A Ray Theory for Nonlinear Ship Waves with Amplitude Interaction.

Abstract

The effect on ship waves of the nonlinear free surface boundary condition and nonuniform flow are considered. The wave number is represented by a function of space and the wave slope, ak. The value of ak turned out to be a larger than the critical value (0.447) in the wide area near the bow, except when the wave crest is nearly perpendicular to the ship hull; fortunately, the latter is the most significant case. Yim's previous work on ray theory is used to include the full nonlinear effect; the ray and the wave phase of a Wigley hull are computed by the present method and are compared with previous results. When compared to the nonuniform flow effect, the nonlinear free surface effect increases further both the Kelvin wedge angle near the bow and the difference of wave phase from the predictions of linear theory. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1983
Accession Number
ADA127790

Entities

People

  • Bohyum Yim

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Boundary Layer
  • Cartesian Coordinates
  • Coordinate Systems
  • Differential Equations
  • Dispersion Relations
  • Flow Fields
  • Frequency
  • Froude Number
  • Nonuniform Flow
  • Reflection
  • Ship Bows
  • Ship Hulls
  • Surface Properties
  • Two Dimensional
  • Water Waves
  • Wave Power
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Marine Hydrodynamics

Technology Areas

  • Space