|
週次 |
日期 |
單元主題 |
|
第1週 |
9/10 |
Course introduction: why studying QG, Rossby waves, and baroclinic instability? |
|
第2週 |
9/17 |
Shallow-water systems
Reading assignment: Ch. 2.1, 2.4, 2.5
Study assignments:
For the descriptions of momentum, mass, vorticity, and PV conservation, what are the differences between primitive equations and shallow-water system (refer to Vallis Ch. 4 for vorticity and PV)?
Please write them down and bring to the class for discussion
|
|
第3週 |
10/1 |
Shallow-water waves
Reading assignment: Ch. 2.6. (Inertio-gravity and Kelvin waves) + Vallis 6.4.1-6.4.3 (Rossby waves in a single layer)
Study assignments:
1. We linearize momentum and mass conservation equations to obtain the dispersion relation for shallow-water waves. What are the assumptions we made for these waves?
2. These waves may have preferred direction of propagation. For example, Kelvin wave leans on a boundary on its right in N.H, Rossby wave propagates westward relative to the mean flow. What are the associated mechanisms for such propagation?
3. Among inertio-gravity, Kelvin, and Rossby waves, which one propagates faster? What are the range of their frequency, wavelength? Their Rossby number?
|
|
第4週 |
10/08 |
Shallow-water QG
Reading assignment: Ch. 3-3.3.1
Study assignments:
1. What are the momentum, mass, vorticity, and PV conservation equations for shallow-water QG?
2. Following 1, what are the differences between shallow-water system and shallow-waster QG? |
|
第5週 |
10/15 |
Continuously stratified QG
Reading assignment: Ch. 3.4-3.6.4
Study assignments:
1. Compare momentum, mass, vorticity, and PV conservation equations between shallow-water system and single-layer QG. What are the differences?
2. Can you write down the linearized governing equations (in terms of free-surface perturbation) for shallow water system and QG?
What kinds of waves do they support? What are the differences?
3. Can you determine the wavelength and group velocity for stationary Rossby wave?
|
|
第7週 |
10/22 |
Mike Gregg lectures on diapycnal mixing and stratified turbulence |
|
第8週 |
10/29 |
Horizontal propagation of Rossby wave
--- Vallis Ch. 16.1-16.2 (謝庭維, 黃品鈞, 彭達剴)
Other references:
Hoskins and Karoly (1981)
Hoskins and Ambrizzi (1993)
These two papers appear to be important works on this subject |
|
第9週 |
11/05 |
mid-term week |
|
第10週 |
11/12 |
Hoskins & Karoly (1981)
(蕭維廷, 陳勇志, 林沅箴)
other reference:
Rossby wave ray tracing --- Vallis 16.9 |
|
第11週 |
11/19 |
Baroclinic instability: Eady model (Vallis 9.4-9.5)
1. 陳永真, 林廷恩, 蔣學博 present Eady model Please do the following:
(a) go through the mathematical model
(b) reproduce Fig. 9.10, 9.11, and 9.12
(c) plot Fig. 9.12 for different wavenumbers
2. 來拿期末報告的 numerical experiments
a. Exp setup: Eady-like basic flows with different Richardson numbers, Ekman numbers, and bottom slopes)
b. Files are big (100G). Please bring your external hard drive |
|
第12週 |
11/26 |
Baroclinic instability: Rossby wave interpretations (Hoskins 14.1-14.3)
1. 各說各話比賽：Each group presents their interpretation of baroclinic instability (10-15 mins)
2. I will try to make a summary statement |
|
第13週 |
12/03 |
1. Conditions of instability
2. Barotropic instability |
|
第14週 |
12/10 |
Data analysis --- testing Eady model (QG regime)
1. Each group briefly presents their analyses for the QG case |
|
第15週 |
12/17 |
For 12/17 and 12/24, we will have project presentations by 3 groups
Group 1: 陳永真, 林廷恩, 蔣學博
Testing Eady model + effects of bottom drag
Group 2: 蕭維廷, 陳勇志, 林沅箴
Effects of bottom slope
Group 3: 謝庭維, 黃品鈞, 彭達剴
Non-geostrophic effects |
|
第16週 |
12/24 |
Data analysis --- testing Eady model when the basic flows have large Rossby number |
|
第17週 |
12/31 |
Final week (no class) |