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A face-centred finite volume method for laminar and turbulent incompressible flows

LUAN VIEIRA, Matteo Giacomini Orcid Logo, Rubén Sevilla Orcid Logo, Antonio Huerta

Computers and Fluids, Volume: 279, Start page: 106339

Swansea University Authors: LUAN VIEIRA, Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.compfluid.2024.106339

Abstract

This work develops, for the first time, a face-centred finite volume (FCFV) solver for the simulation of laminar and turbulent viscous incompressible flows. The formulation relies on the Reynolds-averaged Navier-Stokes (RANS) equations coupled with the negative Spalart-Allmaras (SA) model and three...

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Published in: Computers and Fluids
ISSN: 0045-7930
Published: Elsevier BV 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa66709
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spelling v2 66709 2024-06-12 A face-centred finite volume method for laminar and turbulent incompressible flows 53118ba8e77e55452a5228efae6f2fc1 LUAN VIEIRA LUAN VIEIRA true false b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2024-06-12 This work develops, for the first time, a face-centred finite volume (FCFV) solver for the simulation of laminar and turbulent viscous incompressible flows. The formulation relies on the Reynolds-averaged Navier-Stokes (RANS) equations coupled with the negative Spalart-Allmaras (SA) model and three novel convective stabilisations, inspired by Riemann solvers, are derived and compared numerically. The resulting method achieves first-order convergence of the velocity, the velocity-gradient tensor and the pressure. FCFV accurately predicts engineering quantities of interest, such as drag and lift, on unstructured meshes and, by avoiding gradient reconstruction, the method is insensitive to mesh quality, even in the presence of highly distorted and stretched cells. A monolithic and a staggered solution strategies for the RANS-SA system are derived and compared numerically. Numerical benchmarks, involving laminar and turbulent, steady and transient cases are used to assess the performance, accuracy and robustness of the proposed FCFV method. Journal Article Computers and Fluids 279 106339 Elsevier BV 0045-7930 Finite volumes; Face-centred; Incompressible flows; Hybridisable discontinuous Galerkin; Spalart–Allmaras 30 7 2024 2024-07-30 10.1016/j.compfluid.2024.106339 COLLEGE NANME COLLEGE CODE Swansea University SU Library paid the OA fee (TA Institutional Deal) The authors acknowledge the support of: H2020 MSCA ITN-EJD ProTechTion (Grant No. 764636) that partially funded the PhD scholarship of LMV; Spanish Ministry of Science and Innovation and Spanish State Research Agency MCIN/AEI/10.13039/501100011033 (Grants No. PID2020-113463RB-C33 to MG, PID2020-113463RB-C32 to AH and CEX2018-000797-S to MG and AH); Generalitat de Catalunya (Grant No. 2021-SGR-01049 to MG and AH); MG is Fellow of the Serra Húnter Programme of the Generalitat de Catalunya. 2024-06-27T16:25:45.1041834 2024-06-12T09:27:17.4324645 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering LUAN VIEIRA 1 Matteo Giacomini 0000-0001-6094-5944 2 Rubén Sevilla 0000-0002-0061-6214 3 Antonio Huerta 4 66709__30774__30146a256d784cb7a0a4db895f282b7b.pdf 66709.VoR.pdf 2024-06-27T16:24:13.8947629 Output 5060044 application/pdf Version of Record true © 2024 The Author(s). This is an open access article under the CC BY license. true eng http://creativecommons.org/licenses/by/4.0/
title A face-centred finite volume method for laminar and turbulent incompressible flows
spellingShingle A face-centred finite volume method for laminar and turbulent incompressible flows
LUAN VIEIRA
Rubén Sevilla
title_short A face-centred finite volume method for laminar and turbulent incompressible flows
title_full A face-centred finite volume method for laminar and turbulent incompressible flows
title_fullStr A face-centred finite volume method for laminar and turbulent incompressible flows
title_full_unstemmed A face-centred finite volume method for laminar and turbulent incompressible flows
title_sort A face-centred finite volume method for laminar and turbulent incompressible flows
author_id_str_mv 53118ba8e77e55452a5228efae6f2fc1
b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv 53118ba8e77e55452a5228efae6f2fc1_***_LUAN VIEIRA
b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author LUAN VIEIRA
Rubén Sevilla
author2 LUAN VIEIRA
Matteo Giacomini
Rubén Sevilla
Antonio Huerta
format Journal article
container_title Computers and Fluids
container_volume 279
container_start_page 106339
publishDate 2024
institution Swansea University
issn 0045-7930
doi_str_mv 10.1016/j.compfluid.2024.106339
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 - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
active_str 0
description This work develops, for the first time, a face-centred finite volume (FCFV) solver for the simulation of laminar and turbulent viscous incompressible flows. The formulation relies on the Reynolds-averaged Navier-Stokes (RANS) equations coupled with the negative Spalart-Allmaras (SA) model and three novel convective stabilisations, inspired by Riemann solvers, are derived and compared numerically. The resulting method achieves first-order convergence of the velocity, the velocity-gradient tensor and the pressure. FCFV accurately predicts engineering quantities of interest, such as drag and lift, on unstructured meshes and, by avoiding gradient reconstruction, the method is insensitive to mesh quality, even in the presence of highly distorted and stretched cells. A monolithic and a staggered solution strategies for the RANS-SA system are derived and compared numerically. Numerical benchmarks, involving laminar and turbulent, steady and transient cases are used to assess the performance, accuracy and robustness of the proposed FCFV method.
published_date 2024-07-30T16:25:45Z
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score 11.037603

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