Midterm: Friday February 15th. More details will appear.
Our goal: To gain a thorough understanding of the fundamental processes governing oceanic and dry atmospheric motions. The focus will be on the response of these fluids to gravity and to apparent forces arising from the rotation of the earth.
Textbook: Adrian Gill, Atmosphere-Ocean Dynamics. Section numbers in the syllabus without the preface "V" refer to Gill's book. Geoff Vallis has posted draft material for the second edition to Atmospheric and Oceanic Fluid Dynamics here. Download the two draft chapters on waves from Geoff's site. We will use some of this and send him feedback. Section numbers preceded by "Vn" refer to this material. Joe Pedlosky's Geophysical Fluid Dynamics is another very useful reference.
Contact Info/Office hours: MW 1:30-2:30 PM in ATG 504 or by appointment email or phone (206) 543-7440.
Lab/quiz section: Wed 3:30-4:20 in either ATG 310 or the GFD lab (107 OSB). Website for Prof. Peter Rhines GFD lab.
Grading: 50% homework; 20% midterm; 30% final.
Review of Wave Kinematics
- Phase speed and group velocity. Vn, pp 3-12 (up to 1.2.3)
Small-amplitude motion in a nonrotating density-stratified fluid under a gravitational restoring force. (Gill, Chapter 6)
- Background: shallow-water waves derived via the hydrostatic approximation (5.6)
- 2004 Indian Ocean Tsunami
- Velocities under water waves (needs Java -- but don't install Java on your machine unless you deal with its security issues)
- Two superimposed homogeneous fluids with a single interface; internal and external waves. (6.1)–(6.3)
- Internal gravity waves in a continuously stratified, incompressible fluid. (6.4)–(6.7)
- Normal modes: the connection between shallow water theory and hydrostatic motion in a continuously stratified fluid. (6.11)
- Waves in a compressible fluid. (6.14)
- Coriolis and Centrifugal forces (4.5.1); better in Pedlosky pp. 14-21.
- Constant angular momentum (Inertial) oscillations.
- Geostrophic adjustment, geostrophic balance and the thermal wind. (7.1)- (7.7)
- Circulation, vorticity and potential vorticity. (7.9)-(7.11)
- Effect of rotation on surface gravity waves. (8.1)-(8.3)
- Ekman layers and spin down (9.2), (9.4), (9.12)
Small-amplitude motion in a rotating fluid with variations in the basic state potential vorticity
• Barotropic Rossby waves (12.1)-(12.3)
• Quasi-geostrophic shallow-water motions.
Linear instability theory
• Kelvin-Helmholtz instability(Vallis, pp. 248-249)
The syllabus page shows a table-oriented view of the course schedule, and the basics of course grading. You can add any other comments, notes, or thoughts you have about the course structure, course policies or anything else.
To add some comments, click the "Edit" link at the top.