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The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics

Wheatley, V. and Samtaney, R. and Pullin, D. I. and Gehre, R. M. (2014) The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics. Physics of Fluids, 26 (1). Art. No. 016102. ISSN 1070-6631. https://resolver.caltech.edu/CaltechAUTHORS:20140320-095617237

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Abstract

The magnetohydrodynamic Richtmyer-Meshkov instability is investigated for the case where the initial magnetic field is unperturbed and aligned with the mean interface location. For this initial condition, the magnetic field lines penetrate the perturbed density interface, forbidding a tangential velocity jump and therefore the presence of a vortex sheet. Through simulation, we find that the vorticity distribution present on the interface immediately after the shock acceleration breaks up into waves traveling parallel and anti-parallel to the magnetic field, which transport the vorticity. The interference of these waves as they propagate causes the perturbation amplitude of the interface to oscillate in time. This interface behavior is accurately predicted over a broad range of parameters by an incompressible linearized model derived presently by solving the corresponding impulse driven, linearized initial value problem. Our use of an equilibrium initial condition results in interface motion produced solely by the impulsive acceleration. Nonlinear compressible simulations are used to investigate the behavior of the transverse field magnetohydrodynamic Richtmyer-Meshkov instability, and the performance of the incompressible model, over a range of shock strengths, magnetic field strengths, perturbation amplitudes and Atwood numbers.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://scitation.aip.org/content/aip/journal/pof2/26/1/10.1063/1.4851255PublisherArticle
http://dx.doi.org/10.1063/1.4851255DOIArticle
ORCID:
AuthorORCID
Samtaney, R.0000-0002-4702-6473
Additional Information:© 2014 American Institute of Physics. Publishing LLC. Received 2 July 2013; accepted 26 November 2013; published online 10 January 2014. Dr. Wheatley is the recipient of an Australian Research Council Discovery Early Career Researcher Award (Project No. DE120102942). Additionally, this research was supported under Australian Research Council’s Discovery Projects funding scheme (Project No. DP120102378). Professor Samtaney is partially supported by a KAUST Base Research Award.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Australian Research Council Discovery Early Career Researcher AwardDE120102942
Australian Research Council Discovery Projects funding schemeDP120102378
KAUST Base Research AwardUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20140320-095617237
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140320-095617237
Official Citation: The transverse field Richtmyer-Meshkov instability in magnetohydrodynamics V. Wheatley, R. Samtaney, D. I. Pullin and R. M. Gehre Phys. Fluids 26, 016102 (2014); http://dx.doi.org/10.1063/1.4851255
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44405
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:20 Mar 2014 17:14
Last Modified:03 Oct 2019 06:17

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