Europhys. Lett.
Volume 65, Number 3, February 2004
Page(s) 344 - 350
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 January 2004
Europhys. Lett., 65 (3) , pp. 344-350 (2004)
DOI: 10.1209/epl/i2003-10095-1

Stringy turbulence kinematics

D. Kivotides and A. Leonard

Graduate Aeronautical Laboratories, California Institute of Technology Pasadena, CA 91125, USA

(Received 22 May 2003; accepted in final form 21 November 2003)

The kinematics of a model of purely structured turbulence are compared with fully resolved Navier-Stokes solutions corresponding to smaller $Re_{\lambda}$ numbers. Key kinematic aspects of turbulence like the average growth of material lines and surfaces, the tendency of the material length vectors to align with the expansive rate-of-strain eigenvector and the shapes of the joint histograms of the Lyapunov exponents of the left stretch tensor are reproduced qualitatively. The ratios of average values of the Lyapunov exponents (scaled with the Kolmogorov time scale) are close but the absolute values differ by a factor of 2.

47.27.Eq - Turbulence simulation and modeling.
47.27.Ak - Fundamentals.
47.27.Gs - Isotropic turbulence; homogeneous turbulence.

© EDP Sciences 2004