ATM S 509/OCEAN 512 Geophysical Fluid Dynamics I

Winter 2002
http://www.atmos.washington.edu/2002Q1/509/

MWF 9:30-10:20: Lectures in OSB 425
Th 12:30-1.20: Lab demonstrations in OSB 107
Instructor:
Prof. Chris Bretherton
breth@atmos.washington.edu
ATG 704, x5-7414
Office hours: MW 10:30-11:20,
or by appointment.
Lab Coordinator:
Prof. Peter Rhines
rhines@ocean.washington.edu
212 ORB, x3-0593
Teaching Assistant:
Simon DeSzoeke
deszoeke@atmos.washington.edu
722 ATG, x5-9523.
Office hours Tu 2:30-3:20, Th 1:30-2:20.


Course description Prerequisites Syllabus Textbook Grading Schedule Homework and Exams Handouts Lab descriptions Matlab scripts Message Board

Course Description

Dynamics of rotating stratified fluid flow in the atmosphere/ocean and laboratory analogues. Equations of state, compressibility, Boussinesq approximation. Geostrophic balance, Rossby number. Poincare, Kelvin, Rossby waves, geostrophic adjustment. Ekman layers, spin-up. Continuously stratified dynamics: inertia gravity waves, potential vorticity, quasigeostrophy.

Prerequisites

A course in basic fluid mechanics, such as AMATH 505/ATMS 505/OCEAN 511

Textbook

Gill, A.E., 1982: Atmosphere-Ocean Dynamics. Academic Press [G in syllabus]

Other useful texts:
Cushman-Roisin, B., 1994: Introduction to Geophysical Fluid Dynamics, Prentice-Hall, 320 pp. (recommended; a good basic treatment) [CR in syllabus]
Pedlosky, J., 1979: Geophysical Fluid Dynamics. Springer-Verlag (more mathematically sophisticated and in-depth, esp. for discussions of vorticity, PV, and quasigeostrophic scaling; on reserve at Fisheries-Oceanography Library). [P in syllabus]

Syllabus

(updated as term progresses)
Lecture number Date Topic Suggested Reading
(G: Gill, P: Pedlosky, CR: Cushman-Roisin)
1-4 Jan 7-16 What is GFD?. Density of air/water. Compressibility and potential density/temperature). Hydrostatic balance in a fluid at rest. Static stability. G1-2,3.1-3.7; CR 1
5-10 Jan 18-28 Scale analysis. The hydrostatic approximation and pressure coordinates. The Boussinesq approximation. Rotating reference frame. Eqns. of motion for stratified, rotating incompressible flow on a sphere. The f and beta plane approximations. Geostrophic and thermal wind balance. G4, 7.6-7.7; P1, 2.6-2.9, 6.1-6.2; CR 2-3
11-12 Jan 29-30 Shallow water equations (SWE) and two-layer approximation. G5.6-5.8, 6.1-6.3, P3.1-3.6
13-19 Feb 1-15 Rotating linear SWE on an f-plane. Rossby adjustment problem. Potential vorticity. Inertial oscillations, Poincare waves, dispersion and group velocity, Kelvin waves. G7.2, 8.1-8.6, 10.2-10.5 ; P3.7-3.9; CR 6.2-6.3
20-22 Feb 20-25 Flow over topography. Linear internal inertia-gravity waves in a continuously stratified fluid. Critical levels. G6.4-6.8, 8.4-8.9
23-24 Feb 27-Mar 1 Circulation, vorticity and potential vorticity in a continuously stratified rotating fluid G7.9-11, P2.1-2.5
24-26 Mar 1-6 Ekman layers, Ekman pumping, and Sverdrup transport. G9.6, 9.2, 9.4, 9.12, 11.13, 12.4; P4.1-4.7; 5.1-5.4; CR 5
27-28 Mar 8-11 Rossby waves on a beta plane. Quasigeostrophic scaling in SWE. G12.1-3, P3.10-3.19; CR 6.4-5

Grading

Special days

We 9 Jan, We 13 Mar, Fr 15 Mar - I will be out of town.
These classes rescheduled as follows:
Vacations - no class

Homework and Exams

Item Due Date Download Solutions
Homework #1 due We 23 Jan HW #1 Solutions
Homework #2 due Fr 01 Feb HW #2 Solutions
Homework #3 due We 13 Feb HW #3 Solutions
Take-home midterm due We 20 Feb Midterm Solutions
Homework #4 due Fr 01 Mar
Homework #5 due Mo 11 Mar
Take-home final due Th 21 Mar

Handouts

Handouts from class will be posted here.

Handout Date

Descriptions of Lab Demos

Please read the detailed discussions of Peter Rhines' weekly lab demos in the links in the table below. Note: these are from a prior year. The ordering and content of the labs is subject to change, so I apologize in advance if the description does not match what we actually do on a given day!

Date Lab description
10 Jan Buoyancy, properties of air and water. Images.
17 Jan Lab 1 continued...Pressure, vapor pressure, momentum flux, chaotic water-wheel.
24 Jan Waves I. Images.
31 Jan Coriolis effects in a rotating fluid. Images.
7 Feb Geostrophic flow and geostrophic adjustment. Images.
14 Feb Ekman layers and spin-up.

Matlab scripts

Matlab scripts relevant to class material:

Name Description
wavemaker.m Poincare wavemaker numerical simulation for midterm prob. 3.

<breth@atmos.washington.edu> Fri Jan 11 14:21:42 2002