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This brief is organized as follows. In Section 2 we introduce thefilter-scale energy equations that lead to the subfilter-scale dissipation termP. We discuss the properties of the sources and sinks of kinetic energy, andidentify our target features concerning an optimal inter-scale energy transfer(ISET) term. A similar analysis is performed in Section 3 for the kineticenergy associated with the subfilter velocities, and a new ISET term T isintroduced. Comparisons between T and P for different flows and for variousfilters are offered in Section 4 and Section 5. Finally, we present ourconclusions in Section 6.

Inter-scale energy transfer in turbulence from the viewpoint of subfilter scales