7.3 Wave Solutions

Chu
Tue Nov 28 17:09:58 PST 2000 > 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

000000000000">CHAPTER III GENERAL FEATURES OF OCEAN WAVES

• 3.1 Description of Ocean Waves
• 3.2 Wave Dispersion
• 3.3 Multi-Dimensional Waves
• 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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