Stochastic Reynolds theorem and generalized subgrid tensor

Valentin Resseguier (1, 2) , Etienne Mémin (1) , Bertrand Chapron (3)

1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
2 IFREMER - Institut Français de Recherche pour l'Exploitation de la Mer
3 LOS - Laboratoire d'Océanographie Spatiale

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.

Domaines: Mécanique des fluides [physics.class-ph]; Dynamique Chaotique [nlin.CD]; Probabilités [math.PR]

Valentin Resseguier, Etienne Mémin, Bertrand Chapron. Stochastic Reynolds theorem and generalized subgrid tensor. 15th European Turbulence Conference 2015, Aug 2015, Delft, Netherlands. ⟨hal-01238281⟩