Numerical simulations of industrial and geophysical fluid flows cannot usually solve the
exact Navier–Stokes equations. Accordingly, they encompass strong local errors. For some …

We present a variational assimilation technique (4D-Var) to reconstruct time resolved
incompressible turbulent flows from measurements on two orthogonal 2D planes. The …

Deciphering the Role of Small-Scale Inhomogeneity on Geophysical Flow Structuration: A
Stochastic Approach in: Journal of Physical Oceanography Volume 50 Issue 4 (2020) Jump …

Stochastic linear modeling proposed in Tissot, Mémin, and Cavalieri [J. Fluid Mech. 912,
A51 (2021) 0022-1120 10.1017/jfm. 2020.1168] is based on classical conservation laws …

In this paper we analyze the theoretical properties of a stochastic representation of the
incompressible Navier–Stokes equations defined in the framework of the modeling under …

This study is focused on the prediction of coherent structures, propagating within a turbulent
channel flow. We propose a derivation of the linearised problem based on a stochastic …

In this paper, we present a new method to quantify the uncertainty introduced by the drastic
dimensionality reduction commonly practiced in the field of computational fluid dynamics …

Advances in time-resolved three-dimensional Particle Tracking Velocimetry (4D-PTV)
techniques have consistently revealed more accurate Lagrangian particle motions. A novel …

We present here a new stochastic modelling approach in the constitution of fluid flow
reduced-order models. This framework introduces a spatially inhomogeneous random field …

We devise a stochastic Hamiltonian formulation of the water wave problem. This stochastic
representation is built within the framework of the modelling under location uncertainty …