Geophysical Fluid Dynamics II: Stratified / Rotating Fluid Dynamics of the Atmosphere―Ocean (Springer Textbooks in Earth Sciences, Geography and Environment)

Preface
Contents
1 Hydro-Thermo-Dynamics of Stratified Fluids
	1.1 Basic Hydrodynamics: Continuity and Momentum Equations
	1.2 Thermodynamics
		1.2.1 First Law of Thermodynamics
		1.2.2 Mechanical and Thermal Energy Equations
		1.2.3 Equilibrium Thermodynamics
		1.2.4 Second Law of Thermodynamics
		1.2.5 Different Forms of the Thermodynamic Equation
	1.3 Thermodynamic Equations Applied to the Atmosphere and the Ocean
		1.3.1 Relative Roles of Compression in the Atmosphere and the Ocean
		1.3.2 Thermodynamic Equation for the Atmosphere
		1.3.3 Thermodynamic Equation for the Ocean
	1.4 Vorticity Dynamics
2 Basic State and Scales
	2.1 Existence of a ``Basic State''
	2.2 Scale Heights
	2.3 Perturbation Equations
	2.4 Order of Magnitude Analysis
	2.5 Scale Analyses
	2.6 Brunt–Väisälä (Stratification) Parameter
		2.6.1 Atmosphere
		2.6.2 Ocean
		2.6.3 Combined Equations for the Atmosphere and Ocean
3 Quasi-geostrophic Theory
	3.1 Development of Quasi-geostrophic Theory
	3.2 Quasi-geostrophic, Barotropic Motions
		3.2.1 Barotropic Rossby Waves
		3.2.2 Barotropic Rossby Waves in Basic Zonal Flows
		3.2.3 Barotropic Instability
	3.3 Quasi-geostrophic, Baroclinic Motions
		3.3.1 Rossby Waves in Quasi-geostrophic Stratified Fluids
		3.3.2 Boussinesq Approximations
		3.3.3 Physics Represented by Quasi-geostrophic Equations
		3.3.4 Quasi-geostrophic Motion Linearly Superposed on Uniform Current
		3.3.5 Energetics of Linear Motions Superposed on Uniform Zonal Flow
		3.3.6 Interpretation of Quasi-geostrophic Energetics
		3.3.7 Quasi-geostrophic Equations for Stratified Uniform Flow
		3.3.8 Quasi-geostrophic Motion in Stratified Uniform Flow
	3.4 Baroclinic Instability in a Uniform Zonal Current
		3.4.1 Integrated Equations
		3.4.2 Howard Semicircle Theorem
4 Internal Waves
	4.1 Basic Equations
		4.1.1 Re-Scaled Equations
		4.1.2 Oscillatory Motion in Stratified Environment (N2)
		4.1.3 Total Energy in a Boussinesq Fluid
		4.1.4 Further Manipulation of Boussinesq Equations
	4.2 Internal Gravity Waves Without the Effects of Earth's Rotation
		4.2.1 A Note on 3-D Internal Waves
		4.2.2 Internal Waves in the 2-D Plane
		4.2.3 Refraction of Internal Gravity Waves
		4.2.4 Reflection of Internal Gravity Waves on a Slope
	4.3 Internal Waves Under Joint Effects of Earth's Rotation  and Stratification
		4.3.1 Internal Inertia-Gravity Waves
		4.3.2 Horizontal Modes of Motion
		4.3.3 Case 1: Poincaré Waves, κh2>k2
		4.3.4 Case 2: Kelvin Waves, κ2h