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On the filtering paradigm for LES of flows with discontinuities

In this paper we have considered, from a theoretical point of view, the large eddy simulation (LES) of turbulent flows embedded with discontinuities like shocks flames, or interfaces. We have identified as main problems the occurence of parasitic contributions when the usual filtering procedure is applied and the disappearance of the jump conditions that are physically related to the discontinuity and must be preserved by the filtering smoothing. Generalized pseudo-jump relations that assume the form of consistency constraints for any possible subgrid model are derived and a particular dynamic approach based on left and right non-centred test filters, which should dynamically eliminate the spurious contributions, is proposed.