The models under location uncertainty recently introduced by Mémin [16] provide a new
outlook on LES modelling for turbulence studies. These models are derived from the
stochastic conservation equations using stochastic calculus. These stochastic conservation
equations are similar to the filtered Navier-Stokes equation wherein we observe a sub-grid
scale dissipation term. However, in the stochastic version, an extra term appears, termed as"
velocity bias", which can be treated as a biasing/modification of the large scale advection by …

The models under location uncertainty (henceforth referred to as stochastic models) recently
introduced by Memin [1] provide a new outlook on LES modelling for turbulence studies.
These models are derived from the stochastic conservation equations using stochastic
calculus (see [1] for the derivation). The resulting conservation equations maintain a
similarity with the filtered Navier Stokes equation wherein we observe a sub-grid scale
dissipation term. However, in the stochastic version, an extra term appears, termed as …