort Local preconditioning and variational multiscale stabilization for Euler compressible steady flow
dc.creator.none.fl_str_mv Moragues, Margarida
Vázquez, Mariano|||0000-0002-2526-6708
Houzeaux, Guillaume|||0000-0002-2592-1426
author Moragues, Margarida
author_facet Moragues, Margarida
Vázquez, Mariano|||0000-0002-2526-6708
Houzeaux, Guillaume|||0000-0002-2592-1426
author_role author
author2 Vázquez, Mariano|||0000-0002-2526-6708
Houzeaux, Guillaume|||0000-0002-2592-1426
author2_role author
author
dc.subject.none.fl_str_mv Multiscale modeling--Computer simulation
Equations--Data processing
Navier-Stokes equations
Local preconditioning
Variational multiscale method
Finite elements
Euler equations
Compressible flow
Steady flow problems
Equacions de Navier-Stokes
Dinàmica de fluids
Equacions diferencials parcials
Àrees temàtiques de la UPC::Enginyeria mecànica
topic Multiscale modeling--Computer simulation
Equations--Data processing
Navier-Stokes equations
Local preconditioning
Variational multiscale method
Finite elements
Euler equations
Compressible flow
Steady flow problems
Equacions de Navier-Stokes
Dinàmica de fluids
Equacions diferencials parcials
Àrees temàtiques de la UPC::Enginyeria mecànica
description This paper introduces a preconditioned variational multiscale stabilization (P-VMS) method for compressible flows. In this introductory paper we focus on inviscid flow and steady state problems. The Euler equations are solved on fully unstructured grids and discretized using the finite element method. The P-VMS method can be decomposed in three parts. First, a local preconditioner is applied to the continuous equations to reduce the stiffness while covering a wide range of Mach numbers. Then, the resulting preconditioned system is discretized in space using finite elements and stabilized with a variational multiscale stabilization method adapted for the preconditioned equations. In this paper, the solution is advanced in time using a fully explicit time discretization, although P-VMS is general and can be applied to fully implicit solvers. The proposed method is assessed by comparing convergence and accuracy of the solutions between the non-preconditioned and preconditioned cases, in particular for van Leer-Lee-Roe’s and Choi-Merkle’s preconditioners, in some selected examples covering a large range of Mach numbers.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
2016
2016-04-05
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/2117/85185
https://dx.doi.org/10.1016/j.cma.2016.02.027
url https://hdl.handle.net/2117/85185
https://dx.doi.org/10.1016/j.cma.2016.02.027
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 4.0 International License
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-NoDerivs 4.0 International License
https://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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score 15,300719

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