Effects of Mass Diffusion on Rayleigh-Taylor Instability Under A Large Gravity

TL;DR

This paper investigates how mass diffusion and exponential density distribution influence Rayleigh-Taylor instability growth under large gravity, providing insights for improving analytical predictions crucial for inertial confinement fusion.

Contribution

It introduces a model considering mass diffusion and exponential density distribution effects on RTI growth, enhancing analytical accuracy for ICF applications.

Findings

Mass diffusion mainly dampens high-wavenumber perturbations.

Exponential density distribution mainly dampens low-wavenumber perturbations.

The combined effects cause non-monotonic damping across wavenumbers.

Abstract

Rayleigh-Taylor instabilities (RTI) play an important role in the evolution of inertial confinement fusion (ICF) processes, while analytical prediction of the RTI growth rate often fails to reach an agreement with the experimental and simulation results. Accurate analytical prediction of RTI growth is of great significance to the success of ICF schemes. In this paper, we study the effects of mass diffusion and exponential density distribution on RTI under a large gravity, by solving the Rayleigh equation with a linear approximation to the density distribution of the mixing layer. While both effects tend to dampen the instability growth, mass diffusion dominates the damping of perturbations of larger wavenumber and exponential density distribution dominates those of smaller wavenumber, resulting in a non-monotonicity of the density suppression factor of the instability growth rate over perturbation wavenumbers.