A 3-D Model of Hot-Spot Formation in Inertial Confinement Fusion Implosions

A 3-D model describing the formation of a hot-spot in inertial confinement fusion (ICF) implosions is presented. The model includes thermal conduction and mass ablation effects in a 3-D distorted hot spot using an approach developed by Sanz.\footnote{J. Sanz and R. Betti, Phys. Plasmas \textbf{12}, 042704 (2005).} Evolution of the nonuniformity growth is calculated based on a sharp boundary model.\footnote{V. N. Goncharov \textit{et al}., Phys. Plasmas \textbf{7}, 5118 (2000).} The results of the model will be compared against 2-D \textit{DRACO} and 3-D hydrodynamic code calculations.\footnote{ I. V. Igumenshchev \textit{et al}., ``Numerical Study of Large-Scale, Laser-Induced Nonuniformities in Cryogenic OMEGA Implosions,'' this conference.} This material is based upon work supported by the Department of Energy National Nuclear Security Administration under Award Number DE-NA0001944.