Addition of Implicit Monte Carlo Radiation Transport and Validation of 3D Hydrodynamics in \textit{DRACO}

We will describe two new advancements which have been made to the \textit{DRACO} Lagrangian radiation-hydrodynamics code. First, the 3D hydrodynamics module has been validated using analytic formulas; second, we have added Implicit Monte Carlo (IMC) radiation transport in 2D $r$-$z$ geometry. Previous results demonstrated the ability to model 3D Richtmyer-Meshkov (RM) instabilities [Fatenejad and Moses, \textit{Bull. APS} \underline{51}, 209(2006)] using \textit{DRACO}. New results validate simulations of the growth of 3D RM and Rayleigh-Taylor (RT) instabilities via comparisons with theoretical growth rates and 2D calculations. The IMC model now implemented in \textit{DRACO} was originally developed by Fleck and Cummings [\textit{JCP} \underline{8}, 313(1971)]. The IMC code is validated using comparisons with diffusion theory and numerical results presented in the original paper. Finally, comparison of a 2D symmetric direct drive target implosion using IMC to an identical simulation using no radiation transport and diffusion theory will be presented.