Assignments
(all problems are from the Vallis text,
unless otherwise noted)
- due 20 September Problems 1.1, 1.2, 1.3, 1.6,
1.7, and 1.8
- due 27 September Chpt. 1: 9, 10, 12,
13, and 14 + verify the vector identities used in class: Vallis, eqns 1.173 and 1.192.
- due 4 October 1.4, 1.15, 1.18, 1.20 and 2.19 (the part about the anelastic equations is optional)
- due 11 October 1.19, 2.1, 2.2, 2.12, 2.20
- due 18 October 2.5, 2.6, 2.7, 2.11, and 2.14
Note that for 2.11, it's easier to work in two dimensions (x and z, where x is a generic horizontal direction); the result will essentially be the same in 3-D, but the math is more complicated!
- due 25 October 2.4, 2.13, 2.16, 2.18
(note that 2.4c is hard; give it a good faith effort but don't kill yourself!)
... and some bonus material: Ferrel's 1856 "essay"
on the Coriolis force
- due 1 November 2.17, 2.23, 3.6
- due 8 November 3.1, 3.8, 3.13
- due 22 November 3.10, 3.12, 3.14, and then try your hand at 3.7. (It turns out that this problem is not solvable, at least in the way suggested by Geoff. This strategy does work in the 3-d case, however!)
- due 6 December 5.3, 5.6, 6.4 (assume beta=0), and work out the
interacting edge wave problem which we discussed in class, to obtain
the growth rate equation (6.42) in Vallis. Consider changes in
the parameters a and U_0. How do the most unstable growth rate and most unstable length scale change with each parameter? [Note that you might want to do this before tackling 6.4.]
- due 13 December 3.2, 5.4
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