Nonlinear Rayleigh–Taylor instability with horizontal magnetic field

Abstract

In this research, the height, curvature and velocity of the bubble tip in Rayleigh–Taylor instability at arbitrary Atwood number with horizontal magnetic field are investigated. To support the earlier simulation and experimental results, the vorticity generation inside the bubble is introduced. It is found that, in early nonlinear stage, the temporal evolution of the bubble tip parameters depends essentially on the strength and initial perturbation of the magnetic field, although the asymptotic nature coincides with the nonmagnetic case. The model proposed here agrees with the previous linear, nonlinear and simulation observations.