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Basic Topics to be Covered
- General wave concepts and kinematics
- Wave kinematics: amplitude, phase, wave number, frequency, phase velocity, dispersion relation
- method of stationary phase, group velocity, energy flux
- slowly varying media: conservation of crests, ray equations
- Surface gravity waves
- potential theory, deep-water waves
- shallow water waves
- energy and energy equation
- initial value problem — slowly varying medium
- Internal gravity waves
- internal wave equation
- unbounded stratified fluid
- internal waves modified by rotation — unbounded fluid
- variable buoyancy frequency — slowly varying medium
- the oceanic wave-guide for a stratified, rotating fluid
- internal wave reflection from a solid boundary
- Waves in homogenous, rotating flows
- Laplace's tidal equations: horizontal and vertical structure equations
- Poincare' and Kelvin waves
- Rossby or planetary waves
- quasi-geostrophic Rossby waves
- reflection of Rossby waves
- equatorial beta plane, equatorial waves
- Topographic effects
- topographic Rossby waves
- bottom-trapped waves
- edge and continental shelf waves
- coastal-trapped waves in a stratified fluid
- Wave-mean flow interactions
- vertical propagation of waves: steady flow, radiation condition
- Rossby waves with stratification
- quasi-geostrophic potential vorticity equation in a stratified atmosphere
- topographically forced, steady Rossby waves over a zonal flow: atmosphere
- waves over a mean flow: ocean
- Eady problem
- energetics for instability conditions
Text Books
Pedlosky, Joseph. Waves in the Ocean and Atmosphere Introduction to Wave Dynamics. New York, NY: Springer-Verlag, 2003, p. 260. ISBN: 9783540003403.
Gill, Adrian. Atmosphere-Ocean Dynamics. New York, NY: Academic Press, 1982, p. 662. ISBN: 9780122835223.