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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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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa66709
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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 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.
Keywords: Finite volumes; Face-centred; Incompressible flows; Hybridisable discontinuous Galerkin; Spalart–Allmaras
College: Faculty of Science and Engineering
Funders: 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.
Start Page: 106339