### Fundamentals of Atmosphere-Ocean Dynamics

Michael E. McIntyre

These lecture notes (acrobat file, 3.4 Mbyte)
formed the basis for a graduate course that I often gave
during my teaching years in the
Department of Applied Mathematics and Theoretical Physics,
in Part III of the Mathematical Tripos.

Some parts of the notes are in quite
good shape but others may not be, especially those parts
that weren't used in
the more recent versions of the lecture course, namely
sections 3.5, 4.2, 4.5 and 4.6.
I fear it may be some time before I can get around to tidying
it all up properly. So for now I'm
making the notes available on an `as is'
or `caveat emptor' basis -- not guaranteed to be
error-free!

Here are the four examples sheets for the course as most recently
taught:
sheet 1,
sheet 2,
sheet 3,
sheet 4.

The last question on sheet 4 invites the student to derive an
important result not covered in the notes, sometimes called the
*Taylor-Bretherton identity*,
after G. I. Taylor and F. P. Bretherton -- though it might be
historically more just to call it the
*Taylor-Charney-Stern-Bretherton-Eady-Green identity* --
so we'll probably end up with
*Taylor identity* for brevity. It is key to understanding
the fundamentally anti-frictional properties of stratified,
layerwise-two-dimensional turbulence, such as the
self-sharpening of jet streams. A
powerful generalization has recently been discovered by
W. R. Young.

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my home page
----
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Atmospheric Dynamics home page

Michael McIntyre (mem at damtp.cam.ac.uk),
DAMTP,
University of Cambridge,
Silver Street, Cambridge CB3 9EW

Fundamentals of Atmosphere-Ocean Dynamics
*This page first posted 14 July 2011;
last updated
12 September 2012*