Hamburg 2001 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 12: Strukturbildung und Turbulenz II
DY 12.2: Vortrag
Montag, 26. März 2001, 11:15–11:30, S 5.5
Scaling Exponents in Anisotropic Turbulence from the Navier-Stokes Equations — •Anna von der Heydt1,2, Siegfried Grossmann1, and Detlef Lohse2 — 1Fachbereich Physik, Philipps-Universität Marburg, Renthof 6, 35032 Marburg — 2Department of Applied Physics and J. M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
The second order velocity structure tensor of strongly turbulent, weakly anisotropic turbulence is decomposed into its SO(3) invariant amplitudes dj(2)(r). A variable scale mean field theory is employed to analytically derive the scaling of the dj(2)(r) from the Navier-Stokes equation. In the isotropic sector j=0 Kolmogorov scaling d0(2) (r) ∝ r2/3 is recovered. The scaling of the higher (even) amplitudes depends on the external forcing which is maintaining the turbulent flow.