Numerical Analysis of Weakly Nonlinear Wave Turbulence (Hamilton's Principle, Wave-Wave Interactions, Oceanic Internal Waves, Relaxation Phenomena, Statistical Mechanics),

Abstract

This paper studies the propagation of weakly nonlinear waves. The analysis is applicable to plasma waves, surface water waves, the interaction of laser beams with matter, particle accelerators, etc. The specific motivation for this work is, however, the study of internal waves in the ocean. Hamilton's principle is used to write the fluid equations in Hamiltonian form in terms of linear eigenmode amplitudes. Numerical studies are made of the effect of Fourier grid size and resonance widths. Statistical information is generated from an ensemble of initial states of the random wave field. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA064546

Entities

People

  • James D. Meiss
  • Kenneth M. Watson
  • Neil Pomphrey

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Electrical Solitons
  • Energy
  • Energy Transfer
  • Equations
  • Equations Of Motion
  • Fluids
  • Frequency
  • Grids
  • Internal Waves
  • Numerical Analysis
  • Oscillation
  • Oscillators
  • Waves

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.

Technology Areas

  • Directed Energy