Resonant Kelvin-Helmholtz modes in sheared relativistic flows

Kelvin-Helmholtz instabilities of relativistic magnetohydrodynamic planar flows

Aims. We investigate the stability properties of the interface separating two relativistic magnetized fluids in relative motion. The two fluids are governed by the (special) relativistic equations for a perfect magnetized gas in the infinite conductivity approximation. Methods. By adopting the vortex-sheet approximation, the relativistic magnetohydrodynamics equations are linearized around the ...

The Mhd Kelvin-helmholtz Instability Iii: the Role of Sheared Magnetic Field in Planar Flows

We have carried out simulations of the nonlinear evolution of the magnetohydrodynamic (MHD) Kelvin-Helmholtz (KH) instability for compressible fluids in 2 1 2 -dimensions, extending our previous work by Frank et al. (1996) and Jones et al. (1997). In the present work we have simulated flows in the x− y plane in which a “sheared” magnetic field of uniform strength “smoothly” rotates across a thi...

On the linear theory of Kelvin-Helmholtz instabilities of relativistic magnetohydrodynamic planar flows

Aims. We investigate the linear stability properties of the plane interface separating two relativistic magnetized flows in relative motion. The two flows are governed by the (special) relativistic equations for a magnetized perfect gas in the infinite conductivity approximation. Methods. By adopting the vortex-sheet approximation, the relativistic magnetohydrodynamics equations are linearized ...

Interaction of Kelvin-Helmholtz and salt sheet instabilities in a sheared, fingering-unstable layer

Motivated by observations of thermohaline staircases in the midlatitude oceans, we have conducted direct numerical simulations (DNS) of the evolution of a diffusively unstable shear layer. This flow supports both KH and salt sheet instabilities, and we wish to see how the two mechanisms work together to drive the transition to turbulence. The main controlling parameters are the bulk Richardson ...

Kelvin-Helmholtz Instabilities