Effects of Equation of State Monotonicity on 2D Simulations of Pulsed-Power-Driven Explosions of Cylindrical Conductors

Megaampere pulsed-power-driven explosions of conductors are an important area of study for characterizing hydrodynamic instabilities relevant to magneto-inertial fusion concepts such as magnetized-liner inertial fusion (MagLIF). Experiments such as the Mykonos electrothermal instability II (METI-II) experiment provide insight on the physics of conductive materials brought from solid conditions to high energy density plasma (HEDP) regimes in less than 0.1 $\mu s$. Understanding the rapid phase changes in the conductor is key to understanding the electrothermal instability (ETI). In simulated recreations of these experiments, the proper choice of equations of state (EOS), constitutive models, and subsequent careful usage are of critical importance for making consistent comparisons to measurements. This work considers 2D Arbitrary Lagrangian-Eulerian (ALE) resistive magnetohydrodynamic (MHD) simulation results from the Lawrence Livermore National Laboratory (LLNL) code Ares. Simulation results are compared in an tabular EOS sensitivity study to determine the effects of EOS containing van der Waals loops and those with Maxwell constructions, on hydrodynamic motion and instability growth.