We numerically investigate the effect of transport noise on the Kelvin- Helmholtz instability at the interface of two 2D fluids in a shear flow, to test if the transport noise acts as a stabilizing factor.
We exploit the point vortex method as a numerical discretization of the fluid equation of motion. We compare the results of the simulations in three different cases: inviscid and viscous fluid without transport noise, and inviscid fluid perturbed by transport noise. We find that when the transport noise is modeled by a large number of low-intensity point vortices, a delay in the temporal onset of the instability is present in the non viscous case, which resembles what happens in the viscous case.
Based on joint work with Franco Flandoli and Andrea Papini.