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 prove local well-posedness in regular spaces and a Beale–Kato–Majda blow-up
criterion for a recently derived stochastic model of the 3D Euler fluid equation for …

Stochastic subgrid parameterizations enable ensemble forecasts of fluid dynamic systems
and ultimately accurate data assimilation (DA). Stochastic advection by Lie transport (SALT) …

Motivated by the concept of “location uncertainty”, initially introduced in, a scheme is sought
to perturb the “location” of a state variable at every forecast time step. Further considering …

Two different types of perturbations of the Lorenz 63 dynamical system for Rayleigh–Bénard
convection by multiplicative noise—called stochastic advection by Lie transport (SALT) …

Numerical simulations are a powerful tool to investigate turbulent flows, both for theoretical
studies and practical applications. The reliability of a simulation is mainly dependent on the …

A Richardson triple is an ideal fluid flow map g_ t/ϵ, t, ϵ t= h_ t/ϵ k_t l_ ϵ t gt/ϵ, t, ϵ t= ht/ϵ ktl
ϵ t composed of three smooth maps with separated time scales: slow, intermediate and fast …

The estimation and prediction of unsteady flows in real time offers significant advantages for
the monitoring and active control of complex hydrodynamic and aerodynamic systems, such …

For ensemble-based data assimilation purposes, there is a definite need for relevant
ensemble sampling tools. Indeed, the quality and spreading of these ensembles have deep …

For ensemble-based data assimilation purposes, there is a definite need for relevant
ensemble sampling tools. Indeed, the quality and spreading of these ensembles have deep …