Courses:

Wave Motion in the Ocean and the Atmosphere >> Content Detail



Syllabus



Syllabus


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Basic Topics to be Covered


  1. General wave concepts and kinematics
    1. Wave kinematics: amplitude, phase, wave number, frequency, phase velocity, dispersion relation
    2. method of stationary phase, group velocity, energy flux
    3. slowly varying media: conservation of crests, ray equations
  2. Surface gravity waves
    1. potential theory, deep-water waves
    2. shallow water waves
    3. energy and energy equation
    4. initial value problem — slowly varying medium
  3. Internal gravity waves
    1. internal wave equation
    2. unbounded stratified fluid
    3. internal waves modified by rotation — unbounded fluid
    4. variable buoyancy frequency — slowly varying medium
    5. the oceanic wave-guide for a stratified, rotating fluid
    6. internal wave reflection from a solid boundary
  4. Waves in homogenous, rotating flows
    1. Laplace's tidal equations: horizontal and vertical structure equations
    2. Poincare' and Kelvin waves
    3. Rossby or planetary waves
    4. quasi-geostrophic Rossby waves
    5. reflection of Rossby waves
    6. equatorial beta plane, equatorial waves
  5. Topographic effects
    1. topographic Rossby waves
    2. bottom-trapped waves
    3. edge and continental shelf waves
    4. coastal-trapped waves in a stratified fluid
  6. Wave-mean flow interactions
    1. vertical propagation of waves: steady flow, radiation condition
    2. Rossby waves with stratification
    3. quasi-geostrophic potential vorticity equation in a stratified atmosphere
    4. topographically forced, steady Rossby waves over a zonal flow: atmosphere
    5. waves over a mean flow: ocean
    6. Eady problem
    7. energetics for instability conditions


Text Books


Amazon logo Pedlosky, Joseph. Waves in the Ocean and Atmosphere Introduction to Wave Dynamics. New York, NY: Springer-Verlag, 2003, p. 260. ISBN: 9783540003403.

Amazon logo Gill, Adrian. Atmosphere-Ocean Dynamics. New York, NY: Academic Press, 1982, p. 662. ISBN: 9780122835223.


 








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