Fluid Dynamics in Earth and Planetary Sciences (FDEPS)
　First FDEPS Workshop 
　Dec 6 - 10, 1999
　Graduate School of Mathematical Sciences, University of Tokyo 

Lecture Series
Waves, turbulence and mean-flow generation in geophysical flows
Dr. P.H. Haynes (DAMTP, Cambridge University)

Lecture Plan

• Lecture 1,2：
  Waves and wave mean-flow interaction in a simple 2DVD(two-dimensional vortex dynamics) system: part I, II Basics of wave propagation and wave mean-flow interaction are discussed using 2DVD system on a beta plane as an example.
• Lecture 3：
  General theories of wave propagation and wave mean-flow interaction This lecture would generalise to 3D systems (EP flux etc), might include nonlinear wave activity relations, but probably wouldn't get to Generalised Lagrangian Mean Theory.
• Lecture 4：
  The mean-flow response and the mean meridional circulation The mean flow response in a stratified rotating system is discussed, including issues such as the downward control principle.
• Lecture 5：
  The equatorial quasi-biennial oscillation The QBO is discussed as a real example of wave-mean flow interaction, including meridional circulation issues mentioned in lecture (4).
• Lecture 6：
  Self-organization, jets and transport barriers This lecture would discuss topics such as the formation of the polar vortex and the tropopause and coupling between transport and dynamics. (This would be more speculative and broad-brush than the previous lectures.)

Comments from Dr. P. Haynes:

Note that the above schedule is quite ambitious -- the pace will have to be faster than the standard courses that I teach here (and in which the students have to take an examination), but it will be slower than the pace in a research seminar. Of course when I actually put the lecture material together it may be necessary to make some changes -- I hope that won't matter too much.

Here are some things that I would NOT be able to go through in detail with the above schedule:

- potential vorticity and potential vorticity inversion
- derivation of the quasigeostrophic equations
- idea of beta plane
- basics of waves and instability, group velocity, normal modes, growth rates as eigenvalues

I will use 2DVD system as a paradigm and then probably write down the quasigeostrophic equations, noting the similarity in structure, but without formal derivation. I might want to discuss aspects of barotropic and baroclinic shear instability without having worked through example problems such as the Eady problem in detail.