English

Effects of reflection distance on Richtmyer-Meshkov instability in the reshock process: A discrete Boltzmann study

Fluid Dynamics 2025-02-25 v1

Abstract

The Richtmyer-Meshkov (RM) instability occurs when a perturbed interface between two fluids undergoes impulsive acceleration due to a shock wave. In this paper, a numerical investigation of the RM instability during the reshock process is conducted using the two-component discrete Boltzmann method. The influence of reflection distance on the RM instability, including both hydrodynamic and thermodynamic non-equilibrium effects, is explored in detail. The interaction time between the reflected shock wave and the material interface varies with different reflection distances. Larger reflection distances lead to a longer evolution time of the material interface before reshock, resulting in more complex effects on the interface deformation, the mixing extent of the fluid system, and non-equilibrium behaviors after reshock. Additionally, while the reflection distance has a minimal impact on mixing entropy before the secondary impact, a significant difference emerges after the secondary impact. This suggests that the secondary impact enhances the evolution of the RM instability. Furthermore, non-equilibrium behaviors or quantities exhibit complex dynamics due to the influence of the transmitted shock wave, transverse waves, rarefaction waves, material interfaces, and dissipation/diffusion processes.

Keywords

Cite

@article{arxiv.2502.16597,
  title  = {Effects of reflection distance on Richtmyer-Meshkov instability in the reshock process: A discrete Boltzmann study},
  author = {Huilin Lai and Chuandong Lin and Demei Li and Tao Yang and Yanbiao Gan and Lingyan Lian and Aiguo Xu},
  journal= {arXiv preprint arXiv:2502.16597},
  year   = {2025}
}