Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics

✍ Scribed by Joseph Pedlosky

• Publisher: Springer
• Year: 2003
• Tongue: English
• Leaves: 267
• 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

Title......Page 2
Preface......Page 4
Contents......Page 6
Lecture 1 Introduction......Page 8
Wave Kinematics......Page 9
Lecture 2 Kinematic Generalization......Page 16
Example......Page 22
Lecture 3 Equations of Motion; Surface Gravity Waves......Page 26
First Wave Example: Surface Gravity Waves......Page 27
Boundary Conditions......Page 30
Plane Wave Solutions for Surface Gravity Waves: Free Waves (pa= 0)......Page 33
Lecture 4 Fields of Motion in Gravity Waves and Energy......Page 40
Energy and Energy Propagation......Page 42
Addendum to Lecture......Page 46
Lecture 5 The Initial Value Problem......Page 48
Discussion......Page 56
Lecture 6 Discussion of Initial Value Problem (Continued)......Page 60
Lecture 7 Internal Gravity Waves......Page 66
Group Velocity for Internal Waves......Page 72
Lecture 8 Internal Waves, Group Velocity and Reflection......Page 74
Lecture 9 WKB Theory for Internal Gravity Waves......Page 82
Normal Modes (Free Oscillations)......Page 86
Lecture 10 Vertical Propagation of Waves: Steady Flow and the Radiation Condition......Page 98
Lecture 11 Rotation and Potential Vorticity......Page 114
Lecture 12 Large-Scale Hydrostatic Motions......Page 126
Potential Vorticity: Layer Model......Page 127
Rossby Adjustment Problem......Page 130
Energy......Page 136
Lecture 13 Shallow Water Waves in a Rotating Fluid; Poincare and Kelvin Waves......Page 140
Channel Modes and the Kelvin Wave......Page 143
The Kelvin Mode......Page 149
Lecture 14 Rossby Waves......Page 156
Lecture 15 Rossby Waves (Continued), Quasi-Geostrophy......Page 166
Quasi-Geostrophic Rossby Waves......Page 176
Lecture 16 Energy and Energy Flux in Rossby Waves......Page 180
The Energy Propagation Diagram......Page 182
The Reflection of Rossby Waves......Page 184
The Spin-Down of Rossby Waves......Page 187
Lecture 17 Laplace Tidal Equations and the Vertical Structure Equation......Page 190
Lecture 18 Equatorial Beta-Plane and Equatorial Waves......Page 200
The Equatorial Beta-Plane......Page 201
Lecture 19 Stratified Quasi-Geostrophic Motion and Instability Waves......Page 212
Topographic Waves in a Stratified Fluid......Page 215
Waves in the Presence of a Mean Flow......Page 216
Boundary Waves in a Stratified Fluid......Page 218
Baroclinic Instability and the Eady Model......Page 220
Lecture 20 Energy Equation and Necessary Conditions for Instability......Page 228
General Conditions for Instability......Page 234
Lecture 21 Wave-Mean Flow Interaction......Page 238
Problem Set 1......Page 246
Problem Set 2......Page 247
Problem Set 3......Page 248
Problem Set 4......Page 249
Problem Set 6......Page 250
Problem Set 8......Page 251
Problem Set 9......Page 252
Problem Set 11......Page 253
Problem Set 12......Page 254
References......Page 256
Index......Page 260