Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence

Helicity is the scalar product between velocity and vorticity and, just like energy, its integral is an inviscid invariant of the three-dimensional incompressible Navier-Stokes equations. However, space- and time-discretization methods typically corrupt this prop- erty, leading to violation of the i...

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Detalles Bibliográficos
Autor: Capuano, Francesco|||0000-0003-0274-5260
Tipo de recurso: artículo
Fecha de publicación:2018
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:2117/365100
Acceso en línea:https://hdl.handle.net/2117/365100
https://dx.doi.org/10.1007/s10494-018-9939-x
Access Level:acceso abierto
Palabra clave:Turbulence
Helicity
Discrete conservation properties
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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spelling Effects of discrete energy and helicity conservation in numerical simulations of helical turbulenceCapuano, Francesco|||0000-0003-0274-5260TurbulenceHelicityDiscrete conservation propertiesTurbulenceTurbulènciaÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsHelicity is the scalar product between velocity and vorticity and, just like energy, its integral is an inviscid invariant of the three-dimensional incompressible Navier-Stokes equations. However, space- and time-discretization methods typically corrupt this prop- erty, leading to violation of the inviscid conservation principles. This work investigates the discrete helicity conservation properties of spectral and finite-differencing methods, in relation to the form employed for the convective term. Effects due to Runge-Kutta time- advancement schemes are also taken into consideration in the analysis. The theoretical results are proved against inviscid numerical simulations, while a scale-dependent analy- sis of energy, helicity and their non-linear transfers is performed to further characterize the discretization errors of the different forms in forced helical turbulence simulations.Springer20182018-09-0120222022-03-31journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/365100https://dx.doi.org/10.1007/s10494-018-9939-xreponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3651002026-05-27T15:37:01Z
dc.title.none.fl_str_mv Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
title Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
spellingShingle Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
Capuano, Francesco|||0000-0003-0274-5260
Turbulence
Helicity
Discrete conservation properties
Turbulence
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
title_full Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
title_fullStr Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
title_full_unstemmed Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
title_sort Effects of discrete energy and helicity conservation in numerical simulations of helical turbulence
dc.creator.none.fl_str_mv Capuano, Francesco|||0000-0003-0274-5260
author Capuano, Francesco|||0000-0003-0274-5260
author_facet Capuano, Francesco|||0000-0003-0274-5260
author_role author
dc.subject.none.fl_str_mv Turbulence
Helicity
Discrete conservation properties
Turbulence
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Turbulence
Helicity
Discrete conservation properties
Turbulence
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description Helicity is the scalar product between velocity and vorticity and, just like energy, its integral is an inviscid invariant of the three-dimensional incompressible Navier-Stokes equations. However, space- and time-discretization methods typically corrupt this prop- erty, leading to violation of the inviscid conservation principles. This work investigates the discrete helicity conservation properties of spectral and finite-differencing methods, in relation to the form employed for the convective term. Effects due to Runge-Kutta time- advancement schemes are also taken into consideration in the analysis. The theoretical results are proved against inviscid numerical simulations, while a scale-dependent analy- sis of energy, helicity and their non-linear transfers is performed to further characterize the discretization errors of the different forms in forced helical turbulence simulations.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-09-01
2022
2022-03-31
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/365100
https://dx.doi.org/10.1007/s10494-018-9939-x
url https://hdl.handle.net/2117/365100
https://dx.doi.org/10.1007/s10494-018-9939-x
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 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
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