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Stability of an impulsively accelerated density interface in magnetohydrodynamics

Wheatley, V. and Pullin, D. I. and Samtaney, R. (2005) Stability of an impulsively accelerated density interface in magnetohydrodynamics. Physical Review Letters, 95 (12). Art. No. 125002. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:WHEprl05

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Abstract

In the framework of ideal incompressible magnetohydrodynamics, we examine the stability of an impulsively accelerated, sinusoidally perturbed density interface in the presence of a magnetic field that is parallel to the acceleration. This is accomplished by analytically solving the linearized initial value problem, which is a model for the Richtmyer-Meshkov instability. We find that the initial growth rate of the interface is unaffected by the presence of a magnetic field, but for a finite magnetic field the interface amplitude asymptotes to a constant value. Thus the instability of the interface is suppressed. The interface behavior from the analytical solution is compared to the results of both linearized and nonlinear compressible numerical simulations.


Item Type:Article
Additional Information:©2005 The American Physical Society. Received 24 November 2004; published 14 September 2005. V.W. and D. I. P. are supported by the Academic Strategic Alliances Program of the Accelerated Strategic Computing Initiative (ASCI/ASAP) under subcontract No. B341492 of DOE Contract No. W-7405-ENG-48. R. S. was supported by USDOE Contract No. DEAC020-76-CH03073.
Subject Keywords:plasma magnetohydrodynamics; plasma instability; plasma density; plasma simulation; plasma shock waves
Record Number:CaltechAUTHORS:WHEprl05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WHEprl05
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.95.125002
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2117
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Mar 2006
Last Modified:26 Dec 2012 08:47

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