Geophysical Fluid Dynamics [electronic resource] / by Joseph Pedlosky.
The content of this book is based, largely, on the core curriculum in geophysƯ ical fluid dynamics which I and my colleagues in the Department of Geophysical Sciences at The University of Chicago have taught for the past decade. Our purpose in developing a core curriculum was to provide to advanced...
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Language: | English |
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New York, NY :
Springer US,
1979.
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Table of Contents:
- 1 Preliminaries
- 1.1 Geophysical Fluid Dynamics
- 1.2 The Rossby Number
- 1.3 Density Stratification
- 1.4 The Equations of Motion in a Nonrotating Coordinate Frame
- 1.5 Rotating Coordinate Frames
- 1.6 Equations of Motion in a Rotating Coordinate Frame
- 1.7 Coriolis Acceleration and the Rossby Number
- 2 Fundamentals
- 2.1 Vorticity
- 2.2 The Circulation
- 2.3 Kelvin's Theorem
- 2.4 The Vorticity Equation
- 2.5 Potential Vorticity
- 2.6 The Thermal Wind
- 2.7 The Taylor-Proudman Theorem
- 2.8 Geostrophic Motion
- 2.9 Consequences of the Geostrophic and Hydrostatic Approximations
- 2.10 Geostrophic Degeneracy
- 3 Inviscid Shallow-Water Theory
- 3.1 Introduction
- 3.2 The Shallow-Water Model
- 3.3 The Shallow-Water Equations
- 3.4 Potential-Vorticity Conservation: Shallow-Water Theory
- 3.5 Integral Constraints
- 3.6 Small-Amplitude Motions
- 3.7 Linearized Geostrophic Motion
- 3.8 Plane Waves in a Layer of Constant Depth
- 3.9 Poincaré and Kelvin Waves
- 3.10 The Rossby Wave
- 3.11 Dynamic Diagnosis of the Rossby Wave
- 3.12 Quasigeostrophic Scaling in Shallow-Water Theory
- 3.13 Steady Quasigeostrophic Motion
- 3.14 Inertial Boundary Currents
- 3.15 Quasigeostrophic Rossby Waves
- 3.16 The Mechanism for the Rossby Wave
- 3.17 The Beta-Plane
- 3.18 Rossby Waves in a Zonal Current
- 3.19 Group Velocity
- 3.20 The Method of Multiple Time Scales
- 3.21 Energy and Energy Flux in Rossby Waves
- 3.22 The Energy Propagation Diagram
- 3.23 Reflection and the Radiation Condition
- 3.24 Rossby Waves Produced by an Initial Disturbance
- 3.25 Quasigeostrophic Normal Modes in Closed Basins
- 3.26 Resonant Interactions
- 3.27 Energy and Enstrophy
- Appendix to Chapter 3
- 4 Friction and Viscous Flow
- 4.1 Introduction
- 4.2 Turbulent Reynolds Stresses
- 4.3 The Ekman Layer
- 4.4 The Nature of Nearly Frictionless Flow
- 4.5 Boundary-Layer Theory
- 4.6 Quasigeostrophic Dynamics in the Presence of Friction
- 4.7 Spin-Down
- 4.8 Steady Motion
- 4.9 Ekman Layer on a Sloping Surface
- 4.10 Ekman Layer on a Free Surface
- 4.11 Quasigeostrophic Potential Vorticity Equation with Friction and Topography
- 4.12 The Decay of a Rossby Wave
- 4.13 Side-Wall Friction Layers
- 5 Homogeneous Models of the Wind-Driven Oceanic Circulation
- 5.1 Introduction
- 5.2 The Homogeneous Model
- 5.3 The Sverdrup Relation
- 5.4 Meridional Boundary Layers: the Munk Layer
- 5.5 Stommel's Model: Bottom Friction Layer
- 5.6 Inertial Boundary-Layer Theory
- 5.7 Inertial Currents in the Presence of Friction
- 5.8 Rossby Waves and the Westward Intensification of the Oceanic Circulation
- 5.9 Dissipation Integrals for Steady Circulations
- 5.10 Free Inertial Modes
- 5.11 Numerical Experiments
- 5.12 Ekman Upwelling Circulations
- 5.13 The Effect of Bottom Topography
- 5.14 Concluding Remarks on the Homogeneous Model
- 6 Quasigeostrophic Motion of a Stratified Fluid on a Sphere
- 6.1 Introduction
- 6.2 The Equations of Motion in Spherical Coordinates: Scaling
- 6.3 Geostrophic Approximation:? = O(L/r0)? 1
- 6.4 The Concept of Static Stability
- 6.5 Quasigeostrophic Potential-Vorticity Equation for Atmospheric Synoptic Scales
- 6.6 The Ekman Layer in a Stratified Fluid
- 6.7 Boundary Conditions for the Potential Vorticity Equation: The Atmosphere
- 6.8 Quasigeostrophic Potential-Vorticity Equation for Oceanic Synoptic Scales
- 6.9 Boundary Conditions for the Potential-Vorticity Equation: the Oceans
- 6.10 Geostrophic Energy Equation and Available Potential Energy
- 6.11 Rossby Waves in a Stratified Fluid
- 6.12 Rossby-Wave Normal Modes: the Vertical Structure Equation
- 6.13 Forced Stationary Waves in the Atmosphere
- 6.14 Wave-Zonal-Flow Interaction Theorems
- 6.15 Topographic Waves in a Stratified Ocean
- 6.16 Layer Models
- 6.17 Rossby Waves in the Two-Layer Model
- 6.18 The Relationship of the Layer Models to the "Level" Models
- 6.19 Geostrophic Approximation?? L/r0<1; the Sverdrup Relation
- 6.20 Geostrophic Approximation?? 1, L/r0 = O(1)
- 6.21 The Thermocline Problem
- 7 Instability Theory
- 7.1 Introduction
- 7.2 Formulation of the Instability Problem: The Continuously Stratified Model
- 7.3 The Linear Stability Problem: Conditions for Instability
- 7.4 Normal Modes
- 7.5 Bounds on the Phase Speed and Growth Rate
- 7.6 Baroclinic Instability: the Basic Mechanism
- 7.7 Eady's Model
- 7.8 Charney's Model and Critical Layers
- 7.9 Instability in the Two-Layer Model: Formulation
- 7.10 Normal Modes in the Two-Layer Model: Necessary Conditions for Instability
- 7.11 Baroclinic Instability in the Two-Layer Model: Phillips' Model
- 7.12 Effects of Friction
- 7.13 Baroclinic Instability of Nonzonal Flows
- 7.14 Barotropic Instability
- 7.15 Instability of Currents with Horizontal and Vertical Shear
- 7.16 Nonlinear Theory of Baroclinic Instability
- 8 Ageostrophic Motion
- 8.1 Anisotropic Scales
- 8.2 Continental-Shelf Waves
- 8.3 Slow Circulation of a Stratified, Dissipative Fluid
- 8.4 The Theory of Frontogenesis
- 8.5 Equatorial Waves
- Selected Bibliography.