# Effect of Transport Noise on Kelvin-Helmholtz instability

## TL;DR

This paper investigates how small-scale transport noise influences the Kelvin-Helmholtz instability in 2D fluids, revealing that noise can delay instability development similarly to viscosity.

## Contribution

It provides a numerical analysis of the dissipation effects of small-scale transport noise on Kelvin-Helmholtz instability, highlighting its partial similarity to viscous dissipation.

## Key findings

- Transport noise delays Kelvin-Helmholtz instability.
- Small-scale noise mimics viscous dissipation effects.
- Noise impact depends on space-scale of the noise.

## 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.