Relating Compressible Quantum Turbulence and Classical Hydrodynamics*

Turbulence in compressible fluids is at the forefront of current hydrodynamic research with applications that include supersonic flight, combustion, fusion, ultra-cold atoms, and nuclear astrophysics. While much more common in the Universe than incompressible turbulence, it is significantly less well understood due to its large parameter space, complex hydrodynamic-thermodynamic couplings, and difficulty in experimentally realizing relevant parameter regimes.  In this talk I will show results comparing and contrasting compressible quantum turbulence in bosonic and fermionic superfluids with classical hydrodynamics, paying special attention to energy transfer and dissipation.