Linear Analysis of Converging Richtmyer-Meshkov Instability in the Presence of an Azimuthal Magnetic Field

[+] Author and Article Information
Abeer Bakhsh

Applied Mathematics and Computational Sciences, Fluid and Plasma Simulation Laboratory, King Abdullah University of Science and Technology

Ravindra Samtaney

Professor, Mechanical Engineering, Physical Science and Engineering Division, Fluid and Plasma Simulation Laboratory, King Abdullah University of Science and Technology

1Corresponding author.

ASME doi:10.1115/1.4038487 History: Received November 29, 2016; Revised October 07, 2017


We investigate the linear stability of both positive and negative Atwood ratio interfaces accelerated either by a fast magnetosonic or hydrodynamic shock in cylindrical geometry. For the magnetohydrodynamic (MHD) case, we examine the role of an initial seed azimuthal magnetic field on the growth rate of the perturbation. In the absence of a magnetic field, the Richtmyer-Meshkov growth is followed by an exponentially increasing growth associated with the Rayleigh-Taylor instability. In the MHD case, the growth rate of the instability reduces in proportion to the strength of the applied magnetic field. The suppression mechanism is associated with the interference of two waves running parallel and anti-parallel to the interface that transport of vorticity and cause the growth rate to oscillate in time with nearly a zero mean value.

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