Effect of Transport Noise on Kelvin-Helmholtz instability

Abstract

The effect of transport noise on a 2D fluid may depend on the space-scale of the noise. We investigate numerically the dissipation properties of very small-scale transport noise. As a test problem we consider the Kelvin-Helmholtz instability and we compare the inviscid case, the viscous one, both without noise, and the inviscid case perturbed by transport noise. We observe a partial similarity with the viscous case, namely a delay of the instability.

22 pages, 22 figures

References in corpus (4)

• Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics
• Eddy heat exchange at the boundary under white noise turbulence
• Burst of Point Vortices and Non-Uniqueness of 2D Euler Equations
• Uniform Approximation of 2D Navier-Stokes Equations with Vorticity Creation by Stochastic Interacting Particle Systems