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Space-time energy spectra in turbulent shear flows

Ting Wu1,2 and Guowei He1,2,*

  • 1The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
  • 2School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

  • *hgw@lnm.imech.ac.cn
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Phys. Rev. Fluids 6, 100504 – Published 27 October, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.100504

Abstract

This article presents a review and perspectives on the models for space-time energy spectra in turbulent shear flows. The Taylor, Kraichnan-Tennekes, and elliptic approximation (EA) models are re-examined in terms of the picture of turbulent passage, which is proposed by Taylor's frozen-flow hypothesis and the Kraichnan-Tennekes random sweeping hypothesis; the stochastic dynamic models for reproduction of space-time energy spectra, such as dynamic autoregression model, are discussed; and the statistical models for reconstruction of space-time energy spectra from incomplete data sets in experimental measurements are revisited. We present three distinct approaches of successive approximation for developing the models of space-time energy spectra and use the conditional moments of energy distribution to characterize space-time energy spectra, such as propagation velocities and spectral bandwidths.

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2021 Invited Papers

Physical Review Fluids publishes a collection of papers associated with the invited talks presented at the 73nd Annual Meeting of the APS Division of Fluid Dynamics.

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Outline

Information

Phys. Rev. Fluids 6, 100504– Published 27 October, 2021
  • Received 14 July 2021
  • Accepted 13 October 2021
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