Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid

Boundary treatment algorithms, for the curved boundaries and tree grid virtual ones employed in lattice Boltzmann method (LBM) related applications, are very important to numerical performance. In order to make them theoretically more accurate and related to the physical realities, two modified new...

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Detalles Bibliográficos
Autores: An, Bo|||0000-0001-8738-2504, Bergadà Granyó, Josep Maria|||0000-0003-1787-7960, Li, D, Sang, WM
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:2117/391692
Acceso en línea:https://hdl.handle.net/2117/391692
https://dx.doi.org/10.1016/j.camwa.2023.06.020
Access Level:acceso abierto
Palabra clave:Fluid dynamics
Computational fluid dynamics
LBM
Curved boundary
Virtual boundary
Tree grid
Novel algorithms
Dinàmica de fluids
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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repository_id_str
spelling Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree gridAn, Bo|||0000-0001-8738-2504Bergadà Granyó, Josep Maria|||0000-0003-1787-7960Li, DSang, WMFluid dynamicsComputational fluid dynamicsLBMCurved boundaryVirtual boundaryTree gridNovel algorithmsDinàmica de fluidsDinàmica de fluids computacionalÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsBoundary treatment algorithms, for the curved boundaries and tree grid virtual ones employed in lattice Boltzmann method (LBM) related applications, are very important to numerical performance. In order to make them theoretically more accurate and related to the physical realities, two modified new algorithms are presented in this paper. For the curved wall boundary treatment, the novelty resides in the method to construct the distribution functions. Compared with other popular algorithms, a pre-processing procedure is introduced in the improved algorithm involving both linear inner and outer interpolations which covers more neighbouring points to collect comprehensive information. Based on the constructed distribution functions, the velocity components and density on the target points are calculated. Finally, using the velocities and density determined to calculate the equilibrium distribution functions, the non-equilibrium distribution functions are obtained through a combination of both inner and outer interpolation of the neighbouring related points. The embedded depth Δ of each wall boundary point is treated individually, not by a rough classification like, Δ < 0.5||Δ = 0.5 or Δ < 0.75||Δ = 0.75 used in some other algorithms. For the tree grid virtual boundary treatment, compared with a previous algorithm introduced by present authors, the modified new algorithm considers comprehensive information from more neighbouring related points to interpolate velocities and density. The distribution functions are calculated through a bidirectional extrapolation both from coarse to fine mesh and from fine to coarse one. It is proved that these two improved algorithms are trustable and have a good numerical performanceThis research was founded by the project provided by the Northwestern Polytechnical University (G2021KY05103). This work was also sponsored by the foundation of National Key Laboratory of Science and Technology on Aerodynamic Design and Research (No.614220121030101)20232023-09-0120232023-07-19journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/391692https://dx.doi.org/10.1016/j.camwa.2023.06.020reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3916922026-05-27T15:37:01Z
dc.title.none.fl_str_mv Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
title Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
spellingShingle Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
An, Bo|||0000-0001-8738-2504
Fluid dynamics
Computational fluid dynamics
LBM
Curved boundary
Virtual boundary
Tree grid
Novel algorithms
Dinàmica de fluids
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
title_full Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
title_fullStr Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
title_full_unstemmed Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
title_sort Modified algorithms for curved and virtual boundaries in Lattice Boltzmann method applications based on tree grid
dc.creator.none.fl_str_mv An, Bo|||0000-0001-8738-2504
Bergadà Granyó, Josep Maria|||0000-0003-1787-7960
Li, D
Sang, WM
author An, Bo|||0000-0001-8738-2504
author_facet An, Bo|||0000-0001-8738-2504
Bergadà Granyó, Josep Maria|||0000-0003-1787-7960
Li, D
Sang, WM
author_role author
author2 Bergadà Granyó, Josep Maria|||0000-0003-1787-7960
Li, D
Sang, WM
author2_role author
author
author
dc.subject.none.fl_str_mv Fluid dynamics
Computational fluid dynamics
LBM
Curved boundary
Virtual boundary
Tree grid
Novel algorithms
Dinàmica de fluids
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Fluid dynamics
Computational fluid dynamics
LBM
Curved boundary
Virtual boundary
Tree grid
Novel algorithms
Dinàmica de fluids
Dinàmica de fluids computacional
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description Boundary treatment algorithms, for the curved boundaries and tree grid virtual ones employed in lattice Boltzmann method (LBM) related applications, are very important to numerical performance. In order to make them theoretically more accurate and related to the physical realities, two modified new algorithms are presented in this paper. For the curved wall boundary treatment, the novelty resides in the method to construct the distribution functions. Compared with other popular algorithms, a pre-processing procedure is introduced in the improved algorithm involving both linear inner and outer interpolations which covers more neighbouring points to collect comprehensive information. Based on the constructed distribution functions, the velocity components and density on the target points are calculated. Finally, using the velocities and density determined to calculate the equilibrium distribution functions, the non-equilibrium distribution functions are obtained through a combination of both inner and outer interpolation of the neighbouring related points. The embedded depth Δ of each wall boundary point is treated individually, not by a rough classification like, Δ < 0.5||Δ = 0.5 or Δ < 0.75||Δ = 0.75 used in some other algorithms. For the tree grid virtual boundary treatment, compared with a previous algorithm introduced by present authors, the modified new algorithm considers comprehensive information from more neighbouring related points to interpolate velocities and density. The distribution functions are calculated through a bidirectional extrapolation both from coarse to fine mesh and from fine to coarse one. It is proved that these two improved algorithms are trustable and have a good numerical performance
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-09-01
2023
2023-07-19
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/2117/391692
https://dx.doi.org/10.1016/j.camwa.2023.06.020
url https://hdl.handle.net/2117/391692
https://dx.doi.org/10.1016/j.camwa.2023.06.020
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-NoDerivatives 4.0 International
http://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-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/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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