Abstract
A numerical study was performed to explore the difference between the one-dimensional compressible hydrodynamic turbulence and Burgers turbulence. The compressible flows were simulated at three different turbulent Mach numbers (Mt): 0.1, 1.0, and 3.2, using a randomly large-scale forcing scheme. We observed that the isentropic condition was approximately valid in the Mt = 1.0 case, and its statistical scalings were close to that in the Burgers turbulence. We then used the subensemble method to decompose the velocity field of the Mt = 1.0 flow into two subensembles, according to the local energy fluxes in the positive and negative directions, respectively, and found that the subensemble probabilities were scale invariant in the inertial range. Further investigation on the interconversion between the two subensembles revealed that the transition in the compressible turbulence, unlike its Markovian counterpart in the Burgers turbulence, was not in accordance with a Markov process, and a mechanism for explaining this finding was then proposed.
Published Version
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