10-moment fluid modelling of the Weibel instability

High energy density (HED) plasmas are oftentimes not in local thermal equilibrium, as their dynamics can evolve on timescales faster than the collisional timescale. However, high-fidelity kinetic simulations of device-scale physics can be prohibitively expensive; thus, fluid models which can capture finite kinetic effects would greatly benefit predictive modeling of HED plasmas. In this study, we present results from an electromagnetic 10-moment fluid model, which can capture the evolution of a full pressure tensor, in addition to density and bulk velocity. This model is applied to studying the Weibel instability, through which magnetic fields are generated in the presence of anisotropy of the plasma in velocity space. We demonstrate the ability of the 10-moment model to accurately capture the Weibel growth rate and the saturation amplitude of the magnetic field energy. The fluid results are compared to linear theory and kinetic results