Waves in the Ocean and Atmosphere: Introduction to Wave Dynamics [1 ed.] 3540003401, 9783540003403
A study of the fundamental theory of waves appropriate for first year graduate students in oceanography, meteorology and
327 61 14MB
English Pages 268 [257] Year 2003
Table of contents :
Cover......Page 1
Waves in the Ocean and Atmosphere-2......Page 3
Preface......Page 5
Contents......Page 7
Lecture 1: Introduction......Page 9
Lecture 2: Kinematic Generalization......Page 16
Example......Page 22
Lecture 3: Equations of Motion......Page 26
Lecture 4: Fields of Motion......Page 39
Lecture 5: The Initial Value Problem......Page 47
Lecture 6: Discussion of Initial Value Problem......Page 59
Lecture 7: Internal Gravity Waves......Page 65
Lecture 8: Internal Waves, Group Velocity & Reflection......Page 73
Lecture 9: WKB Theory for Internal Gravity Waves......Page 81
Lecture 10: Vertical Propagation of Waves......Page 96
Lecture 11: Rotation & Potential Vorticity......Page 112
Lecture 12: Large Scale Hydrostatic Motions......Page 123
Lecture 13: Shallow Water Waves in a Rotating Fluid......Page 136
Lecture 14: Rossby Waves......Page 152
Lecture 15: Rossby Waves, Quasi Geostrophy......Page 162
Lecture 16: Energy & Energy Flux in Rossby Waves......Page 175
Lecture 17: Laplace Tidal & Vertical Structure Equations......Page 185
Lecture 18: Equatorial Beta Plane & Waves......Page 194
Lecture 19: Stratified Quasi Geostrophic Motion......Page 206
Lecture 20: Energy Equation......Page 221
Lecture 21: Wave-Mean Flow Interaction......Page 230
PROBLEMS......Page 237
References ......Page 247
Index......Page 250
Cover......Page 1
Waves in the Ocean and Atmosphere-2......Page 3
Preface......Page 5
Contents......Page 7
Lecture 1: Introduction......Page 9
Lecture 2: Kinematic Generalization......Page 16
Example......Page 22
Lecture 3: Equations of Motion......Page 26
Lecture 4: Fields of Motion......Page 39
Lecture 5: The Initial Value Problem......Page 47
Lecture 6: Discussion of Initial Value Problem......Page 59
Lecture 7: Internal Gravity Waves......Page 65
Lecture 8: Internal Waves, Group Velocity & Reflection......Page 73
Lecture 9: WKB Theory for Internal Gravity Waves......Page 81
Lecture 10: Vertical Propagation of Waves......Page 96
Lecture 11: Rotation & Potential Vorticity......Page 112
Lecture 12: Large Scale Hydrostatic Motions......Page 123
Lecture 13: Shallow Water Waves in a Rotating Fluid......Page 136
Lecture 14: Rossby Waves......Page 152
Lecture 15: Rossby Waves, Quasi Geostrophy......Page 162
Lecture 16: Energy & Energy Flux in Rossby Waves......Page 175
Lecture 17: Laplace Tidal & Vertical Structure Equations......Page 185
Lecture 18: Equatorial Beta Plane & Waves......Page 194
Lecture 19: Stratified Quasi Geostrophic Motion......Page 206
Lecture 20: Energy Equation......Page 221
Lecture 21: Wave-Mean Flow Interaction......Page 230
PROBLEMS......Page 237
References ......Page 247
Index......Page 250
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3540003401, 9783540003403](https://ebin.pub/img/200x200/waves-in-the-ocean-and-atmosphere-introduction-to-wave-dynamics-1nbsped-3540003401-9783540003403-o-6559085.jpg)
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3540003401, 9783540003403](https://ebin.pub/img/200x200/waves-in-the-ocean-and-atmosphere-introduction-to-wave-dynamics-1nbsped-3540003401-9783540003403.jpg)
