Large Eddy Simulation relies on a scale separation which aims at resolving only the largest energy-carrying scales, while small scales are discarded. However, specific applications require to know explicitly the information carried by the smallest scales, e.g., in a coupled fluid-particle simulation where the action of the smallest eddies on small particles can be significant [1]. It therefore appears necessary to reconstruct the small unresolved scales. This study proposes a way to recover the unresolved information when explicit filtering is introduced. Section 2 details the triple-scale decomposition introduced in this case, between resolved, sub-filter and subgrid scales. Section 3 investigates the use of the Approximate Deconvolution Method (ADM) to reconstruct the sub-filter field. In Section 4, an original method using two deconvolution levels is proposed to get local estimates of the subgrid kinetic energy. The main conclusions and perspectives from this study are summarized in the last section of this paper.
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