The Richtmyer-Meshkov instability of a double-layer interface in convergent geometry with magnetohydrodynamics

Abstract

The interaction between a converging cylindrical shock and double density interfaces in the presence of a saddle magnetic field is numerically investigated within the framework of ideal magnetohydrodynamics. Three fluids of differing densities are initially separated by the two perturbed cylindrical interfaces. The initial incident converging shock is generated from a Riemann problem upstream of the first interface. The effect of the magnetic field on the instabilities is studied through varying the field strength. It shows that the Richtmyer-Meshkov and Rayleigh-Taylor instabilities are mitigated by the field, however, the extent of the suppression varies on the interface which leads to non-axisymmetric growth of the perturbations. The degree of asymmetry of the interfacial growth rate is increased when the seed field strength is increased.

The magnetised Richtmyer–Meshkov instability in two-fluid plasmas

“…The magnetic suppression of the MHD RMI has then been investigated in the converging geometries relevant to the ICF for a variety of realisable imposed magnetic-field configurations (Mostert et al. 2015, 2017; Li, Samtaney & Wheatley 2018) with the goal of supressing the instabilities while minimising implosion distortion or weakening. Experimental work has also been carried out by Hohenberger et al.…”

Effect of adiabatic index on Richtmyer–Meshkov flows induced by strong shocks

“…Having started from the seminal works of Robert Richtmyer and Evgeny Meshkov (Richtmyer, 1960;Meshkov, 1972, Abarzhi andSreenivasan, 2020), RMI remains the subject of active research in fundamentals and in applications (Abarzhi et al, 2019). Recent developments include studies of strong-shock driven RMI using particle methods (Huang et al, 2020;Sun et al, 2020;Dell et al, 2017;[Dell et al, 2015;Stanic et al, 2012); numerical modeling of the effect of turbulence, presuming it may develop, on Richtmyer-Meshkov mixing (Thornber et al, 2019); studies of RMI with magnetohydrodynamics (Li et al, 2018); simulations of Richtmyer-Meshkov dynamics with reshocks and in complex geometry (Li et al, 2019;Guan et al, 2020). This indicates a need in a systematic study of the effect of the adiabatic index on RMI evolution in order to provide reliable benchmarks for experiments, and to better understand a broad range of processes in nature and technology to which RMI is relevant (Abarzhi et al, 2019;Abarzhi, 2010).…”

Richtmyer–Meshkov instability with a rippled reshock

“…This hydrodynamic instability is called the Richtmyer-Meshkov instability (RMI) since it was first analysed theoretically by Richtmyer (1960) and later confirmed experimentally by Meshkov (1969). The RMI exists ubiquitously in nature and engineering applications, with scales spanning from millimetre (inertial confinement fusion; Murakami & Nishi 2017;Li, Samtaney & Wheatley 2018) to light year (supernova explosion; Kuranz et al 2018). For instance, the growth of initial perturbations at the interface of the inertial confinement fusion capsule caused by the RMI and Rayleigh-Taylor instability (Li et al 2022b;Samulski et al 2022) enhances the mixing between the inner fuel and the outer ablator, and further leads to the energy yield reduction or even the ignition failure (Lindl et al 2014).…”