Journal
ACTA MECHANICA SINICA
Volume 31, Issue 3, Pages 275-291Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10409-015-0459-9
Keywords
Compressible turbulence; Hybrid compact-WENO scheme; Compressibility effect; Lagrangian study; Constrained large eddy simulation
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Funding
- National Natural Science Foundation of China [11221061, 91130001, 11302006]
- National Science Foundation for Postdoctoral Scientists of China [2011M500194, 2012M520109]
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In this paper, we review some recent studies on compressible turbulence conducted by the authors' group, which include fundamental studies on compressible isotropic turbulence (CIT) and applied studies on developing a constrained large eddy simulation (CLES) for wall-bounded turbulence. In the first part, we begin with a newly proposed hybrid compact-weighted essentially nonoscillatory (WENO) scheme for a CIT simulation that has been used to construct a systematic database of CIT. Using this database various fundamental properties of compressible turbulence have been examined, including the statistics and scaling of compressible modes, the shocklet-turbulence interaction, the effect of local compressibility on small scales, the kinetic energy cascade, and some preliminary results from a Lagrangian point of view. In the second part, the idea and formulas of the CLES are reviewed, followed by the validations of CLES and some applications in compressible engineering problems.
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