Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics

✍ Scribed by Joseph Pedlosky

• Publisher: Springer
• Year: 2003
• Tongue: English
• Leaves: 268
• Edition: 1
• Category: Library

✦ Synopsis

WAVES IN THE OCEAN AND ATMOSPHERE presents a study of the fundamental theory of waves appropriate for first year graduate students in oceanography, meteorology and associated sciences. Starting with an elementary overview of the basic wave concept, specific wave phenomena are then examined, including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, geostrophic adjustment, quasi-geostrophic waves and potential vorticity, wave-mean flow interaction and unstable waves. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results. The book contains numerous exercises at the end of the respective chapters.

✦ Table of Contents

Qffsv35leqX8E5puoT6IyTMC5CQ2mvqKLkszdHCN6nVdJJAJ18bV2XBKf5Xa......Page 1
Waves in the ocean and atmosphere - Introduction to wave dynamics_Joseph Pedlosky (Springer 2003 267s)......Page 2
Title......Page 3
Preface......Page 5
Contents......Page 7
Lecture 1 Introduction......Page 9
Wave Kinematics......Page 10
Lecture 2 Kinematic Generalization......Page 17
Example......Page 23
Lecture 3 Equations of Motion; Surface Gravity Waves......Page 27
First Wave Example: Surface Gravity Waves......Page 28
Boundary Conditions......Page 31
Plane Wave Solutions for Surface Gravity Waves: Free Waves (pa= 0)......Page 34
Lecture 4 Fields of Motion in Gravity Waves and Energy......Page 41
Energy and Energy Propagation......Page 43
Addendum to Lecture......Page 47
Lecture 5 The Initial Value Problem......Page 49
Discussion......Page 57
Lecture 6 Discussion of Initial Value Problem (Continued)......Page 61
Lecture 7 Internal Gravity Waves......Page 67
Group Velocity for Internal Waves......Page 73
Lecture 8 Internal Waves, Group Velocity and Reflection......Page 75
Lecture 9 WKB Theory for Internal Gravity Waves......Page 83
Normal Modes (Free Oscillations)......Page 87
Lecture 10 Vertical Propagation of Waves: Steady Flow and the Radiation Condition......Page 99
Lecture 11 Rotation and Potential Vorticity......Page 115
Lecture 12 Large-Scale Hydrostatic Motions......Page 127
Potential Vorticity: Layer Model......Page 128
Rossby Adjustment Problem......Page 131
Energy......Page 137
Lecture 13 Shallow Water Waves in a Rotating Fluid; Poincare and Kelvin Waves......Page 141
Channel Modes and the Kelvin Wave......Page 144
The Kelvin Mode......Page 150
Lecture 14 Rossby Waves......Page 157
Lecture 15 Rossby Waves (Continued), Quasi-Geostrophy......Page 167
Quasi-Geostrophic Rossby Waves......Page 177
Lecture 16 Energy and Energy Flux in Rossby Waves......Page 181
The Energy Propagation Diagram......Page 183
The Reflection of Rossby Waves......Page 185
The Spin-Down of Rossby Waves......Page 188
Lecture 17 Laplace Tidal Equations and the Vertical Structure Equation......Page 191
Lecture 18 Equatorial Beta-Plane and Equatorial Waves......Page 201
The Equatorial Beta-Plane......Page 202
Lecture 19 Stratified Quasi-Geostrophic Motion and Instability Waves......Page 213
Topographic Waves in a Stratified Fluid......Page 216
Waves in the Presence of a Mean Flow......Page 217
Boundary Waves in a Stratified Fluid......Page 219
Baroclinic Instability and the Eady Model......Page 221
Lecture 20 Energy Equation and Necessary Conditions for Instability......Page 229
General Conditions for Instability......Page 235
Lecture 21 Wave-Mean Flow Interaction......Page 239
Problem Set 1......Page 247
Problem Set 2......Page 248
Problem Set 3......Page 249
Problem Set 4......Page 250
Problem Set 6......Page 251
Problem Set 8......Page 252
Problem Set 9......Page 253
Problem Set 11......Page 254
Problem Set 12......Page 255
References......Page 257
Index......Page 261