Large-eddy simulation without filter

The sampling‐based dynamic procedure as tool for higher‐order discretization

“…Analogously for the test level, 2 . C and C i are fully determined by relations (9)-(10), which can be rewritten in every node as…”

“…A sampling formalism for large eddy simulation (LES) was proposed by Winckelmans et al [1] and Knaepen et al [2], which is a projection method for Navier-Stokes equations from continuum space to a discrete space using a sampling operator instead of a filter operator. Since the sampling operator does not commute with spatial derivatives, a closure term appears which represents the loss of information due to the projection on the discrete mesh.…”

“…Since the sampling operator does not commute with spatial derivatives, a closure term appears which represents the loss of information due to the projection on the discrete mesh. In [1,2] a Smagorinsky model was proposed that, by relying on a generalized dynamic procedure, succeeded in accounting for the subgrid scales. The technique is meant to model turbulent subgrid stresses, but as it fundamentally describes the projection error on a discrete mesh, it might as well be used to model the truncation error of the discretization.…”

A family of dynamic finite difference schemes for large-eddy simulation

“…The schemes, inspired by the work of Winckelmans et al [12,13], Debliquy et al [14] and Knaepen et al [15], are constructed by combining Taylor expansions on two different grid resolutions, similar to Richardson Extrapolation. A first attempt of this technique has proven successful for obtaining higher accuracy in laminar flows in Fauconnier et al [16,17].…”

A triple level finite element method for large eddy simulations

“…1 This definition, in form, is different from the LES definition with the traditional filter but it substantially accords with the spirit of LES. The detailed discussion of this issue may be seen in [25]. Based on this definition our major intent is to design such a numerical scheme for Eq.…”