Journal
PHYSICS OF FLUIDS
Volume 30, Issue 6, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5028294
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Funding
- National Natural Science Foundation of China (NSFC) [11702127, 91752201, 11672123]
- the Thousand Talents Plan for Young Professionals
- Technology and Innovation Commission of Shenzhen Municipality [JCYJ20170412151759222]
- Young Elite Scientist Sponsorship Program by CAST [2016QNRC001]
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The effects of Mach number on the spectra and statistics of stationary compressible homogeneous shear turbulence (HST) are studied using numerical simulations in a rectangular domain (L-x = 4 pi, L-y = L-z = 2 pi) at turbulent Mach numbers from 0.05 to 0.66 and Taylor Reynolds numbers from 40 to 100. Long-term simulation results show that a statistically stationary state is obtained and the flow meets the strong acoustic equilibrium assumption at M-t approximate to 0.4. The analysis of spectral properties indicates that velocity and pressure tend toward a Mach number scaling of M-t(2) suggested by acoustic dynamics at M-t greater than or similar to 0.3. As for one-point statistics, it is found that a M-t(4) scaling predicted by pseudo-sound theory holds for normalized compressible kinetic energy, K-c/K-s, at the small turbulent Mach number M-t less than or similar to 0.1. K-c/K-s approaches a M-t(2) scaling at relatively higher turbulent Mach numbers, which is consistent with the spectral results. The normalized compressible dissipation rate, is an element of(c)/is an element of(s), is nearly independent of Taylor Reynolds number and exhibits the same M-t(4) scaling at small turbulent Mach numbers. The root mean square values of pressure, density, and temperature of compressible HST show good agreement with the M-t(4) scaling, with the coefficient approximately doubled as compared with the compressible isotropic turbulence. Published by AIP Publishing.
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