Fundamental principles of geophysical fluid dynamics will be applied to study oceanic motions on scales from hundreds of kilometers down to centimeters. Topics will include wave motions, instabilities and turbulence.

- Waves -- using surface gravity waves as an example.
- Basics of waves
- Group velocity
- Surface gravity waves
- Shallow water system
- Ray equations
- Inhomogeneous media
- WKB including mean currents
- Nonlinear waves
- Solitary waves
- General linearized waves in rotating stratified fluid
- Linear waves in compressible stratified fluids.
- Laplace tidal equations notes - part 1.
- Laplace tidal equations notes - part 2.
- Laplace tidal equations notes - part 3.
- Acoustic waves.
- Slides on acoustic waves.
- Internal gravity waves
- Boundaries, topography, and tides
- Tidal generating potential
- Animation
- Laplace tidal equations (hydrostatic)
- Long waves with rotation and boundaries
- Free and forced modes in a basin
- Instabilities
- Lecture Rayleigh Benard convective instabilities.
- Lorenz 1963 paper.
- Lecture Kelvin Helmholtz instabilities.
- Turbulence
- Introduction to turbulent flows.
- Energy budgets of turbulent flows.
- Homogeneous isotropic 3D turbulence.
- Upwelling and River plumes
- Problem Sets