First Class - Thursday, Sept 7 2017, 9:30am, EOS-Main room 101
The purpose of this course is to a) introduce the student to the dynamical principles governing the large-scale low-frequency motions in strongly rotating fluid systems (like the ocean, atmosphere, and planetary liquid core), and their consequences, and b) to develop the skills required to manipulate and use these equations to solve problems. At the end of this course, students should be able to
Write down the "standard equations" of GFD, identify the different terms, and explain how different dynamical features depend on these terms.
Define standard terms (the "language'' of GFD) and identify them when they arise in the context of dynamical interpretations.
Use the following mathematical techniques to simplify complex equation sets:
scaling arguments and perturbation expansions (incl. WKBJ)
normal mode techniques
complex exponentials in wave and instability problems
Choose the appropriate mathematical technique to simplify and solve particular "canonical'' GFD problems. Examples include:
Long Waves in Nonrotating systems (seiches, edge waves):
Long Waves in Rotating systems (Poincare, Sverdrup, Kelvin, Rossby)
Rossby Reflection and Adjustment problems
Rayleigh, baroclinic, and barotropic instability
Ekman boundary layers
None, or alternatively, most of the 'standard' GFD texts for different bits of the course. Plus stuff I have not seen anywhere.