ATOC 5061, Fall 2011 — Notes & Calendar

ATOC 5061: Dynamics of Oceans

Or, Waves in Oceans. Explores theories of the large-scale ocean, including quasigeostrophic, planetary geostrophic, and shallow water equations. Topics may vary to focus on ocean climate (e.g. thermocline, westward intensification), ocean waves (e.g. gravity, Rossby, and Kelvin), or ocean models (toy, analytic, and numerical). May be repeated up to 9 total credit hours. Prereqs., ATOC 5400 and ATOC 5051 or 5060 or equivalent.

Fall 2011 will focus on turbulence, from small scale to large-scale rotating, stratified turbulence of the oceans, but still using simple numerical models to illustrate. Fall 2010 focused more on ocean waves, instabilities, eddies, and wave-mean interaction, but still using simple numerical models to illustrate. In Spring 2009, the focus was mainly on ocean models, doing some hands-on numerical modeling of simple models, waves, and shallow water equations, as well as discussing toy and analytic models.

You can access the syllabus, private files, and class notes.

Class Meetings and Notes

Class meets Monday, Wednesday, and Friday 12:00-1:00 in Ekeley W240. A few class sessions will be extended to 90 minutes, 12:00-1:30 in Ekeley W240 as mentioned below. All assignments due at the beginning of class as scheduled. Office Hours are by appointment (check my availability). You can subscribe to a google calendar called "ATOC5061: Dynamics of Oceans" for reminders of dates and assignments.
Wk Reading

Large Print=Required, Small=Optional
Monday Wednesday Friday Assignment
(Due 12:01PM on Date)
1 Notes Part II
Linear Classification: Strogatz5.
Chaotic Pendulum: Shinbrot92
Stommel: Vallis15.3, Stommel61
8/22: Oscillators and Chaos: The Double Pendulum 8/24: Linear and Nonlinear Perturbations: Stommel Box Model 8/26 (90min), Hands on: SHO Model, Double/Chaotic Pendulum Model, Stommel Box Model Due 9/7: Assignment 1
2 Wilcox2
Notes Part I
Vallis 2.1-2.4
8/29 (90min): Stommel Box Model; Dimensional Analysis, Nondimensional Equations. 8/31: Boussinesq, incompressible approximations. 9/2: NO CLASS Due 9/7: Assignment 1
3 Vallis 2.1-2.4
McWilliams84
9/5: Labor Day Holiday 9/7: Eqtns for Rotating, Stratified Turbulence 9/9 (90min): Eqtns for Rotating, Stratified Turbulence; Inertial Oscillator hands on Due 9/19: Assignment 2
4 Vallis 8.1-8.2, 2.7-2.9; Thorpe 1
Kolmogorov 41
9/12 (90min): Basics of Turbulence 9/14: Basics of Rotating, Stratified Flow 9/16 (90min): Examples of Ocean Turbulence Due 9/19: Assignment 2
5 Notes Chp. 7
Chapman & Rizzoli 3.1-3.3
Drazin & Reid 1.1-1.4
Vallis 6.1-6.3;
9/19 (90min): Waves on a density interface 9/21: Instabilities on a shear & density interface 9/23 (90min): Necessary Conditions for Instability 1 Due 10/3: Assignment 3
6 Drazin & Reid 1.1-1.4
Drazin & Reid 4.21-4.23
Vallis 6.1-6.3;
9/26 (90min): Parallel shear flow 9/28: NO CLASS 9/30: NO CLASS Due 10/3: Assignment 3
7 Vallis 6.3, 5.1, 5.4, 5.6-5.8
McWilliams84
10/3 (90min): Scale Analysis of Instabilities on a Density & Shear Interface 10/5: QG 10/7 (90min): Waves in QG Due 10/17: Assignment 4
8 Vallis 6.4-6.8
Nakamura 93
10/10 (90min): Baroclinic instability, Necessary conditions 2 10/12: The Eady Problem 10/14 (90min): The Nakamura Problem Due 10/17: Assignment 4
9 Vallis 3.7-3.8, 5.1-5.3 Pedlosky 3 10/17 (90min): Waves & Instabilities in SWE 10/19: PG 10/21: (90min): Waves and instabilities in PG Due 10/31: Assignment 5
10 10/24: WCRP Meeting
NO CLASS
10/26: WCRP Meeting
NO CLASS
10/28: WCRP Meeting
NO CLASS
Due 10/31: Assignment 5
11 Vallis 8
Salmon 4
Fox-Kemper & Menemenlis
10/31 (90min): Back to Turbulence: Vorticity 11/2: 2d turbulence 11/4 (90min): Tracer and energy Spectra Due 11/28: Assignment 6
12 Vallis 9
Salmon 6
Fox-Kemper & Menemenlis
11/7 (90min): Geostrophic turbulence 11/9: QG Energy and tracer spectra; PV Homogenization 11/11 (90min): Nonlinear transfers; EDQNM Due 11/28: Assignment 6
13 Thorpe 3
Salmon 5.1-5.3
11/14: Boundary layer turbulence 11/16: BLT 11/18: BLT meets QG: the Submesoscale Due 11/28: Assignment 6
14 Fall Break Fall Break Fall Break Fall Break Fall Break
15 Vallis 10
Thorpe 5
Fox-Kemper & Menemenlis
11/28: Turbulent diffusion 11/30: Turbulence diffusion 12/2: Turbulence parameterizations Due 12/14: Assignment 7
16 12/5: AGU Meeting
NO CLASS
12/7: AGU Meeting
NO CLASS
12/9: AGU Meeting
NO CLASS
Due 12/14: Assignment 7
17 Exam Week Exam Week Exam Week Exam Week Due 12/14: Assignment 7

Web Resources and Texts

Course Specific

Textbooks

Primary

  1. Course Notes
  2. Vallis, Atmospheric and Oceanic Fluid Dynamics
  3. Salmon, Lectures on GFD
  4. Thorpe, An Introduction to Ocean Turbulence

Secondary

  1. Batchelor, The Theory of Homogeneous Turbulence
  2. Thorpe, The Turbulent Ocean
  3. Wyngaard, Turbulence in the Atmosphere
  4. Cushman-Roisin & Beckers, Intro. to GFD
  5. Pedlosky, GFD
  6. Pedlosky, Ocean Circulation Theory
  7. Pedlosky, Waves in the Ocean and Atmosphere
  8. Chapman and Malanotte-Rizzoli's Notes on Henderschott's Wave Motions in the Ocean
  9. LeBlond & Mysak, Waves in the Ocean
  10. Djikstra, Nonlinear Physical Oceanography
  11. McWilliams, Fundamentals of GFD
  12. Greenspan, The Theory of Rotating Fluids
  13. Zeitlin, Nonlinear Dynamics of Rotating Shallow Water
  14. Batchelor, An Intro. to Fluid Mechanics
  15. Kundu, Fluid Mechanics

Software and Toolkits

  1. Matlab Download Instructions
  2. Matlab File Exchange

The Models

  1. Simple Harmonic Oscillator
  2. Chaotic Pendulum
  3. Stommel Box Model
  4. Inertial Oscillator
  5. 1d Linear Surface Gravity Waves
  6. 1d Shallow Water Equations
  7. 2d Shallow Water Waves
  8. 2d Shallow Water Wave w/ betas
  9. 2d shallow water eqtns w/ beta in a box(matlab)
  10. Wind-Driven Gyres
  11. Eady/Charney
  12. 2-layer QG Turbulence
  13. Point Vortices
  14. Hetons
  15. The Unified Oscillator
  16. Gnanadesikan's MOC

Additional Fun Reading

Nonfiction

  1. Cook, The Three Voyages of Captain James Cook Round the World, Vol. 1.1, 1.2, 2.1, 2.2, 3.1, 3.2, 3.3.
  2. Maury, 1860: The Physical Geography of the Sea and Its Meteorology
  3. Darwin, The Voyage of the Beagle
  4. Darwin, The Structure and Distribution of Coral Reefs
  5. Sverdrup, New Land: Four Years in the Arctic Region
  6. Nansen, Farthest North, Vol 1 and Vol 2.
  7. M'Clintock, The Voyage of the Fox in the Arctic Seas
  8. Bowditch, The American Practical Navigator
  9. Philander, Our Affair with El Nino
  10. Emanuel, Divine Wind: The History and Science of Hurricanes

Fiction

  1. Dana, Two Years Before the Mast
  2. Defoe, Robinson Crusoe
  3. Homer, The Odyssey
  4. London, The Sea Wolf
  5. Melville, Moby Dick
  6. Stevenson, Treasure Island
  7. Verne, 20,000 Leagues Under the Sea

CU Specific Guidelines

  1. Disability Accomodations
  2. Religious Observance
  3. Classroom Behavior, *Note* Prof. Fox-Kemper regards inappropriate cellphone and laptop use as disruptive behavior.
  4. Student Code
  5. Discrimination & Harrassment
  6. Honor Code: here and here.