Numerical simulations of cylindrical Richtmyer-Meshkov instability at a solid-gas interface

Richtmyer--Meshkov flows occur in a wide range of physical phenomena and are of particular interest in shock compression of condensed matter. In this presentation, we discuss numerical simulations of a perturbed, solid--gas interface following the passage of a shock wave in cylindrical geometries. Results are obtained using a shock-capturing scheme applied to the equations of motion for contiguous gaseous and elastic--plastic solid media in a level set-based, multi--material and fully compressible Eulerian framework. Multiple Atwood ratios, initial amplitudes and shock strengths are investigated. Results show that fluid--solid interfaces become unstable when a plasticity model is added to the description of the solid. Under certain initial conditions, ejecta can be formed. This contrasts to previous results (L\'{o}pez Ortega et. al, {\it PRE}, 2010) for purely elastic solids, in which the interface exhibited stable behavior.