Acta Mechanica Sinica

, Volume 31, Issue 3, pp 275–291 | Cite as

Recent progress in compressible turbulence

  • Shiyi ChenEmail author
  • Zhenhua Xia
  • Jianchun Wang
  • Yantao Yang
research paper


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.

Graphical Abstract

This paper reviews some recent research on compressible turbulence from the authors’ group, including fundamental studies on compressible isotropic turbulence (left) and applied studies on developing a constrained large eddy simulation method for wall-bounded turbulence (right). These topics are two of the main directions in current turbulence research, and our results, which are new and important, fill gaps in the relevant area.


Compressible turbulence Hybrid compact–WENO scheme  Compressibility effect Lagrangian study Constrained large eddy simulation 



This project was supported by the National Natural Science Foundation of China (Grants 11221061, 91130001, and 11302006) and the National Science Foundation for Postdoctoral Scientists of China (Grants 2011M500194 and 2012M520109).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Shiyi Chen
    • 1
    Email author
  • Zhenhua Xia
    • 1
  • Jianchun Wang
    • 1
  • Yantao Yang
    • 1
    • 2
  1. 1.State Key Laboratory for Turbulence and Complex Systems, Center for Applied Physics and Technology, College of EngineeringPeking UniversityBeijingChina
  2. 2.Physics of Fluids Group, Faculty of Science and Technology, MESA+ Research Institute, and J. M. Burgers Centre for Fluid DynamicsUniversity of TwenteAE EnschedeThe Netherlands

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