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.
https://hal.inria.fr/hal-01238281 Contributor : valentin resseguierConnect in order to contact the contributor Submitted on : Tuesday, December 8, 2015 - 10:59:54 AM Last modification on : Thursday, March 17, 2022 - 2:00:15 PM Long-term archiving on: : Saturday, April 29, 2017 - 4:41:12 AM