A non-oscillatory face-centred finite volume method for compressible flows
Visualitza/Obre
10.1016/j.compfluid.2021.105272
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/367130
Tipus de documentArticle
Data publicació2022-03-15
EditorElsevier
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
ProjecteINGENIERIA COMPUTACIONAL BASADA EN SIMULACION DE APRENDIZAJE AUTOMATICO (AEI-PID2020-113463RB-C32)
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 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.
Descripció
© 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/
CitacióVila, J. [et al.]. A non-oscillatory face-centred finite volume method for compressible flows. "Computers and fluids", 15 Març 2022, vol. 235, p. 105272.
ISSN0045-7930
Versió de l'editorhttps://www.sciencedirect.com/science/article/pii/S0045793021003686
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