Abstract
Numerical simulations are used to study compressible turbulence with microscale Reynolds numbers up to 40 and rms Mach numbersM up to 0.9. The flows are randomly forced, with energy supplied to either the rotational or compressive components of kinetic energy, which is then transferred to internal energy through the pressure-dilatation interaction and viscous dissipation terms. Coupling between the two components of kinetic energy by the advection term is relatively weak, and most energy introduced to either component by the external force is transferred, without passing through the other component, to internal nergy. A statistically quasiequilibrium of kinetic energy is realized while internal energy increases steadily. The spectral form of the rotational component of velocity, which hardly depends onM, is very close to that for incompressible flow. On the other hand, the compressive component depends strongly onM, especially at large wave numbers.
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Kida, S., Orszag, S.A. Energy and spectral dynamics in forced compressible turbulence. J Sci Comput 5, 85–125 (1990). https://doi.org/10.1007/BF01065580
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DOI: https://doi.org/10.1007/BF01065580