Internal energy based modeling of high-speed gaseous flow turbulence
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The objective was to examine the role of the internal energy as the primary coupling mechanism between the kinematic and thermodynamic fluctuations. The transport equation description of compressible flow turbulence was rewritten with the internal energy as the primary coupling mechanism between the kinematic and thermodynamic fluctuations. The focus was a thermally perfect gas, with caloric imperfections. New algebraic truncation models were then developed, within the new mathematical framework, for the energy flux and energy variance. The models were found to compare favorably with available experimental and direct numerical simulation data, which provides confidence in both the modeling framework and assumptions.