|
週次 |
日期 |
單元主題 |
|
第1週 |
9/09 |
Course introduction: why studying Rossby waves, instabilities, and wave-mean-flow interactions? |
|
第2週 |
9/16 |
Review of shallow-water systems (momentum and mass conservation, vorticity equation, PV, and circulation theorem) |
|
第3週 |
9/23 |
Recap of SW vorticity, PV, circulation theorem, and 2D flow.
Review of shallow-water waves (gravity, inertial-gravity waves) |
|
第4週 |
9/30 |
Typhoon break |
|
第5週 |
10/07 |
1. Finish up inertio-gravity and Kelvin waves
2. Rossby wave basics
a. Dispersion relation, propagation mechanism
b. Background PV gradient (intro.)
c. Dispersion circle (phase and energy propagation) |
|
第6週 |
10/14 |
1. Rossby wave observations (LinHo)
2. Shallow-water QG
(Comparing shallow-water systems without and with QG approximation)
3. Continuously stratified QG system |
|
第7週 |
10/21 |
1. Shallow-water QG
2. Sources of PV gradient & Rossby wave (beta, topography, surface deformation, and horizontal shear)
|
|
第8週 |
10/28 |
Student presentation (Project one) |
|
第9週 |
11/04 |
Continuously stratified QG system
Baroclinic instability I: Eady model
1. Observational motivations
2. Mathematical treatment (Linearized QGPV) |
|
第10週 |
11/11 |
Linho lecture
1. Importance of PV
2. Shear flow instability & stability criterion |
|
第11週 |
11/18 |
Baroclinic instability II: Eady model
1. Growth rate and dominant wavelength
2. Rossby wave interactions
3. Charney-Stern stability criterion
4. Introduce student data analysis project |
|
第12週 |
11/25 |
Baroclinic Instability III
1. Wave structure: Westward phase tilt and meridional heat transport
2. Comments on beta effects & two-layer Phillips model |
|
第13週 |
12/02 |
Student project presentation
---- analyzing primitive-equation simulations of Eady-type problems (QG and non-QG) |
|
第14週 |
12/09 |
Wave-mean-flow interaction I
1. eddy vorticity flux ---- Taylor identity & link to circulation theorem
2. Formulation |
|
第15週 |
12/16 |
Wave-mean-flow interaction II (2D continued)
1. momentum convergence into stirred region ---- Rossby wave & momentum fluxes
2. Psudomomentum & non-acceleration theorem |
|
第16週 |
12/23 |
Wave-mean-flow interaction in continuously stratified QG system I
1. eddy PV flux
2. Eliassen–Palm flux & Rossby wave propagation |
|
第17週 |
12/30 |
Student project presentation
(tentative numerical experiments : stirring in barotropic vorticity equation) |
|
第18週 |
1/6 |
1. Project III Presentation
2. LinHo summary presentation |