Nonequilibrium kinetics effects in Richtmyer-Meshkov instability and reshock processes

Abstract

Nonequilibrium kinetic effects are widespread in fluid systems and might have a significant impact on the inertial confinement fusion ignition process, and the entropy production rate is a key factor in accessing the compression process. In this work, we study the Richtmyer-Meshkov instability (RMI) and the reshock process by a two-fluid discrete Boltzmann method (DBM). Firstly, the DBM result for the perturbation amplitude evolution is in good agreement with that of experiment. Greatly different from the case of normal shocking on unperturbed plane interface between two uniform media, in the RMI case, the Thermodynamic Non-Equilibrium (TNE) quantities show complex but inspiring kinetic effects in the shocking process and behind the shock front. The kinetic effects are detected by two sets of TNE quantities. The first set are $\left |\Delta _{2}^{ {\rm{*}}}\right |$,$\left |\Delta _{3,1}^{ {\rm{*}}}\right |$, $\left | \Delta _{3}^{ {\rm{*}}}\right |$, and $\left |\Delta _{4,2}^{ {\rm{*}}}\right |$. All the four TNE measures abruptly increase in the shocking process. $\left |\Delta _{3,1}^{ {\rm{*}}}\right |$ and $\left |\Delta _{3}^{ {\rm{*}}}\right |$ show similar behaviors. They continue to increase in a much lower rate behind the shock front. $\left |\Delta _{2}^{ {\rm{*}}}\right |$ and $\left |\Delta _{4,2}^{ {\rm{*}}}\right |$ have different dimensions, but show similar behaviors. They quickly decrease to be very small behind the shock front. The second set of TNE quantities are ${\dot{S} _{NOMF}}$, ${\dot{S} _{NOEF}}$ and ${\dot{S} _{sum}}$. It is found that the mixing zone is the primary contribution region to the ${\dot{S} _{NOEF}}$, while the flow field region excluding mixing zone is the primary contribution region to the ${\dot{S} _{NOMF}}$. The light fluid has a higher entropy production rate than the heavy fluid.