Ray Method Expansions for Surface and Internal Waves in Inhomogeneous Oceans of Variable Depth,

Abstract

A ray method formalism is developed for the analysis of surface and internal waves in an inhomogeneous ocean of variable depth. This method, deduces from the governing system of equations a system of first order ordinary differential equations, for the group lines (rays of the ray method) and the propagation of phase and amplitude on them. The dispersion relation for these waves arises as an eigen-condition on an eigenvalue problem involving an ordinary differential equation in the depth variable. The deduced equation for amplitude propagation has the interpretation of a statement of conservation of action. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0722679

Entities

People

  • D. Hector
  • Jonathan D. Cohen
  • Norman Bleistein

Organizations

  • Denver Research Institute

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Differential Equations
  • Dispersion Relations
  • Dispersions
  • Eigenvalues
  • Equations
  • Internal Waves
  • Mathematics
  • Waves

Readers

  • Fluid Dynamics.
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.