A non-oscillatory face-centred finite volume method for compressible flows
© 2022 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| 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:2117/367130 |
| Acceso en línea: | https://hdl.handle.net/2117/367130 https://dx.doi.org/10.1016/j.compfluid.2021.105272 |
| Access Level: | acceso abierto |
| Palabra clave: | Difference equations--Numerical solutions Computer science--Mathematics Finite volume method Face-centred Hybridisable discontinuous Galerkin Compressible flows Riemann solvers Incompressible limit Equacions diferencials--solucions numèriques Informàtica--Matemàtica Classificació AMS::65 Numerical analysis::65L Ordinary differential equations Classificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
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A non-oscillatory face-centred finite volume method for compressible flowsVila Pérez, Jordi|||0000-0003-3164-0863Giacomini, Matteo|||0000-0001-6094-5944Sevilla, RubénAntonio, HuertaDifference equations--Numerical solutionsComputer science--MathematicsFinite volume methodFace-centredHybridisable discontinuous GalerkinCompressible flowsRiemann solversIncompressible limitEquacions diferencials--solucions numèriquesInformàtica--MatemàticaClassificació AMS::65 Numerical analysis::65L Ordinary differential equationsClassificació AMS::68 Computer science::68R Discrete mathematics in relation to computer scienceÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèricaÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències© 2022 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/This work presents the face-centred finite volume (FCFV) paradigm for the simulation of compressible flows. The FCFV method defines the unknowns at the face barycentre and uses a hybridisation procedure to eliminate all the degrees of freedom inside the cells. In addition, Riemann solvers are defined implicitly within the expressions of the numerical fluxes. The resulting methodology provides first-order accurate approximations of the conservative quantities, i.e. density, momentum and energy, as well as of the viscous stress tensor and of the heat flux, without the need of any gradient reconstruction procedure. Hence, the FCFV solver preserves the accuracy of the approximation in presence of distorted and highly stretched cells, providing a solver insensitive to mesh quality. In addition, FCFV is capable of constructing non-oscillatory approximations of sharp discontinuities without resorting to shock capturing or limiting techniques. For flows at low Mach number, the method is robust and is capable of computing accurate solutions in the incompressible limit without the need of introducing specific pressure correction strategies. A set of 2D and 3D benchmarks of external flows is presented to validate the methodology in different flow regimes, from inviscid to viscous laminar flows, from transonic to subsonic incompressible flows, demonstrating its potential to handle compressible flows in realistic scenarios.This work was supported by the Spanish Ministry of Economy and Competitiveness, through the María de Maeztu programme for units of excellence in R&D that financed the PhD fellowship of J.V.P. (MDM2014-0445), the Spanish Ministry of Science and Innovation and the Spanish State Research Agency MCIN/AEI/10.13039/501100011033 (PID2020-113463RB-C33 to M.G., PID2020-113463RB-C32 to A.H., CEX2018-000797-S to A.H. and M.G.), the Generalitat de Catalunya, Spain (2017-SGR-1278 to A.H. and M.G.) and the Engineering and Physical Sciences Research Council, United Kingdom (EP/P033997/1 to R.S.). M.G. also acknowledges the support of the Serra Húnter Programme of the Generalitat de Catalunya.Peer ReviewedElsevier20222022-03-1520222022-05-10journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/367130https://dx.doi.org/10.1016/j.compfluid.2021.105272reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113463RB-C32 INGENIERIA COMPUTACIONAL BASADA EN SIMULACION DE APRENDIZAJE AUTOMATICOopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3671302026-05-27T15:37:01Z |
| dc.title.none.fl_str_mv |
A non-oscillatory face-centred finite volume method for compressible flows |
| title |
A non-oscillatory face-centred finite volume method for compressible flows |
| spellingShingle |
A non-oscillatory face-centred finite volume method for compressible flows Vila Pérez, Jordi|||0000-0003-3164-0863 Difference equations--Numerical solutions Computer science--Mathematics Finite volume method Face-centred Hybridisable discontinuous Galerkin Compressible flows Riemann solvers Incompressible limit Equacions diferencials--solucions numèriques Informàtica--Matemàtica Classificació AMS::65 Numerical analysis::65L Ordinary differential equations Classificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| title_short |
A non-oscillatory face-centred finite volume method for compressible flows |
| title_full |
A non-oscillatory face-centred finite volume method for compressible flows |
| title_fullStr |
A non-oscillatory face-centred finite volume method for compressible flows |
| title_full_unstemmed |
A non-oscillatory face-centred finite volume method for compressible flows |
| title_sort |
A non-oscillatory face-centred finite volume method for compressible flows |
| dc.creator.none.fl_str_mv |
Vila Pérez, Jordi|||0000-0003-3164-0863 Giacomini, Matteo|||0000-0001-6094-5944 Sevilla, Rubén Antonio, Huerta |
| author |
Vila Pérez, Jordi|||0000-0003-3164-0863 |
| author_facet |
Vila Pérez, Jordi|||0000-0003-3164-0863 Giacomini, Matteo|||0000-0001-6094-5944 Sevilla, Rubén Antonio, Huerta |
| author_role |
author |
| author2 |
Giacomini, Matteo|||0000-0001-6094-5944 Sevilla, Rubén Antonio, Huerta |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Difference equations--Numerical solutions Computer science--Mathematics Finite volume method Face-centred Hybridisable discontinuous Galerkin Compressible flows Riemann solvers Incompressible limit Equacions diferencials--solucions numèriques Informàtica--Matemàtica Classificació AMS::65 Numerical analysis::65L Ordinary differential equations Classificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| topic |
Difference equations--Numerical solutions Computer science--Mathematics Finite volume method Face-centred Hybridisable discontinuous Galerkin Compressible flows Riemann solvers Incompressible limit Equacions diferencials--solucions numèriques Informàtica--Matemàtica Classificació AMS::65 Numerical analysis::65L Ordinary differential equations Classificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| description |
© 2022 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022 2022-03-15 2022 2022-05-10 |
| 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/2117/367130 https://dx.doi.org/10.1016/j.compfluid.2021.105272 |
| url |
https://hdl.handle.net/2117/367130 https://dx.doi.org/10.1016/j.compfluid.2021.105272 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.relation.none.fl_str_mv |
Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-113463RB-C32 INGENIERIA COMPUTACIONAL BASADA EN SIMULACION DE APRENDIZAJE AUTOMATICO |
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open access http://purl.org/coar/access_right/c_abf2 Attribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 Attribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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application/pdf |
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Elsevier |
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Elsevier |
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reponame:UPCommons. Portal del coneixement obert de la UPC instname:Universitat Politècnica de Catalunya (UPC) |
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