  In this paper, we apply a specifically designed dissipative spatial filter as
sub-grid scale model within the increasingly popular discontinuous Galerkin
methods and the closely related flux reconstruction high order methods for
large eddy simulation. The parameters of the filter kernel are optimized with
data obtained from direct numerical simulation, that is filtered and used as a
ground truth to fit the overall kinetic energy and dissipation rate over time.
The optimization is carried out for polynomial degree 3 to 10. The optimal
kernels are rigorously tested in the limit of infinite Reynolds number flows
(HIT and Taylor Green Vortex flow). Additionally, a brief extension to plane
turbulent channel flow is given. Besides the overall good performance, the
method is especially attractive in combination with wall modeled LES, because
it avoids the computation of second order derivatives for very high Reynolds
number flows.
