Stability of an impulsively accelerated density interface in magnetohydrodynamics
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2005
Authors
Wheatley, V.
Pullin, D.
Samtaney, R.
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Physical Review Letters, 2005; 95(12):125002-1-125002-4
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V. Wheatley, D. I. Pullin, and R. Samtaney
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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.
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©2005 American Physical Society