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Magnetohydrodynamic Richtmyer–Meshkov instability under an arbitrarily oriented magnetic field

Shen, Naijian and Wheatley, Vincent and Pullin, D. I. and Samtaney, Ravi (2020) Magnetohydrodynamic Richtmyer–Meshkov instability under an arbitrarily oriented magnetic field. Physics of Plasmas, 27 (6). Art. No. 062101. ISSN 1070-664X. https://resolver.caltech.edu/CaltechAUTHORS:20200608-115355282

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Abstract

The effect of an initially uniform magnetic field of arbitrary orientation on the Richtmyer–Meshkov instability in Hall-magnetohydrodynamics (MHD) and ideal MHD is considered. Attention is restricted to the case where the initial density interface has a single-mode sinusoidal perturbation in amplitude and is accelerated by a shock traveling perpendicular to the interface. An incompressible Hall-MHD model for this flow is developed by solving the relevant impulse-driven linearized initial value problem. The ideal MHD theory is naturally obtained by taking the limit of vanishing ion skin depth. It is shown that the out-of-plane magnetic field component normal to both the impulse and the interface perturbation does not affect the evolution of the flow. For all field orientations other than strictly out-of-plane, the growth of interface perturbations is suppressed. However, the suppression is most effective for near tangential fields but becomes less effective with increasing ion skin depth and Larmor radius. The modeled suppression mechanism is transport of vorticity along magnetic field lines via Alfvén fronts in ideal MHD, and via a dispersive wave system in Hall-MHD. Oscillation of the interface growth rate is caused by a continuous phase change of the induced velocities at the interface due to vorticity transport parallel to the perturbation direction in ideal MHD, while it can also result from interfacial vorticity production associated with the ion cyclotron effect in Hall-MHD with a finite Larmor radius. The limiting flow behavior of a large ion-skin-depth is explored. To assess the accuracy and appropriateness of the incompressible model, its ideal MHD predictions are compared to the results of the corresponding shock-driven nonlinear compressible simulations.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1063/1.5142042DOIArticle
ORCID:
AuthorORCID
Shen, Naijian0000-0002-0533-8081
Samtaney, Ravi0000-0002-4702-6473
Additional Information:© 2020 The Author(s). Published under license by AIP Publishing. Submitted: 10 December 2019. Accepted: 08 May 2020. Published Online: 05 June 2020. This work was supported by the KAUST Office of Sponsored Research under Award No. URF/1/3418–01. Dr. Wheatley was supported by the Australian Research Council Discovery Early Career Researcher Award (Project No. DE120102942) and the Australian Research Council's Discovery Projects funding scheme (Project No. DP120102378). DATA AVAILABILITY: The data that support the findings of this study are available from the corresponding author upon reasonable request.
Group:GALCIT
Funders:
Funding AgencyGrant Number
King Abdullah University of Science and Technology (KAUST)URF/1/3418-01
Australian Research CounciDE120102942
Australian Research CouncilDP120102378
Issue or Number:6
Record Number:CaltechAUTHORS:20200608-115355282
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200608-115355282
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103767
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:08 Jun 2020 19:46
Last Modified:08 Jun 2020 19:46

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