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A non-oscillatory face-centred finite volume method for compressible flows

Jordi Vila-Pérez, Matteo Giacomini, Rubén Sevilla Orcid Logo, Antonio Huerta

Computers & Fluids, Volume: 235, Start page: 105272

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.compfluid.2021.105272

Abstract

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 define...

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Published in: Computers & Fluids
ISSN: 0045-7930
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa58994
first_indexed 2021-12-10T09:53:04Z
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spelling 2022-10-31T19:19:11.0563115 v2 58994 2021-12-10 A non-oscillatory face-centred finite volume method for compressible flows b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2021-12-10 ACEM 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 resultingmethodology 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 theapproximation 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 Machnumber, 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. Journal Article Computers & Fluids 235 105272 Elsevier BV 0045-7930 Finite volume method, face-centred, hybridisable discontinuous Galerkin, compressible flows, Riemann solvers, incompressible limit 15 3 2022 2022-03-15 10.1016/j.compfluid.2021.105272 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 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. (MDM- 2014-0445), 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. 2022-10-31T19:19:11.0563115 2021-12-10T09:49:26.8220254 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Jordi Vila-Pérez 1 Matteo Giacomini 2 Rubén Sevilla 0000-0002-0061-6214 3 Antonio Huerta 4 58994__22202__95c77257af1e4f8db47136e68d3eb7cc.pdf 58994_VOR.pdf 2022-01-24T11:27:22.1587489 Output 7775059 application/pdf Version of Record true © 2022 The Authors. This is an open access article under the CC BY license true eng http://creativecommons.org/licenses/by/4.0/
title A non-oscillatory face-centred finite volume method for compressible flows
spellingShingle A non-oscillatory face-centred finite volume method for compressible flows
Rubén Sevilla
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
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Jordi Vila-Pérez
Matteo Giacomini
Rubén Sevilla
Antonio Huerta
format Journal article
container_title Computers & Fluids
container_volume 235
container_start_page 105272
publishDate 2022
institution Swansea University
issn 0045-7930
doi_str_mv 10.1016/j.compfluid.2021.105272
publisher Elsevier BV
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
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description 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 resultingmethodology 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 theapproximation 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 Machnumber, 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.
published_date 2022-03-15T08:03:57Z
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score 11.231748

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