https://doi.org/10.1051/epjconf/202531804002
Spectrum of Reynolds stress for anisotropic turbulence and Taylor expansion of small-scale velocity
Department of Mathematics and Mechanics, Department of Physics, Saint-Petersburg State, University of Aerospace Instrumentation (SUAI), 67, Bolshaya Morskaia str., SPb, 190000, Russia
* Corresponding author: balonishnikov@guap.ru
Published online: 17 February 2025
Solution of the small-scale velocity transport equation for incompressible fluid in anisotropic turbulence as Taylor series in time is used for obtaining of explicit expression for the Reynolds Stress spectra. The initial condition is isotropic with a given turbulent energy spectrum. It is assumed that low-order terms are sufficient for correct description for the period about the time turnover of large-scale eddies. The averaging is taken over this period, the integral scale of turbulence and three uniformly distributed random phases of initial isotropic velocity. It is assumed that isotropic energy spectrum is given. The Craya-Herring components of small-scale velocity (polarization Fourier components) are used. Obtained Reynolds stress contain the mean dissipation rate of kinetic energy.
© The Authors, published by EDP Sciences, 2025
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