The Richtmyer-Meshkov instability in magnetohydrodynamics

Wheatley, V., Samtaney, R. and Pullin, D. I. (2009) The Richtmyer-Meshkov instability in magnetohydrodynamics. Physics of Fluids, 21 8: 082102-1-082102-13. doi:10.1063/1.3194303

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Author Wheatley, V.
Samtaney, R.
Pullin, D. I.
Title The Richtmyer-Meshkov instability in magnetohydrodynamics
Journal name Physics of Fluids   Check publisher's open access policy
ISSN 1070-6631
1089-7666
Publication date 2009
Year available 2009
Sub-type Article (original research)
DOI 10.1063/1.3194303
Open Access Status File (Publisher version)
Volume 21
Issue 8
Start page 082102-1
End page 082102-13
Total pages 13
Editor John Kim
L. Gary Leal
Place of publication New York, United States
Publisher American Institute of Physics
Language eng
Subject 09 Engineering
Abstract In ideal magnetohydrodynamics (MHD), the Richtmyer–Meshkov instability can be suppressed by the presence of a magnetic field. The interface still undergoes some growth, but this is bounded for a finite magnetic field. A model for this flow has been developed by considering the stability of an impulsively accelerated, sinusoidally perturbed density interface in the presence of a magnetic field that is parallel to the acceleration. This was accomplished by analytically solving the linearized initial value problem in the framework of ideal incompressible MHD. To assess the performance of the model, its predictions are compared to results obtained from numerical simulation of impulse driven linearized, shock driven linearized, and nonlinear compressible MHD for a variety of cases. It is shown that the analytical linear model collapses the data from the simulations well. The predicted interface behavior well approximates that seen in compressible linearized simulations when the shock strength, magnetic field strength, and perturbation amplitude are small. For such cases, the agreement with interface behavior that occurs in nonlinear simulations is also reasonable. The effects of increasing shock strength, magnetic field strength, and perturbation amplitude on both the flow and the performance of the model are investigated. This results in a detailed exposition of the features and behavior of the MHD Richtmyer–Meshkov flow. For strong shocks, large initial perturbation amplitudes, and strong magnetic fields, the linear model may give a rough estimate of the interface behavior, but it is not quantitatively accurate. In all cases examined the accuracy of the model is quantified and the flow physics underlying any discrepancies is examined. © 2009 American Institute of Physics.
Keyword Compressible flow
Flow instability
Flow simulation
Magnetohydrodynamics
Shock waves
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mechanical & Mining Engineering Publications
 
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Created: Wed, 09 Jun 2010, 14:37:52 EST by Dr Vincent Wheatley on behalf of School of Mechanical and Mining Engineering