Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids

This study investigates the resolution requirements for direct numerical simulation (DNS) of high-pressure transcritical wall-bounded turbulence, focusing on channel and square duct flow configurations subjected to cold (cw) and hot (hw) walls. The applicability of traditional DNS resolution standar...

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Authors: Bandarrinha Monteiro, Carlos Alexandre, Jofre Cruanyes, Lluís|||0000-0003-2437-259X
Format: article
Publication Date:2024
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/420915
Online Access:https://hdl.handle.net/2117/420915
https://dx.doi.org/10.1063/5.0244472
Access Level:Open access
Keyword:Supercritical fluids
Thermodynamic properties
Fluid mechanics
Computational fluid dynamics
Turbulent flows
Fluids supercrítics
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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oai_identifier_str oai:upcommons.upc.edu:2117/420915
network_acronym_str ES
network_name_str España
repository_id_str
spelling Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluidsBandarrinha Monteiro, Carlos AlexandreJofre Cruanyes, Lluís|||0000-0003-2437-259XSupercritical fluidsThermodynamic propertiesFluid mechanicsComputational fluid dynamicsTurbulent flowsFluids supercríticsÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsThis study investigates the resolution requirements for direct numerical simulation (DNS) of high-pressure transcritical wall-bounded turbulence, focusing on channel and square duct flow configurations subjected to cold (cw) and hot (hw) walls. The applicability of traditional DNS resolution standards to capture first- and second-order flow statistics is critically assessed, emphasizing the complex thermodynamic and hydrodynamic interactions in transcritical fluid regimes. A comprehensive analysis, incorporating spectrograms, dissipation rate distributions, and distribution of Kolmogorov (gu), Batchelor (gT), and density-gradient (drq) scales has been conducted. The findings reveal that underresolved grids significantly underestimate the intensity and proximity of the pseudo-boiling region to the hot wall, particularly in channel flows where lateral confinement is absent. In contrast, square duct flows benefit from secondary flow motions, which stabilize and stratify structures in the pseudo-boiling region. Using “traditionally standard” grid resolutions, first-order velocity and temperature statistics are captured with errors generally below 2%. However, significant discrepancies arise in the turbulent fluctuations, particularly related to energy dissipation for under-resolved cases. To address these issues, the “standard” grid resolution has been refined to better capture local property gradients, their variance, and resulting hydrodynamic and thermophysical scales. For channel flows, the proposed grid features wall-normal resolution requirements of Dyþ hw < 1 and Dy=gu, Dy=gT 3:5, with streamwise resolutions of Dxþ cw 8, Dxþ hw < 10:0 and Dx=gu, Dx=gT 9:0. Spanwise resolutions are limited to Dzþ cw < 2:5, Dzþ hw < 3:4 and Dz=gu, Dz=gu 3:5. Slightly larger values are applicable for square duct flows. Finally, the resolution requirements obtained are applicable to a wide range of fluids, thermophysical regimes and flow geometries.This work is funded by the European Union (ERC, SCRAMBLE, 101040379). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. The authors also acknowledge support from the SGR program (2021-SGR-01045) of the Generalitat de Catalunya (Spain), and the computer resources at FinisTerrae III & MareNostrum and the technical support provided by CESGA & Barcelona Supercomputing Center (RES-IM-2023-1-0005 and RES-IM-2023-2-0005).Peer Reviewed20242024-12-0120242024-12-18journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/420915https://dx.doi.org/10.1063/5.0244472reponame: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:2117/4209152026-05-27T15:37:01Z
dc.title.none.fl_str_mv Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
title Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
spellingShingle Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
Bandarrinha Monteiro, Carlos Alexandre
Supercritical fluids
Thermodynamic properties
Fluid mechanics
Computational fluid dynamics
Turbulent flows
Fluids supercrítics
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
title_full Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
title_fullStr Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
title_full_unstemmed Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
title_sort Resolution standards for direct numerical simulation of wall turbulence in high-pressure transcritical fluids
dc.creator.none.fl_str_mv Bandarrinha Monteiro, Carlos Alexandre
Jofre Cruanyes, Lluís|||0000-0003-2437-259X
author Bandarrinha Monteiro, Carlos Alexandre
author_facet Bandarrinha Monteiro, Carlos Alexandre
Jofre Cruanyes, Lluís|||0000-0003-2437-259X
author_role author
author2 Jofre Cruanyes, Lluís|||0000-0003-2437-259X
author2_role author
dc.subject.none.fl_str_mv Supercritical fluids
Thermodynamic properties
Fluid mechanics
Computational fluid dynamics
Turbulent flows
Fluids supercrítics
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Supercritical fluids
Thermodynamic properties
Fluid mechanics
Computational fluid dynamics
Turbulent flows
Fluids supercrítics
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description This study investigates the resolution requirements for direct numerical simulation (DNS) of high-pressure transcritical wall-bounded turbulence, focusing on channel and square duct flow configurations subjected to cold (cw) and hot (hw) walls. The applicability of traditional DNS resolution standards to capture first- and second-order flow statistics is critically assessed, emphasizing the complex thermodynamic and hydrodynamic interactions in transcritical fluid regimes. A comprehensive analysis, incorporating spectrograms, dissipation rate distributions, and distribution of Kolmogorov (gu), Batchelor (gT), and density-gradient (drq) scales has been conducted. The findings reveal that underresolved grids significantly underestimate the intensity and proximity of the pseudo-boiling region to the hot wall, particularly in channel flows where lateral confinement is absent. In contrast, square duct flows benefit from secondary flow motions, which stabilize and stratify structures in the pseudo-boiling region. Using “traditionally standard” grid resolutions, first-order velocity and temperature statistics are captured with errors generally below 2%. However, significant discrepancies arise in the turbulent fluctuations, particularly related to energy dissipation for under-resolved cases. To address these issues, the “standard” grid resolution has been refined to better capture local property gradients, their variance, and resulting hydrodynamic and thermophysical scales. For channel flows, the proposed grid features wall-normal resolution requirements of Dyþ hw < 1 and Dy=gu, Dy=gT 3:5, with streamwise resolutions of Dxþ cw 8, Dxþ hw < 10:0 and Dx=gu, Dx=gT 9:0. Spanwise resolutions are limited to Dzþ cw < 2:5, Dzþ hw < 3:4 and Dz=gu, Dz=gu 3:5. Slightly larger values are applicable for square duct flows. Finally, the resolution requirements obtained are applicable to a wide range of fluids, thermophysical regimes and flow geometries.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-12-01
2024
2024-12-18
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/2117/420915
https://dx.doi.org/10.1063/5.0244472
url https://hdl.handle.net/2117/420915
https://dx.doi.org/10.1063/5.0244472
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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