Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics

Bakhsh, A., Gao, S., Samtaney, R. and Wheatley, V. (2016) Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics. Physics of Fluids, 28 3: . doi:10.1063/1.4943162

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Author Bakhsh, A.
Gao, S.
Samtaney, R.
Wheatley, V.
Title Linear simulations of the cylindrical Richtmyer-Meshkov instability in magnetohydrodynamics
Journal name Physics of Fluids   Check publisher's open access policy
ISSN 1070-6631
1089-7666
Publication date 2016-03-09
Sub-type Article (original research)
DOI 10.1063/1.4943162
Open Access Status File (Publisher version)
Volume 28
Issue 3
Total pages 22
Place of publication Melville, NY, United States
Publisher AIP Publishing LLC
Collection year 2017
Language eng
Formatted abstract
Numerical simulations and analysis indicate that the Richtmyer-Meshkov instability(RMI) is suppressed in ideal magnetohydrodynamics(MHD) in Cartesian slab geometry. Motivated by the presence of hydrodynamic instabilities in inertial confinement fusion and suppression by means of a magnetic field, we investigate the RMI via linear MHD simulations in cylindrical geometry. The physical setup is that of a Chisnell-type converging shock interacting with a density interface with either axial or azimuthal (2D) perturbations. The linear stability is examined in the context of an initial value problem (with a time-varying base state) wherein the linearized ideal MHD equations are solved with an upwind numerical method. Linear simulations in the absence of a magnetic field indicate that RMI growth rate during the early time period is similar to that observed in Cartesian geometry. However, this RMI phase is short-lived and followed by a Rayleigh-Taylor instability phase with an accompanied exponential increase in the perturbation amplitude. We examine several strengths of the magnetic field (characterized by β=2pB2rβ=2pBr2) and observe a significant suppression of the instability for β ≤ 4. The suppression of the instability is attributed to the transport of vorticity away from the interface by Alfvén fronts.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mechanical & Mining Engineering Publications
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Created: Thu, 10 Mar 2016, 10:19:00 EST by Dr Vincent Wheatley on behalf of School of Mechanical and Mining Engineering