期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 327, 期 -, 页码 368-388出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.09.034
关键词
Flux; Reconstruction; Large; Eddy; Simulation; Stability
资金
- Engineering and Physical Sciences Research Council [EP/K027379/1]
- Hyper Flux project [EP/M50676X/1]
- TILDA (Towards Industrial LES/DNS in Aeronautics - Paving the Way for Future Accurate CFD) project [635962]
- European Union
- Engineering and Physical Sciences Research Council [EP/K027379/1, EP/L000407/1, EP/M50676X/1] Funding Source: researchfish
- EPSRC [EP/L000407/1, EP/K027379/1, EP/M50676X/1] Funding Source: UKRI
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.
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