9.2 Basic Equations for Kelvin Waves

ESS> Nov 28 17:09:58 PST 2000 N00058120000000000000">(2) Longshore Coriolis force is small

(3) Acceleration in cross coastal direction is small

(4) Nondivergent in cross coastal direction

cross coastal direction

9.2 Basic Equations for Kelvin Waves

9.3 Barotropic Kelvin Waves

• (1) Kelvin wave propagates only in one direction
• (2) Kelvin wave is basically a shallow water wave

9.4 Equatorial Kelvin Waves

• (1) Equatorial Kelvin wave propagates only in one direction
• (2) Equatorial Kelvin wave is basically a shallow water wave

#SECTION00052400000000000000">3.4 Group Velocity

3.5 Basic Procedure for Obtaining Wave Solutions

CHAPTER IV BASIC EQUATIONS AND BOUNDARY CONDITIONS

• 4.1 Boussinesq Approximation
• 4.2 Boundary Conditions
  • (1) Fixed Solid (Rigid) Boundary
  • (2) Material Boundary
• 4.3 Free Surface Condition
  • (1) Dynamic Condition
  • (2) Kinematic Condition (Material Surface)

CHAPTER V LINEARIZATION OF DYNAMIC SYSTEM

• 5.1 Basic Equations for Ocean Waves
• 5.2 Means and Perturbations
• 5.3 Perturbation Method

CHAPTER IV ENERGETICS OF LINEAR WAVES

• 6.1 Two Important Forms of Energy
  • (1) Kinetic Energy (Per Unit Mass)
  • (2) Available Potential Energy (Per Unit Mass)
• 6.2 Wave Energy Transfer

CHAPTER VII SURFACE GRAVITY WAVES

• 7.1 Assumptions
• 7.2 Basic Equations for Surface Gravity Waves
• 7.3 Wave Solutions
• 7.4 Short Wave (Deep Wave) Approximation
• 7.5 Water Particle Motions of a Deep Water Wave
• 7.6 Long Wave (Shallow Water Wave)
  • (1) Dispersion Relation for long waves
  • (2) Phase Speed
  • (3) Group Velocity
• 7.7 Water Particle Motions of Shallow Waves

CHAPTER VIII INERTIAL?INTERNAL WAVES

• 8.1 Introduction
• 8.2 Basic Equations
  • (1) DIVERGENCE EQUATION
    • (2) VORTICITY EQUATION
  • (3) CONTINUITY EQUATION
  • (4) INERTIAL-INTERNAL WAVE EQUATION
  • (5) INTERNAL GRAVITY WAVE EQUATION
  • (6) INERTIAL (POINCARE) WAVE EQUATION
  • (7) WAVE SOLUTIONS
• 8.3 Dispersion Relation
• 8.4 Oceanic Waveguide

CHAPTER IX COASTAL AND EQUATORIAL TRAPPED WAVES

• 9.1 Generation of Coastal Trapped Waves
  • (1) Hydrostatic (Long wave)
  • (2) Longshore Coriolis force is small
  • (3) Acceleration in cross coastal direction is small
  • (4) Nondivergent in cross coastal direction
• 9.2 Basic Equations for Kelvin Waves
• 9.3 Barotropic Kelvin Waves
  • (1) Kelvin wave propagates only in one direction
  • (2) Kelvin wave is basically a shallow water wave
• 9.4 Equatorial Kelvin Waves
  • (1) Equatorial Kelvin wave propagates only in one direction
  • (2) Equatorial Kelvin wave is basically a shallow water wave

CHAPTER X PLANETARY ROSSBY WAVES

• 10.1 Vorticity Oscillation
• 10.2 Quasi-Geostrophic Potential Vorticity (QGPV)
  • (1) Adiabatic
  • (2) Inviscid
  • (3) Rossby number much less than 1
• 10.3 Rossby Wave Equation
• 10.4 Barotropic Rossby Waves
• 10.5 Baroclinic (Internal) Rossby Waves

CHAPTER XI BAROTROPIC AND BAROCLINIC

INSTABILITIES

• 11.1 Unstable Waves
• 11.2 Barotropic Instability
• 11.3 Baroclinic Instability
• 11.4 Procedures for Instability Analysis
  • (1) Identify mean values and perturbations
  • (2) Find an equation for perturbations
  • (3) Assume the normal mode solutions
• 11.5 Eady Model
• 11.6 Charney Model
• node101.html

AME="tex2html97" HREF="node96.html#SECTION000511410000000000000">(1) Identify mean values and perturbations

(2) Find an equation for perturbations

(3) Assume the normal mode solutions

11.5 Eady Model

11.6 Charney Model

node101.html

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