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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
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.
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https://hal.inria.fr/hal-01238281
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Submitted on : Tuesday, December 8, 2015 - 10:59:54 AM
Last modification on : Tuesday, March 30, 2021 - 12:26:19 PM
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Valentin Resseguier, Etienne Mémin, Bertrand Chapron. Stochastic Reynolds theorem and generalized subgrid tensor. 15th European Turbulence Conference 2015, Aug 2015, Delft, Netherlands. ⟨hal-01238281⟩

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