課程資訊
課程名稱
地球物理流體力學
GEOPHYSICAL FLUID DYNAMICS 
開課學期
95-1 
授課對象
理學院  大氣科學研究所  
授課教師
郭鴻基 
課號
AtmSci7023 
課程識別碼
229 M4060 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期二3,4(10:20~12:10)星期四2(9:10~10:00) 
上課地點
大氣系A104 
備註
總人數上限:40人 
 
課程簡介影片
 
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課程概述

1. Governing Equations
(a) Rotation and stratification
Rossby, Froude and Burger numbers
Buoyancy force and radiative-convective equilibrium
(b) Thermodynamics and the equation of state
(c) The exact primitive equations
(d) The primitive equations with the traditional and hydrostatic approximations
(e) The continuity equation and the anelastic and Boussineq approximations
(f) Some remarks on the ocean and atmosphere
2. Potential Vorticity
(a) Early developments of Kelvin and Bjerknes
(b) Ertel’s derivation
(c) Haynes and McIntyre’s theorem (Impermeability theorem)
3. Quasi-geostrophic Dynamis
(a) Governing equations
(b) Quasi-equilibrium dynamics
(c) Secondary circulation equation
(d) Non-acceleration theorem and the EP flux
4. Vertical Normal Modes of a Continuous Stratified Fluid
(a) Governing equations and boundary conditions
(b) Vertical transform and divergent barotropic primitive equations (shallow water equations)
(c) Barotropic (external) and baroclinic (internal) models
5. Divergent Barotropic Primitive Equations
(a) Linearization and nondimensionalization
(b) Eigenvalues and eigenfunctions on f plane and on equatorial Beta-plane
(c) Topography, Rossby, and vortex Rossby waves
(d) Geostrophic adjustment
(e) Potential vorticity principle, invertibility principle and the final geostrophically balanced state
6. Nondivergent Barotropic Equations
(a) From the divergent barotropic to the nondivergent barotropic model
(b) Barotropic instability
(c) Emergence of coherent structures in two-dimensional turbulence
(d) The binary vortex interactions
(e) Two-dimensional turbulence on the sphere: the Rhine’s barrier
(f) Two-dimensional turbulence and three-dimensional turbulence
7. Large-Scale Ocean Circulation
(a) Current without friction; geostrophic flow
(b) Current with friction; wind-driven circulation
(c) Sverdrup balance
(d) Westward intensification
Stommel’s contribution
Munk’s solution
Boundary-layer approach
(e) Thermohaline effect and abyssal circulation
8. Boundary Dynamics
(a) Boundary perturbation methods
(b) Ekman layer
(c) Ekman and Reynold numbers
(d) Marine stratocumulus and the mixed layer model
9. Typhoon Dynamics
(a) Ooyama’s cooperative intensification theory
(b) Balanced vortex theory and secondary circulation equation
(c) Track dynamics and the beta-gyre
(d) Vortex axisymmetrization and merger
(e) Asymmertric eye dynamics
10. Large-Scale Motion Near the Equator
(a) Buoyant convection and trimodal characteristics
(b) Dynamical adjustment of the trade wind inversion layer
(c) Heat induced tropical circulations
(d) Pooling of synoptic vorticity in the tropics
(e) ITCZ breakdown 

課程目標
課程內容以嚴謹數學物理闡述旋轉流體動力學,包含最近十年颱風動力的最新研究成果,以及過去數十年颱風對稱動力的總結。課程並將以數值實驗動畫,流力實驗動畫,配合數學物理公式教學。 
課程要求
 
預期每週課後學習時數
 
Office Hours
 
參考書目
1. B. Cushman-Roisin, Introduction to Geophysical Fluid Dynamics, Prentice-Hall, 1994.
2. A. E. Gill, Atmosphere-Ocean Dynamics, Academic Press, 1982.
3. J. Pedlosky, Geophysical Fluid Dynamics, Springer Verlag, 2nd edition, 1987.
4. J.R. Holton, An Introduction to Dynamic Meteorology, Elsevier Academic press, 4th edition, 2004.
5. R. Salmon, Lectures in Geophysical fluid Dynamics, Oxford University Press, 1998. 
指定閱讀
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
至多3次考試,以及數次作業或課堂報告 
100% 
 
 
課程進度
週次
日期
單元主題