The Development of Nonlinear Surface and Internal Wave Groups.

Abstract

The development of nonlinear surface and internal wave groups is investigated. Surface wave evolution was observed in an unusually long wave channel as a function of steepness and group length. Dissipation and frequency downshifting were important characteristics of the long-time evolution. The amplitude and phase modulations were obtained using the Hilbert transform and specified as an initial condition to the cubic nonlinear Schrodinger equation, which was solved numerically. This equation is known to govern the slowly varying complex modulation envelope of gravity waves on deep water. When dissipation was included, the model compared quite well with the observations. Phase modulation was used to interpret the long-time behavior, using the phase evolution of exact asymptotic solutions as a guide. The wave groups exhibited along-time coherence but not the recurrence predicted by the inviscid theory.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1982
Accession Number
ADA122113

Entities

People

  • Teresa Kathleen Chereskin

Organizations

  • Woods Hole Oceanographic Institution

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Carrier Waves
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Data Processing
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Fluid Mechanics
  • Froude Number
  • Measurement
  • Mechanics
  • Physics Laboratories
  • Plastic Explosives
  • Solitons
  • Stratified Fluids

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Wave Propagation and Nonlinear Chaotic Dynamics.