3 papers
math.AP2022
Convergence of the stochastic Navier-Stokes- solutions toward the stochastic Navier-Stokes solutions
Jad Doghman, Ludovic Goudenège
Loosely speaking, the Navier-Stokes- model and the Navier-Stokes equations differ by a spatial filtration parametrized by a scale denoted . Starting from a strong two-dimensi…
math.NA2022
Numerical approximation of the stochastic Navier-Stokes equations through artificial compressibility
Jad Doghman
A constructive numerical approximation of the two-dimensional unsteady stochastic Navier-Stokes equations of an incompressible fluid is proposed via a pseudo-compressibility techni…
math.NA2021
Numerical and convergence analysis of the stochastic Lagrangian averaged Navier-Stokes equations
Jad Doghman, Ludovic Goudenège
The primary emphasis of this work is the development of a finite element based space-time discretization for solving the stochastic Lagrangian averaged Navier-Stokes (LANS-) equ…