Based on Prandtl-Lecture, GAMM Annual Conference 2011, Graz
Turbulence statistics along gradient trajectories†
Article first published online: 21 NOV 2011
Copyright © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Volume 92, Issue 1, pages 4–7, January 2012
How to Cite
Peters, N. (2012), Turbulence statistics along gradient trajectories. Z. angew. Math. Mech., 92: 4–7. doi: 10.1002/zamm.201100073
- Issue published online: 2 DEC 2011
- Article first published online: 21 NOV 2011
- Manuscript Accepted: 5 OCT 2011
- Manuscript Received: 16 JUN 2011
- Deutsche Forschungsgemeinschaft. Grant Number: Pe 241/38-1
- gradient trajectories.
By calculating gradient trajectories in direction of ascending and descending scalar gradients a local maximum and a local minimum point is reached. Dissipation elements may then be defined as the spatial region from which the same pair of maximum and minimum points in a scalar field is reached. By exploring the two-point correlation of the scalar gradient along such trajectories it was found that for large elements the mean velocity increment scales linearly with the arclength distance along the trajectory. This is different from the classical Kolmogorov scaling and has consequences for the modeling of the length distribution of dissipation elements.