A METHOD FOR CALCULATING AND PLOTTING SURFACE WAVE RAYS.

Abstract

A method using a digital computer and an incremental plotter for calculating and plotting wave rays is described. Given a grid of depth values, the initial position of a wave ray, and the direction of travel and the period of the wave, successive points along the ray path are calculated. For each point on the path, water depth and bottom slope are estimated from the depth grid by linear interpolation, wave speed and curvature are computed according to classic theory, and the location of the next successive point is approximated by an iteration procedure. The numerical results may be plotted automatically. An example of the results, obtained from an application of the method to Virginia Beach, Virginia, is presented. Unless the bathymetry of an area is unusually smooth, this method calculates and plots wave rays faster than they can be manually constructed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0636771

Entities

People

  • W. Stanley Wilson

Organizations

  • Virginia Institute of Marine Science

Tags

DTIC Thesaurus Topics

  • Bathymetry
  • Computers
  • Curvature
  • Digital Computers
  • Geometry
  • Interpolation
  • Iterations
  • Mathematics
  • Plotters
  • Plotting
  • Surface Waves
  • Virginia
  • Waves

Readers

  • Approximation Theory.
  • Geodesy
  • Wave Propagation and Nonlinear Chaotic Dynamics.