ME632A

Geophysical Fluid Dynamics

Credits:

 

 

3-0-0-0 (9 Credits)

 

Course Content:

To introduce analytical approaches for solving fluid dynamic problems arising in atmosphere and oceans.

Prerequisite:

Basic fluid mechanics, basic ordinary and partial differential equations

Course Content:

To introduce analytical approaches for solving fluid dynamic problems arising in atmosphere and oceans.

Desirable:

ME681, ME631 (or equivalents)

Instructor:

Anirban Guha

Lectures per week:

3 hrs

Condensed Syllabus:

Equations of motion in rotating coordinate frames, Cartesian approximations, Density stratified flows and internal gravity waves, Taylor-Proudman theorem, Ekman layer, single and multiple layered shallow-water systems, Geostrophic adjustment and Thermal-wind balance, Potential vorticity, Poincare, Kelvin and Rossby waves, Kelvin-Helmholtz instability, Baroclinic instability, Wave-mean theory, 2D turbulence, chaotic advection in Stratosphere, Laplace tidal equations, Internaltides in deep oceans, tsunami waves.

Lecturewise Breakup (based on 75min per lecture)


I. Introduction: (7 Lectures)

  • Equations of motion in rotating coordinate frames.

  • Cartesian approximations: f-plane and beta-plane.

  • Effect of density stratification, Boussinesq systems, gravity waves.

  • Taylor-Proudman problem.

  • Ekman layer.

II. Inviscid Shallow-water theory: (15 Lectures)

  • Shallow-water theory - single and multiple layers

  • Geostrophic adjustment and Thermal-wind balance.

  • Potential vorticity conservation.

  • Poincare, Kelvin and Rossby waves.

  • Quasi-geostrophy.

  • Simplified equations of oceans and atmosphere.

III. Instabilities, wave-mean flow interaction and turbulence: (10 Lectures)

  • Kelvin-Helmholtz instability, Baroclinic instability, Eady problem.

  • Wave-mean theory, Eliassen-Palm flux.

  • 2D turbulence, inverse cascade and zonal jet formation.

IV. Advanced topics in geophysical fluid dynamics: (8 Lectures)

  • Stratospheric transport.

  • Laplace tidal equations, internal tide generation in deep oceans.

  • Tsunamis.

References:

  1. Atmospheric and Oceanic Fluid Dynamics, G. K. Vallis

  2. Geophysical Fluid Dynamics, J. Pedlosky