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The magnetised Richtmyer–Meshkov instability in two-fluid plasmas

Bond, D. and Wheatley, V. and Li, Y. and Samtaney, R. and Pullin, D. I. (2020) The magnetised Richtmyer–Meshkov instability in two-fluid plasmas. Journal of Fluid Mechanics, 903 . Art. No. A41. ISSN 0022-1120.

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We investigate the effects of magnetisation on the two-fluid plasma Richtmyer–Meshkov instability of a single-mode thermal interface using a computational approach. The initial magnetic field is normal to the mean interface location. Results are presented for a magnetic interaction parameter of 0.1 and plasma skin depths ranging from 0.1 to 10 perturbation wavelengths. These are compared to initially unmagnetised and neutral fluid cases. The electron flow is found to be constrained to lie along the magnetic field lines resulting in significant longitudinal flow features that interact strongly with the ion fluid. The presence of an initial magnetic field is shown to suppress the growth of the initial interface perturbation with effectiveness determined by plasma length scale. Suppression of the instability is attributed to the magnetic field's contribution to the Lorentz force. This acts to rotate the vorticity vector in each fluid about the local magnetic-field vector leading to cyclic inversion and transport of the out-of-plane vorticity that drives perturbation growth. The transport of vorticity along field lines increases with decreasing plasma length scales and the wave packets responsible for vorticity transport begin to coalesce. In general, the two-fluid plasma Richtmyer–Meshkov instability is found to be suppressed through the action of the imposed magnetic field with increasing effectiveness as plasma length scale is decreased. For the conditions investigated, a critical skin depth for instability suppression is estimated.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Bond, D.0000-0001-5261-3720
Samtaney, R.0000-0002-4702-6473
Alternate Title:Richtmyer-Meshkov Instability of an Imploding Flow with a Two-Fluid Plasma Model
Additional Information:© The Author(s), 2020. Published by Cambridge University Press. Received 2 February 2020; revised 14 June 2020; accepted 31 July 2020. Published online by Cambridge University Press: 30 September 2020. This research was supported by the KAUST Office of Sponsored Research under Award URF/1/3418-01. The authors report no conflict of interest.
Funding AgencyGrant Number
King Abdullah University of Science and Technology (KAUST)URF/1/3418-01
Subject Keywords:nonlinear instability, plasmas
Record Number:CaltechAUTHORS:20201016-145223202
Persistent URL:
Official Citation:Bond, D., Wheatley, V., Li, Y., Samtaney, R., & Pullin, D. (2020). The magnetised Richtmyer–Meshkov instability in two-fluid plasmas. Journal of Fluid Mechanics, 903, A41. doi:10.1017/jfm.2020.661
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106121
Deposited By: Tony Diaz
Deposited On:16 Oct 2020 22:04
Last Modified:16 Oct 2020 22:04

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