  A shock-preserving finite volume solver with the generalized Lax-Friedrichs
splitting flux for Morphing Continuum Theory (MCT) is presented and verified.
The numerical MCT solver is showcased in a supersonic turbulent flow with Mach
2.93 over an $8^{\circ}$ compression ramp. The simulation results validated MCT
with experiments as an alternative for modeling compressible turbulence. The
required size of the smallest mesh cell for the MCT simulation is shown to be
almost an order larger than that in a similar DNS study. The comparison shows
MCT is a much more computationally friendly theory than the classical NS
equations. The dynamics of energy cascade at the length-scale of individual
eddies is illuminated through the subscale rotation introduced by MCT. In this
regard, MCT provides a statistical averaging procedure for capturing energy
transfer in compressible turbulence, not found in classical fluid theories.
Analysis of the MCT results show the existence of a statistical coupling of the
internal and translational kinetic energy fluctuations with the corresponding
eddy rotational energy fluctuations, indicating a multiscale transfer of
energy. In conclusion, MCT gives a new characterization of the energy cascade
within compressible turbulence without the use of excessive computational
resources.
