Abstract

The effect of anisotropic diffusion on hydrodynamic instabilities in the context of Inertial Confinement Fusion (ICF) flows is numerically assessed. This anisotropy occurs in indirect-drive when laminated ablators are used to modify the lateral transport [1,2]. In direct-drive, non-local transport mechanisms and magnetic fields may modify the lateral conduction [3]. In this work, numerical simulations obtained with the code PERLE [4], dedicated to linear stability analysis, are compared with previous theoretical results [5]. In these approaches, the diffusion anisotropy can be controlled by a characteristic coefficient which enables a comprehensive study. This work provides new results on the ablative Rayleigh-Taylor (RT), ablative Richtmyer-Meshkov (RM) and Darrieus-Landau (DL) instabilities.

Highlights

  • A large number of papers published over the last 30 years have been devoted to the instability developing at the ablation front

  • Numerical simulations obtained with the code PERLE [4], dedicated to linear stability analysis, are compared with previous theoretical results [1]

  • It has been shown that the main stabilizing effect of the ablation front instability can be understood as a transversal diffusive mechanism [1, 7]

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Summary

INTRODUCTION

A large number of papers published over the last 30 years have been devoted to the instability developing at the ablation front. Understanding the mechanism at work and controlling the perturbation growth are in the ICF context, key issues. It has been shown that the main stabilizing effect of the ablation front instability can be understood as a transversal diffusive mechanism [1, 7]. This understanding sheds new light on the ablation front instability and in particular explains the effect of anisotropic diffusion on the perturbation growth, and illuminates ablative RM and DL instabilities.

Self-consistent theory
Numerical simulations
ABLATIVE RAYLEIGH-TAYLOR INSTABILITY
ABLATIVE RICHTMYER-MESHKOV INSTABILITY
DARRIEUS-LANDAU INSTABILITY
CONCLUSION
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