SIO 212A: Geophysical Fluid Dynamics I
| Instructor: Jennifer
Time: Tuesdays and Thursdays, 11-12:20
The course will cover basic dynamics of rotating stratified flow,
generally applicable to both the ocean and atmosphere. Topics will
range from large-scale quasi-balanced flows to small-scale
turbulence. Prerequisits include graduate-level coursework in
fluid dynamics or permission of the instructor.
Homework and exams will be based only on material covered in
class. Useful additional information can be found in
Circulation" by Geoffrey Vallis (2006) [online e-reader here]
* "Introduction to Geophysical
Fluid Dynamics" by Benoit Cushman-Roisin and Jean-Marie
Beckers (2011), [online chapter PDFs here].
1/5: Introduction, basic equations (V 1, C 1 & 3)*
1/7: Rotating coordinate systems, earth's geoid (V 2.1-2.3, C 2)
1/12: Scaling, hydrostatic approximation, Boussinesq approximation
(V 2.4-2.7, C 3.7 & 4.3)
1/14: Eddy viscosity, Ekman spirals (V 2.12, C 4.2 & 8)
1/19: Ekman spirals (cont'd), Ekman transport (V 2.12, C 8)
1/21: No class, will schedule a make-up class.
1/26: More dimensionless numbers, shallow-water equations (V 3.1
& 2.8.1 & 2.12.1, C 2.3 & 4.5 & 7.1-7.3)
1/28: Geostrophic adjustment (V 3.8, C 15.2)
2/2: Potential vorticity (V 3.6.1, C 7.4) Shallow water PV conservation
2/4: Bottom ekman layers
2/9: Two layer shallow water equations
2/11: Thermal wind, internal waves (V 2.8.4, C 15.1)
2/16: Mid-term review and Intro to QG (V 5.3, C16 + Rick Salmon's
2/18: : Mid-term exam
2/23: Mid-term review and QG
2/25: QG continued and Rossby Waves
3/1: Continuously stratified equations
3/3: Baroclinic Instability I (V 6.5, V6.7, V6.8, C17.3-17.4)
3/10: tbd + review
3/17: GFD final exam
*Relevant sections in Vallis and Cushman-Roisin textbooks.
Office hours Jen:
students welcome to stop by anytime (OAR/Keck 260), but can be
useful to call ahead to make sure I'm there. Or make an
Homework 1 and associated paper Due 26
Homework 2 and SOLUTIONS
Quizzes and in-class
quiz: 07 Jan
quiz: 12 Jan
in-class: coastal upwelling
There will be a daily quiz at the beginning of some classes, which
will be graded on a pass/fail basis. You can miss up to 2 quizzes
with no consequence.
There will be homework due every week or two. You are encouraged to
work in groups, but please write up your own assignment. Assignments
will be posted here when available.
There will be both a mid-term and final exam. In each case you'll be
allowed to bring in one 8.5x11 piece of paper covered with whatever
you deem appropriate.
Each student will be asked to choose a relevant journal article
(with assistance from the instructor) and present it to the class
near the end of the quarter.
The final grade will determined as folows: daily quizzes (10%),
homework (25%), paper presentation (10%), mid-term (25%), final exam
Other useful references
Some reviews of descriptive physical oceanography:
210: Intro to Physical Oceanography
to Physical Oceanography" by Stewart, open source online
textbook (click on each chapter title to go there)
"Atmosphere-Ocean Dynamics" by Adrian Gill
"Geophysical Fluid Dynamics" by Joseph Pedlosky
"Lectures on Geophysical Fluid Dynamics" by
our own Rick Salmon (or ask
him in person)
"Fundamentals of Geophysical Fluid Dynamics" by
"Atmosphere, Ocean and Climate Dynamics, Volume 93: An Introductory
Text" by John Marshall and R. Alan Plumb
Turbulence in the ocean and
- "An Introduction to Turbulence" and "The
Turbulent Ocean", both by Steve Thorpe. These are excellent surveys
of the primary processes producing turbulence and turbulence mixing
in the ocean, intended for an advanced undergraduate audience.
- "A first course in turbulence" by Tennekes and
Lumley. A good theoreticaly rigorous treatment of turbulent
flows, vorticity dynamics, spectral methods and turbulent closures.
- "Small scale processes in geophysical
fluid flows" by Kantha and Clayson. Another excellent text, aimed at
the graduate level, covering a range of processes (especially
boundary layer dynamics) in both atmosphere and ocean.