Simulations de l'\'ecoulement turbulent marin avec un mod\`ele de d\'econvolution

TL;DR

This paper introduces a new LES model for simulating turbulent oceanic flows, based on a generalized deconvolution process, with proven existence and uniqueness of solutions and practical numerical simulations.

Contribution

The paper develops a novel LES model using a generalized deconvolution equation, extending the Van Cittert algorithm for oceanic boundary conditions, with theoretical and numerical validation.

Findings

Existence and uniqueness of strong solutions for the proposed LES model

Numerical simulations demonstrating the model's practical effectiveness

Generalization of the Van Cittert deconvolution algorithm for oceanic flows

Abstract

We display a continous equation for the deconvolution process that generalizes the Van Cittert algorithm in the case of oceanic boundary conditions for a given fixed wind. We deduce a LES model for which we have existence and uniqueness of a strong solution. Finally, we display several numerical simulations showing the practical interest of the model.