January, 2002

Meto 611 Dynamics of the atmosphere and oceans II

Jupiter illustrates a variety of waves and instabilities
To see NASA mpeg movie* click on Jupiter

 

OUTLINE



 
Week 1 Introduction
Monday January 28 Scales of motion in the atmosphere and ocean.  Stratification. (classnotes, Rosen-Cushman #1.7) Intro ppt presentation
Wednesday January 30 Linearization of the equations of motion and simplifying assumptions (G#4.5, Benard Convection: movie* )
Friday February 1 
Energy, hyperbolic partial differential equations (G#4.6-4.7, square drum: movie , round drum: movie
Problem set #1 handed out
Week 2 Gravity waves -- no rotation or stratification (G#5)
Monday February 4
Derivations of shallow and deep water gravity waves (G#5.2)
Wednesday February 6
Particle motion, phase, and group velocity, short and long wave approximation, Energetics, adjustment under gravity. (G#5.3, 5.5, phase and group velocity: movie , Deep-water GW: movie , reflection: movie , refraction: movie ) simulation DWGW: movie
Friday February 8
seiches and tides in channels and gulfs (G#5.8) 
Problem set #2 handed out
Week 3 Gravity waves with stratification, part I (G#6)
Monday February 11 Guest Lecturer Dr. Senya Grodsky (5-5330, senya@atmos.umd.edu)
Derivation of a single equation for the interface variations in a two layer fluid, Rigid-lid and Boussinesq approximations (G#6.2-3).  Internal gravity waves radiated from storm fronts movie1 , movie2
Wednesday February 13 Guest Lecturer Dr. Senya Grodsky
Derivation of a single equation for the vertical velocity in a continuously stratified fluid with f; Brunt-Vaisala Frequency; scale height; energetics (G#6.4-5) Energetics not on MIDTERMI
Friday February 15 Guest Lecturer Dr. Senya Grodsky
Vertical propagation; Lee waves (G#6.8-9, simulation showing perpendicular phase and group velocity: movie.    Tank experiment showing Lee waves: avi movie . In the following note the change in propagation angle with period. Tank experiment with long period waves: a vi movie , tank experiment with short period waves: avi movie
Problem set #3 handed out
Week 4 Gravity waves with stratification, part II (G#6)
Monday February 18
Adjustment in a stratified fluid; normal modes of the ocean (G#6.11-13, SGW in a square tank, no rotation: avi movie , SGW and Kelvin Waves in a rotating tank, rotation period 5 sec, wave period 2.1 sec: avi movie)
 
Wednesday February 20
Adjustment in a compressible fluid; Sound waves, Lamb wave, 
anelastic approximation (G#6.14-15). Notes
 
Friday February 22
Kelvin Helmholtz instability (Rosen-Cushman #11.2-3 shear instability between two opposing layers: movie ,  instability of a buoyant plume: movie)
KH instability not on MIDTERM I
Problem set #4 handed out
Week 5 Gravity waves with stratification and rotation, part I (G#7-8)
Monday February 25
Adjustment to a geostrophic equilibrium (G#7.2-7.5) light water release. Notes
simulated no rotation: movie , rotation: movie , lab, no rotation: movie-sideview , movie-topview
rotation: movie-sideview , movie-topview 
Wednesday February 27
Effect of rotation on surface gravity waves Dispersion and energetics of inertia gravity waves (PoincareWaves); (G#8.1-2) Energetics not on MIDTERMI Notes
Friday March 1
Inertial oscillations and instability; Tides; (G#9.39.8 observed internal tidal soliton in SAR(?) imagery: movie ) Notes Tides not on MidtermI
Problem set #5 handed out
Week 6 Gravity waves with stratification and rotation, part II (G#8-9)
Monday March 4
Ray tracing and WKBJ approximation (G#8.12) notes
Wednesday March 6
Mountain waves; vertical propagation; Critical levels (G#8.8-9, observed lee waves: movie    Notes
Friday March 8
Midterm Examination I covering weeks 1-5 exam
Week 7 Forced and boundary motion (G#9-10)
Monday March 11
Kelvin-Helmholtz instability (this was a redo of 2-22) Notes
Wednesday March 13
Response to stationary forcing (G# 9.14-15) Simulated response to diabatic heating in midlatitudes: movie-side view , movie-top view (The blue arrows show geostrophic wind and the red ones the model wind)  Notes
Friday March 15
Poincare waves in a uniform channel; Coastal Kelvin waves; forced Kelvin Waves: storm surge (G#10.4, 10.9, simulated coastal Kelvin Waves: movie. SGW in a square tank, no rotation: avi movie , SGW and coastal Kelvin Waves in a rotating tank, rotation period 5 sec, wave period 2.1 sec: avi movie) Notes
Problem set #6 handed out
Week 8 Forced Motion II (G#9-10)
Monday March 18
simulated Kelvin Wave: movie ) Notes
Wednesday March 20
Equatorial beta-plane; Potential vorticity for a shallow homogeneous layer; Equatorial Kelvin waves (G#11.3-5, simulation: movie     Notes
Friday March 22
Other equatorially trapped waves (G#11.6-8) Notes
Problem set #7 handed out
Monday March 25 - Friday March 29 SPRING BREAK
- - -
Week 9 Tropical waves (G#11)
Monday April 1
Sub and supercritical flow in a 2-layer fluid (this lecture should have preceeded Kelvin-Helmholtz instability 2-22) Notes supercritical flow over bump animation: movie
Wednesday April 3
Forced motion; Yoshida jet; Equatorial Undercurrent Madden-Julian oscillations (G#11.12 and classnotes MJO: movie1 , particularly nice olr analysis showing projections onto KW, RW, RGW: movie2 ) Notes
Friday April 5
Forced steady motion in the tropics (G#11.15 and classnotes)  Notes
Problem set #8 handed out 
Week 10 Tropical interaction (several sources)
Monday April 8
Tropical atmospheric scaling, log pressure coordinates  (Holton #11.2-3 ) 
Wednesday April 10
Coupled instabilities and El Nino (Philander, 1986, observed SST: movieNotes
Friday April 12
Midlatitude scaling (Pedlosky#6.2 and course notes). Notes
Problem set #9 handed out
Week 11 Midlatitude planetary waves (G#12)
Monday April 15
Guest lecture by Olivier Pauluis : more on MJO and a bit on 2-layer models 
Wednesday April 17
Barotropic midlatitude Rossby Waves (G#12.2-12.3), reflections (G#12.9): movie Observed Rossby wave train and tropical convection: movie   Rossby waves in sea level: movie Baroclinic.  Notes
Friday April 19
Midterm examination II covering weeks 6-10 & KH-instability 
Week 12 Geophysical Instabilities, part I (G#13)
Monday April 22
Q.G. potential vorticity.Vertical propagation of Rossby Waves (G#12.7-8) wave-induced mean flow as a model for QBO, rotating tank: movie Notes
Wednesday April 24
Barotropic instability (G#13.6, Pedlosky #7.3) Simulation: movie Notes
Friday April 26
Instability of a two layer system (Holton #8.2, Pedlosky #7.11) Notes
Problem set #10 handed out
Week 13 Geophysical Instabilities, part II (G#13)
Monday April 29 Guest Lecture by Gennady Chepurin
Vertical motion in baroclinic waves; waves in the presence of a horizontal temperature gradient (G#13.2).  Notes The Eady Problem (G#13.3, Eady waves: movie )
Wednesday May 1 Guest Lecture by Gennady Chepurin
The Charney Problem (G#13.4)  Notes
Friday May 3 NO CLASS
Simulated Gulf Stream: movie (G#13.5)
 
Week 14 Synoptic applications
Monday May 6
The life cycle of a midlatitude baroclinic disturbance (G#13.9, Bluestein, classnotes, Problem set #11 handed out http://weather.gov/
Wednesday May 8
More on midlatitude baroclinic disturbances. (Bluestein) Simulated two-dimensional turbulence: movie , Blizzard: movie
Friday May 10
Tropical baroclinic disturbances (Bluestein) Hurricane Fran: movie
Week 15 Review
Monday May 13 LAST CLASS Review & lunch 
no class
Friday May 17, 2002 8-10am
Final Examination covering weeks 1-14 Examsolution

Additional websites you might look at:
John Marshall's rotating tank lab home page: http://paoc.mit.edu/labweb/


Lots of movies from the rotating tank lab at UW covering baroclinic instability, QBO, etc.: http://www.atmos.washington.edu/gfd_exp/exp_e/list/ .  Most are avi or gif format.
 

*The movies linked to from this page are from a variety of sources, but most are in mpeg format.  This format is readible from pcs with the windows media player.  It may not be readible from the alpha workstations without a plugin.  Proper credit is implied by the link.