Compressible effects on statistics and small-scale structures in homogeneous shear turbulence

ORAL

Abstract

The compressible effects on statistics and small-scale structures of stationary homogeneous shear turbulence (HST) are studied by numerical simulations in a three-dimensional rectangular domain. The results show that pseudo-sound modes dominate compressible velocity field at turbulent Mach number (Mt) less than 0.1, giving rise to a 4th power law of Mt for normalized compressible kinetic energy and dissipation rate. As Mt grows to larger than 0.3, acoustic modes become dominate and a quadratic scaling of Mt is observed for spectra of compressible velocity and pressure. The strain rate eigenvalue ratio tends to be -1:0:0 at relative high Mt, implying the existence of sheet-like structures. Some interesting features about vortex stretching and enstrophy production in HST are also discussed.

*This work was supported by NSFC Grant Nos. 11702127, 91752201 and 11672123; the Thousand Talents Plan for Young Professionals; Grant No. JCYJ20170412151759222; Grant No. 2016QNRC001.

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Presenters

  • Song Chen

    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China

Authors

  • Song Chen

    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China

  • Jianchun Wang

    • Southern University of Science and Technology, China
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, Guangdong 518055, P. R. China

  • Hui Li

    • School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, P. R. China
    • School of Power and Mechanical Engineering, Wuhan University, Wuhan, Hubei 430072, P. R. China

  • Minping Wan

    • Department of Mechanics and Aerospace Engineering Southern University of Science and Technology
    • Department of Mechanics and Aerospace Engineering Southern University of Science and Technology, Shenzhen 518055, China
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, Guangdong 518055, P. R. China

  • Shiyi Chen

    • Department of Mechanics and Aerospace Engineering Southern University of Science and Technology, State Key Laboratory for Turbulence and Complex Systems and Center for Applie
    • Department of Mechanics and Aerospace Engineering Southern University of Science and Technology, Shenzhen 518055, China, State Key Laboratory for Turbulence and Complex Syste
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China, State Key Laboratory of Turbulence and Complex
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, Guangdong 518055, P. R. China, State Key Laboratory of Turbulence
    • Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, P. R. China, State Key Laboratory for Turbulence and Comple