Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls

We are searching for the best approximation to compute fully-developed two-dimensional turbulent flows. Fluid mechanics is governed by the Navier-Stokes equations, which are entirely deterministic. Fully-developed turbulence corresponds to very large Reynolds number flows (for which the micro-scale Reynolds number Re is larger than 104) and is the regime where the nonlinear advective term of Navier-Stokes equations strongly dominates the linear …