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 CourantFriedrichs-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.