Dust Dynamics in Kelvin-Helmholtz Instabilities

Kelvin-Helmholtz Instabilities

Kelvin - Helmholtz instabilities across periodic plates

We consider the linear stability of two inviscid fluids, in the presence of gravity, sheared past each other and separated by an flexible plate. Conditions for exponential growth of velocity perturbations are found as functions of the flexural rigidity of the plate and the shear rate. This Kelvin-Helmholtz instability is then analysed in the presence of plates with spatially periodic (with peri...

Interplay between Kelvin-Helmholtz and urrent-driven instabilities in jets

Modelling discontinuities and Kelvin-Helmholtz instabilities in SPH

In this paper we discuss the treatment of discontinuities in Smoothed Particle Hydrodynamics (SPH) simulations. In particular we discuss the difference between integral and differential representations of the fluid equations in an SPH context and how this relates to the formulation of dissipative terms for the capture of shocks and other discontinuities. This has important implications for many...

The survival of interstellar clouds against Kelvin–Helmholtz instabilities

We consider the stability of clouds surrounded by a hotter confining medium with respect to which they are in motion, against Kelvin–Helmholtz instabilities (KHI). In the presence of cooling, sound waves are damped by dissipation. Whenever cooling times are shorter than sound crossing times, as they are in the normal interstellar medium, this implies that the instability generated at the interf...