Hall-MHD implementation in driven turbulence FLASH simulations

The transport of magnetic flux and energy in collisional, magnetized, high energy density plasma experiments is governed by an extended magnetohydrodynamics (xMHD) ansatz, which includes the Hall-MHD term in the generalized Ohm's law. In this presentation, we discuss the details of the Hall-MHD implementation in the FLASH code, utilizing driven turbulence simulations. FLASH is a publicly available, high-performance computing, multiphysics simulation code, developed by the Flash Center for Computational Science. We investigate the role of the Hall effect in magnetic field generation by studying three-dimensional simulations of the Hall-MHD equations subjected to stochastic drive for a given Mach number. We focus on examining the impact of the Hall effect on the efficiency of the dynamo process across various values of the Hall parameter. By incorporating the Hall effect into the simulations, we explore how it influences the generation and evolution of magnetic fields. Furthermore, we examine energy transfer rates among spatial scales and observe the changes due to the Hall effect in the direct energy cascade at scales relative to the Hall scale. Through detailed analysis, these findings enhance our understanding of the interplay between the Hall effect and magnetohydrodynamics and contribute to the broader knowledge of magnetic field generation and energy transport in high energy density plasmas. The implications of this work extend to various applications, including astrophysics and laboratory plasma experiments, where the Hall effect significantly influences the behavior and dynamics of magnetized systems.