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Geophysical Fluid Dynamics

The content of this book is based, largely, on the core curriculum in geophys­ 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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Bibliographic Details
Main Author: Pedlosky, J.
Format: eBook
Language:English
Published: New York, NY Springer New York 1979, 1979
Edition:1st ed. 1979
Series:Springer Study Edition
Subjects:
Geophysics
Continuum Mechanics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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

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