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.

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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