Accurate Computations for Steep Solitary Waves.

Abstract

Finite amplitude solitary waves in water of arbitrary uniform depth are considered. A numerical scheme based on collocation is presented to calculate the highest solitary wave. It is found that the ratio of the amplitude of the wave versus the depth is 0.83322. This value is about 0.006 higher than the values obtained by most previous investigators. In addition another numerical scheme based on an integro-differential formulation is derived to compute solitary waves of arbitrary amplitude. Thse calculations show that the results of Longuet-Higgins and Fenton are not accurate for very steep waves. Graphs and tables of the results are included.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA127706

Entities

People

  • J. -m. Vanden-broeck
  • J. K. Hunter

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Amplitude
  • Analytic Functions
  • Colorado
  • Computations
  • Contracts
  • Differential Equations
  • Equations
  • Froude Number
  • Integrals
  • Mathematics
  • Nonlinear Algebraic Equations
  • North Carolina
  • Solitons
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering