Stochastic Reynolds theorem and generalized subgrid tensorReport as inadecuate

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1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences IRSTEA - Institut national de recherche en sciences et technologies pour l-environnement et l-agriculture, Inria Rennes – Bretagne Atlantique 2 IFREMER - Institut Français de Recherche pour l-Exploitation de la Mer 3 LOS - Laboratoire d’Oéanographie Spatiale Plouzané

Abstract : We propose a representation that allows decomposing the flow velocity in terms of a smooth component and a highly oscillating random component. This decomposion leads through a stochastic representation of the Reynolds transport theorem to a large-scale expression of the Navier-Stokes equations. In this work we show the benefit of such a representation to construct low order dynamical systems that include naturally a dissipative term related to the action of the small-scale random component.

Author: Valentin Resseguier - Etienne Mémin - Bertrand Chapron -



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