Sustained oscillating regime in the two-dimensional magnetic Rayleigh–Taylor instability

Author:

Briard Antoine1ORCID,Gréa Benoît-Joseph12ORCID,Nguyen Florian1

Affiliation:

1. CEA, DAM, DIF 1 , 91297 Arpajon, France

2. Université Paris-Saclay, Laboratoire de la Matière en Conditions Extrêmes 2 , 91680 Bruyères-le-Châtel, France

Abstract

There exists an oscillating stable solution to the single-mode two-dimensional Rayleigh–Taylor instability when a mean magnetic field B0 is imposed parallel to the interface, within the Boussinesq approximation. The characteristic frequency Ω and averaged deformation amplitude of the interface L¯ can be predicted by analyzing the stability of a background piecewise density profile. Comparisons with direct numerical simulations of the Navier–Stokes equations, under the magnetohydrodynamics approximation, yield satisfactory results, with deviations of ±5% for Ω and ±20% for L¯. By combining these theoretical predictions with numerical observations, simplified models are proposed to estimate the averaged amplitude and characteristic frequency of the oscillating solution.

Publisher

AIP Publishing

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