“…Here, it is noted that although the underlying granular microstructure also depends on particle morphology, the only variable available in the multiphase model used to describe this microstructure is φ i . Efforts to include mesoscale physics within the continuum macroscale description have been attempted [5], but require additional submodeling such as mesoscale simulations [1,2,4,6,32], which is beyond the scope of this work. The gas internal energy is characterized by its thermal equation of state e g = e g (ρ g , P g ), while the solid equation of state includes a volume fraction contribution due to compaction, i.e., e i = e i (ρ i , P i , φ i ).…”