Calculation of Far Field Radiation and Diffraction Wave Patterns Using the Kochin Function Approach for a Series of Ship Hulls

Abstract

The report presents the calculation procedure and numerical results for the far field radiation and diffraction wave patterns around a ship at zero forward speed. The calculation procedure uses the strip theory Ship Motions Program to obtain the motion transfer coefficients and singularity strengths in the form of the integrated Kochin functions. These results are then combined with an asymptotic expression for the far field wave elevation due to a three- dimensional oscillating source to obtain the ship wave patterns. The wave patterns are calculated for a series of six ships, including a strut like hull, excited by ambient waves representative of Sea States 2,4,6, and 8. The radiation waves are calculated for all six modes of ship oscillation. The diffraction waves are calculated for wave headings ranging from following seas to head seas. The accuracy of a commonly used long wavelength approximation to the Kochin function in which the singularity distribution over the hull surface is collapsed to a line distribution, is also discussed. Keywords: Far field waves; Strip theory; Radiation and diffraction; Kochin function.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1986
Accession Number
ADA173448

Entities

People

  • Henry T. Wang

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Computers
  • Coordinate Systems
  • Diffraction
  • Elevation
  • Far Field
  • Fluid Dynamics
  • Frequency
  • Long Wavelengths
  • Near Field
  • Oscillation
  • Radiation
  • Security
  • Ship Hulls
  • Ship Motion
  • Three Dimensional

Fields of Study

  • Physics

Readers

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