Lecture notes from the 2011 Woods Hole Geophysical Fluid Dynamics Program

``Shear Turbulence: Onset and Structure''

Fabian Waleffe, UW-Madison

This work was partially supported by the US National Science Foundation under Grant No. 0807349. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

The official complete set of lectures and Fellows research projects is available at the WHOI GFD 2011 Proceedings page as one massive download, please refer to that official publication for citation.

The lectures are provided here individually for your convenience. Note that pagination is different between the two sites at this time (Aug 2012). Hopefully this will get fixed.

Updated July 4, 2012, 10pm CST:

  1. Lecture 1, June 20, 2011   Big! General intro, transition thresholds, simple models
  2. Lecture 2, June 21, 2011   Brief overview of Turbulence folklore
  3. Lecture 3, June 22, 2011   Energy stability, linear stability, Squire's theorem
  4. Lecture 4, June 23, 2011   Sufficient conditions for stability (some new results)
  5. Lecture 5, June 24, 2011   Coriolis instability, Convection, Lorenz and SSP models
  6. Lecture 6, June 27, 2011   R1/3, SSP with critical layers, Exact coherent states,...
The final 4 lectures by Richard Kerswell, FRS, are linked below:
  1. Lecture 7, June 28, 2011   Transition scenarios
  2. Lecture 8, June 29, 2011   Edge tracking
  3. Lecture 9, June 30, 2011   Triggering turbulence efficiently
  4. Lecture 10, July 1, 2011   Turbulence: transient or sustained?