Full Description
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, and geostrophic adjustment. 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.
Contents
1 Introduction.- 2 Kinematic Generalization.- 3 Equations of Motion; Surface Gravity Waves.- 4 Fields of Motion in Gravity Waves and Energy.- 5 The Initial Value Problem.- 6 Discussion of Initial Value Problem [Continued).- 7 Internal Gravity Waves.- 8 Internal Waves, Group Velocity and Reflection.- 9 WKB Theory for Internal Gravity Waves.- 10 Vertical Propagation of Waves: Steady Flow and the Radiation Condition.- 11 Rotation and Potential Vorticity.- 12 Large-Scale Hydrostatic Motions.- 13 Shallow Water Waves in a Rotating Fluid; Poincare and Kelvin Waves.- 14 Rossby Waves.- 15 Rossby Waves (Continued), Quasi-Geostrophy.- 16 Energy and Energy Flux in Rossby Waves.- 17 Laplace Tidal Equations and the Vertical Structure Equation.- 18 Equatorial Beta-Plane and Equatorial Waves.- 19 Stratified Quasi-Geostrophic Motion and Instability Waves.- 20 Energy Equation and Necessary Conditions for Instability.- 21 Wave-Mean Flow Interaction.- Problems.- References.
