A Derivation of Equations for Wave Propagation in Water of Variable Depth

Abstract

Within the scope of the three-dimensional theory of homogeneous incompressible inviscid fluid, this paper contains a derivation of a system of equations for propagation of waves in water of variable depth. The derivation is effected by means of the incompressibility condition, the energy equation, the invariance requirements under superposed rigid body motions, together with a single approximation for the (three-dimensional) velocity field.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA028779

Entities

People

  • Alex E.S. Green
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Incompressibility
  • Invariance
  • Linear Momentum
  • Mechanics
  • Partial Differential Equations
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional
  • Water Waves
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.