課程大綱

課程資訊

課程名稱	地球物理流體力學專題三 Topics in Geophysical Fluid Dynamics (Ⅲ)
開課學期	106-2
授課對象	理學院海洋物理組
授課教師	陳世楠
課號	Ocean5110
課程識別碼	241 U6070
班次
學分	1.0
全/半年	半年
必/選修	選修
上課時間	星期五6(13:20~14:10)
上課地點	海研115
備註	總人數上限：8人
Ceiba 課程網頁	http://ceiba.ntu.edu.tw/1062Ocean5110_GFD
課程簡介影片
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課程概述	The theme of the discussion course for this semester is wave-mean-flow interaction in quasi-geostrophic (QG) systems. We will try to understand, for instance, how the wave activity induced by stirring in midlatitude atmosphere leads to momentum convergence and the maintenance of a zonal jet. Mathematical models for the mean flow will be studied. We will closely follow Vallis’s GFD book Chapter 10 on the subject. The course format is student-led presentation and discussion. By helping each other, we hope to gain understanding for wave-mean-flow interaction that is central to ocean and atmospheric general circulation. We will meet “every other week” for 2 hours. The main text is: 1. Atmospheric and Oceanic Fluid Dynamics by Vallis (2nd Ed., Chap 10) Other references: 1. Issac Held’s WHOI GFD summer school lecture (https://www.gfdl.noaa.gov/wp-content/uploads/files/user_files/ih/lectures/woods_hole.pdf) 2. A theoretical discussion of eddy-driven mean flows by Rhines and Holland (DA) 1979)
課程目標	The objectives are to provide the students/researchers opportunities to develop a better understanding for classic GFD problems through discussions and exercises.
課程要求	Oral presentation and discussion participation
預期每週課後學習時數
Office Hours
指定閱讀	待補
參考書目	We will discuss journal articles and book chapters
評量方式 (僅供參考)

課程進度

週次	日期	單元主題
第1週		Course introduction, paper assignment
第3週	3/16	Review of Quasi-Geostrophic PV conservation and Rossby waves 1. QG (single layer) a. fdshort.pdf page 61-73 b. John Taylor's note Ch. 3 2. QG (stratified) a. fdshort.pdf page 85 3. Rossby waves a. fdshort.pdf Ch. 4.1-4.3 b. Taylor's note Ch. 4.0
第5週	3/30	Motivations: observations of surface westerlies ---- Fucent Hsu To read (in 311840_Vallis_3.pdf) 1. The Ferrel Cell (Ch. 14.7) 2. Surface westerlies (Ch. 15.1) Other ref: Issac Held's WHOI lecture (section 1)
第7週	4/13	Eddy vorticity and momentum fluxes in linearized equations (Ch. 10.1, 10.2, 10.3)
第9週	4/27	mid-term week
第10週	5/4	Dr. Pei-Chun Hsu's talk on zonal flow formation & PV fluxes
第11週	5/11	Eliassen-Palm flux (Ch. 10.2) Mean-flow momentum equation: The Transformed Eulerian Mean (TEM) (Ch. 10.3)
第12週	5/18	Eliassen-Palm flux (Ch. 10.2) Mean-flow momentum equation: The Transformed Eulerian Mean (TEM) (Ch. 10.3) E-P fluxes (Hoskins book chapter 16) --- by 林悅琪林沅箴
第14週	6/1	Review sets of equations for wave-mean-flow interactions 1. QG momentum --- Rossby-number expansion, filtering out inertial gravity waves 2. QGPV 3. mean PV conservation ( dq_bar/dt = -d/dy(v'q'); d = partial derivatives) 4. linearized q' evolution eq (dq'/dt + ubar dq'/dx + v' dq_bar/dy = 0) 5. v'q' = divergence of E-P flux 6. Wave activity conservation dA/dt + v'q' = 0 v'q' = div of F 7. Transformed Eulerian Mean --- Lagrangian averaging in the vertical 8. Interpretation for E-P flux (1) F = Cg*A --- as wave energy flux (2) du/dt -fva = div of F (TEM mom) --- as easterly momentum flux
第16週	6/15	1. Interpretation for E-P flux (continued) 2. Eddy form stress: what does it mean ?? (Ch. 10.4) 3. Ceppi et al. (2013)
第17週		Synthesis Application to the Eady problem (Ch. 10.5)