Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations

In this work, we propose Runge-Kutta time integration schemes for the incompressible Navier-Stokes equations with two salient properties. First, velocity and pressure computations are segregated at the time integration level, without the need to perform additional fractional step techniques that spo...

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Detalles Bibliográficos
Autores: Colomés Gené, Oriol, Badia, Santiago|||0000-0003-2391-4086
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:2117/86545
Acceso en línea:https://hdl.handle.net/2117/86545
https://dx.doi.org/10.1002/nme.4987
Access Level:acceso abierto
Palabra clave:Navier-Stokes equations
Fluid dynamics
Adaptive time stepping
High-order
Incompressible Navier-Stokes
Pressure-segregation
Runge-Kutta
Time integration
Equacions de Navier-Stokes
Dinàmica de fluids
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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oai_identifier_str oai:upcommons.upc.edu:2117/86545
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spelling Segregated Runge-Kutta methods for the incompressible Navier-Stokes equationsColomés Gené, OriolBadia, Santiago|||0000-0003-2391-4086Navier-Stokes equationsFluid dynamicsAdaptive time steppingHigh-orderIncompressible Navier-StokesPressure-segregationRunge-KuttaTime integrationEquacions de Navier-StokesDinàmica de fluidsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsIn this work, we propose Runge-Kutta time integration schemes for the incompressible Navier-Stokes equations with two salient properties. First, velocity and pressure computations are segregated at the time integration level, without the need to perform additional fractional step techniques that spoil high orders of accuracy. Second, the proposed methods keep the same order of accuracy for both velocities and pressures. The segregated Runge-Kutta methods are motivated as an implicit-explicit Runge-Kutta time integration of the projected Navier-Stokes system onto the discrete divergence-free space, and its re-statement in a velocity-pressure setting using a discrete pressure Poisson equation. We have analysed the preservation of the discrete divergence constraint for segregated Runge-Kutta methods and their relation (in their fully explicit version) with existing half-explicit methods. We have performed a detailed numerical experimentation for a wide set of schemes (from first to third order), including implicit and IMEX integration of viscous and convective terms, for incompressible laminar and turbulent flows. Further, segregated Runge-Kutta schemes with adaptive time stepping are proposed.John Wiley & Sons20162016-02-0320162016-05-04journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/86545https://dx.doi.org/10.1002/nme.4987reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/865452026-05-27T15:37:01Z
dc.title.none.fl_str_mv Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
title Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
spellingShingle Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
Colomés Gené, Oriol
Navier-Stokes equations
Fluid dynamics
Adaptive time stepping
High-order
Incompressible Navier-Stokes
Pressure-segregation
Runge-Kutta
Time integration
Equacions de Navier-Stokes
Dinàmica de fluids
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
title_full Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
title_fullStr Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
title_full_unstemmed Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
title_sort Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
dc.creator.none.fl_str_mv Colomés Gené, Oriol
Badia, Santiago|||0000-0003-2391-4086
author Colomés Gené, Oriol
author_facet Colomés Gené, Oriol
Badia, Santiago|||0000-0003-2391-4086
author_role author
author2 Badia, Santiago|||0000-0003-2391-4086
author2_role author
dc.subject.none.fl_str_mv Navier-Stokes equations
Fluid dynamics
Adaptive time stepping
High-order
Incompressible Navier-Stokes
Pressure-segregation
Runge-Kutta
Time integration
Equacions de Navier-Stokes
Dinàmica de fluids
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Navier-Stokes equations
Fluid dynamics
Adaptive time stepping
High-order
Incompressible Navier-Stokes
Pressure-segregation
Runge-Kutta
Time integration
Equacions de Navier-Stokes
Dinàmica de fluids
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description In this work, we propose Runge-Kutta time integration schemes for the incompressible Navier-Stokes equations with two salient properties. First, velocity and pressure computations are segregated at the time integration level, without the need to perform additional fractional step techniques that spoil high orders of accuracy. Second, the proposed methods keep the same order of accuracy for both velocities and pressures. The segregated Runge-Kutta methods are motivated as an implicit-explicit Runge-Kutta time integration of the projected Navier-Stokes system onto the discrete divergence-free space, and its re-statement in a velocity-pressure setting using a discrete pressure Poisson equation. We have analysed the preservation of the discrete divergence constraint for segregated Runge-Kutta methods and their relation (in their fully explicit version) with existing half-explicit methods. We have performed a detailed numerical experimentation for a wide set of schemes (from first to third order), including implicit and IMEX integration of viscous and convective terms, for incompressible laminar and turbulent flows. Further, segregated Runge-Kutta schemes with adaptive time stepping are proposed.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-02-03
2016
2016-05-04
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/2117/86545
https://dx.doi.org/10.1002/nme.4987
url https://hdl.handle.net/2117/86545
https://dx.doi.org/10.1002/nme.4987
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
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.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
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 15,300724

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