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

Authors: Brian C. Vermeire; Peter E. Vincent;
APC: 2,781.11 EUR

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

Abstract

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 marginally-resolved 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.

Country
United Kingdom
Related Organizations
Keywords

Technology, reconstruction, Physics and Astronomy (miscellaneous), NAVIER-STOKES EQUATIONS, Direct numerical and large eddy simulation of turbulence, Flux Reconstruction, Large Eddy Simulation, 09 Engineering, 510, TAYLOR-GREEN VORTEX, Interdisciplinary Applications, GRIDS, large eddy, 01 Mathematical Sciences, Flux, Science & Technology, 02 Physical Sciences, Mathematical, Physics, Applied Mathematics, PYFR, 600, stability, simulation, Eddy, Computer Science Applications, flux, Physical Sciences, Computer Science, Large, Reconstruction, Stability, Simulation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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