On the properties of energy stable flux reconstruction schemes for implicit large eddy simulation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:327

Article

Vermeire, B. C.¹  Vincent, P. E.¹ 

[1] Imperial Coll London, Dept Aeronaut, London SW7 2AZ, England

关键词: Flux;    Reconstruction;    Large;    Eddy;    Simulation;    Stability;   

DOI  :  10.1016/j.jcp.2016.09.034

来源: Elsevier

【 摘 要 】

We begin by investigating the stability, order of accuracy, and dispersion and dissipation characteristics of the extended range of energy stable flux reconstruction (E-ESFR) schemes in the context of implicit large eddy simulation (ILES). We proceed to demonstrate that subsets of the E-ESFR schemes are more stable than collocation nodal discontinuous Galerkin methods recovered with the flux reconstruction approach (FRDG) for marginallyresolved ILES simulations of the Taylor-Green vortex. These schemes are shown to have reduced dissipation and dispersion errors relative to FRDG schemes of the same polynomial degree and, simultaneously, have increased Courant-Friedrichs-Lewy (CFL) limits. Finally, we simulate turbulent flow over an SD7003 aerofoil using two of the most stable E-ESFR schemes identified by the aforementioned Taylor-Green vortex experiments. Results demonstrate that subsets of E-ESFR schemes appear more stable than the commonly used FRDG method, have increased CFL limits, and are suitable for ILES of complex turbulent flows on unstructured grids. (C) 2016 The Author(s). Published by Elsevier Inc.

【 授权许可】

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