Anisotropy and Feedthrough in Magneto-Rayleigh-Taylor Instabilities

POSTER

Abstract

The magneto-Rayleigh-Taylor instability (MRT) in a finite slab is studied analytically using the ideal MHD model. The slab may be accelerated by an arbitrary combination of magnetic pressure and fluid pressure, thus allowing an arbitrary degree of anisotropy intrinsic to the acceleration mechanism [1]. The magnetic field in different regions may assume arbitrary magnitude and direction tangential to the interface. In general, MRT retains robust growth if it exists. However, feedthrough may be substantially reduced if there are magnetic fields on both sides of the slab, and if the MRT mode invokes bending of the magnetic field lines. The analytically tractable eigenmode solutions allow an evaluation of the temporal evolution of MRT from random initial surface roughness. \\[4pt] [1] Y. Y. Lau \textit{et al}., \textit{Phys. Rev. E83}, 066405 (2011).

Authors

  • Matthew Weis

    University of Michigan, University of Michigan, Ann Arbor

  • I.M. Rittersdorf

    University of Michigan, University of Michigan, Ann Arbor

  • Y.Y. Lau

    University of Michigan, University of Michigan, Ann Arbor, MI, U of Michigan, Ann Arbor, University of Michigan, Ann Arbor

  • Peng Zhang

    University of Michigan, U of Michigan, Ann Arbor, University of Michigan, Ann Arbor

  • R.M. Gilgenbach

    University of Michigan, University of Michigan, Ann Arbor, MI, University of Michigan, Ann Arbor

  • J.C. Zier

    University of Michigan, Naval Research Laboratory