Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime

Numerical simulations of compressible turbulent flows governed by real-gas equations of state, such as high-pressure transcritical flows, are strongly susceptible to instabilities. In addition to the inherent multi-scale nature of the flow, the presence of a pseudo-interface can generate spurious pr...

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Detalles Bibliográficos
Autores: Bernades, Marc|||0000-0003-3761-2038, Jofre Cruanyes, Lluís|||0000-0003-2437-259X, Capuano, Francesco|||0000-0003-0274-5260
Tipo de recurso: artículo
Fecha de publicación:2023
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:2117/393532
Acceso en línea:https://hdl.handle.net/2117/393532
https://dx.doi.org/10.1016/j.jcp.2023.112477
Access Level:acceso abierto
Palabra clave:Supercritical fluids
Energy conservation
Turbulence
Kinetic-energy-preserving schemes
Pressure-equilibrium-preserving schemes
Total energy conservation
High-pressure
Fluids supercrítics
Energia -- Estalvi
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Àrees temàtiques de la UPC::Física::Termodinàmica::Teoria cinètica
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spelling Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regimeBernades, Marc|||0000-0003-3761-2038Jofre Cruanyes, Lluís|||0000-0003-2437-259XCapuano, Francesco|||0000-0003-0274-5260Supercritical fluidsEnergy conservationTurbulenceKinetic-energy-preserving schemesPressure-equilibrium-preserving schemesTotal energy conservationHigh-pressureSupercritical fluidsTurbulenceFluids supercríticsEnergia -- EstalviTurbulènciaÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsÀrees temàtiques de la UPC::Física::Termodinàmica::Teoria cinèticaNumerical simulations of compressible turbulent flows governed by real-gas equations of state, such as high-pressure transcritical flows, are strongly susceptible to instabilities. In addition to the inherent multi-scale nature of the flow, the presence of a pseudo-interface can generate spurious pressure oscillations when conventional schemes are utilized. This study proposes a general framework to derive and analyze discretization methods that are able to preserve kinetic energy by convection, and simultaneously maintain pressure equilibrium in discontinuity-free compressible real-gas flows. The formal analysis reveals that the discrete pressure-equilibrium condition can be fulfilled at most to second-order accuracy, as it requires the spatial differential operator to satisfy a discrete chain rule when total, or internal energy, are directly discretized. A novel class of schemes based on the solution of a pressure equation is thus proposed, which preserves mass, momentum, kinetic energy and pressure equilibrium, but not total energy. Extensive numerical tests of increasing complexity confirm the theoretical predictions, and show that the proposed scheme is capable of providing non-dissipative, stable and oscillation-free simulations, unlike existing methods tailored for the transcritical regime.This work is funded by the European Union (ERC, SCRAMBLE, 101040379).Peer Reviewed20232023-11-1520232023-09-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/393532https://dx.doi.org/10.1016/j.jcp.2023.112477reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengEuropean Commission http://doi.org/10.13039/501100000780 HE 101040379 Turbulence-On-a-Chip: Supercritically Overcoming the Energy Frontier in Microfluidicsopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3935322026-05-27T15:37:01Z
dc.title.none.fl_str_mv Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
title Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
spellingShingle Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
Bernades, Marc|||0000-0003-3761-2038
Supercritical fluids
Energy conservation
Turbulence
Kinetic-energy-preserving schemes
Pressure-equilibrium-preserving schemes
Total energy conservation
High-pressure
Supercritical fluids
Turbulence
Fluids supercrítics
Energia -- Estalvi
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Àrees temàtiques de la UPC::Física::Termodinàmica::Teoria cinètica
title_short Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
title_full Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
title_fullStr Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
title_full_unstemmed Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
title_sort Kinetic-energy- and pressure-equilibrium-preserving schemes for real-gas turbulence in the transcritical regime
dc.creator.none.fl_str_mv Bernades, Marc|||0000-0003-3761-2038
Jofre Cruanyes, Lluís|||0000-0003-2437-259X
Capuano, Francesco|||0000-0003-0274-5260
author Bernades, Marc|||0000-0003-3761-2038
author_facet Bernades, Marc|||0000-0003-3761-2038
Jofre Cruanyes, Lluís|||0000-0003-2437-259X
Capuano, Francesco|||0000-0003-0274-5260
author_role author
author2 Jofre Cruanyes, Lluís|||0000-0003-2437-259X
Capuano, Francesco|||0000-0003-0274-5260
author2_role author
author
dc.subject.none.fl_str_mv Supercritical fluids
Energy conservation
Turbulence
Kinetic-energy-preserving schemes
Pressure-equilibrium-preserving schemes
Total energy conservation
High-pressure
Supercritical fluids
Turbulence
Fluids supercrítics
Energia -- Estalvi
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Àrees temàtiques de la UPC::Física::Termodinàmica::Teoria cinètica
topic Supercritical fluids
Energy conservation
Turbulence
Kinetic-energy-preserving schemes
Pressure-equilibrium-preserving schemes
Total energy conservation
High-pressure
Supercritical fluids
Turbulence
Fluids supercrítics
Energia -- Estalvi
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Àrees temàtiques de la UPC::Física::Termodinàmica::Teoria cinètica
description Numerical simulations of compressible turbulent flows governed by real-gas equations of state, such as high-pressure transcritical flows, are strongly susceptible to instabilities. In addition to the inherent multi-scale nature of the flow, the presence of a pseudo-interface can generate spurious pressure oscillations when conventional schemes are utilized. This study proposes a general framework to derive and analyze discretization methods that are able to preserve kinetic energy by convection, and simultaneously maintain pressure equilibrium in discontinuity-free compressible real-gas flows. The formal analysis reveals that the discrete pressure-equilibrium condition can be fulfilled at most to second-order accuracy, as it requires the spatial differential operator to satisfy a discrete chain rule when total, or internal energy, are directly discretized. A novel class of schemes based on the solution of a pressure equation is thus proposed, which preserves mass, momentum, kinetic energy and pressure equilibrium, but not total energy. Extensive numerical tests of increasing complexity confirm the theoretical predictions, and show that the proposed scheme is capable of providing non-dissipative, stable and oscillation-free simulations, unlike existing methods tailored for the transcritical regime.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-11-15
2023
2023-09-15
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/2117/393532
https://dx.doi.org/10.1016/j.jcp.2023.112477
url https://hdl.handle.net/2117/393532
https://dx.doi.org/10.1016/j.jcp.2023.112477
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission http://doi.org/10.13039/501100000780 HE 101040379 Turbulence-On-a-Chip: Supercritically Overcoming the Energy Frontier in Microfluidics
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/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 4.0 International
http://creativecommons.org/licenses/by/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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score 15,300719

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