DIFFRACTION OF WATER WAVES OVER BOTTOM DISCONTINUITIES.

Abstract

The study is concerned with the problems of propagation of water waves over abrupt bottom discontinuities, where the depth changes from one uniform depth (non-zero) to another uniform depth (finite or infinite). The change of depth extends over an infinite line in space. In the first part, theoretical values of the reflection and transmission coefficients and the corresponding phase shifts have been obtained for waves moving over a step-shaped bottom parallel to the wave fronts. The problem is considered as a boundary-value problem in potential-flow theory. The second part is devoted to the problem of the determination of characteristics of waves propagating over a rectangular submarine channel with vertical sides. A mathematical formulation of the problem as a three-dimensional boundary-value problem is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0661621

Entities

People

  • Nabil A. Hilaly

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Diffraction
  • Discontinuities
  • Flow
  • Phase Shift
  • Potential Flow
  • Reflection
  • Submarines
  • Three Dimensional
  • Water Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Coastal Oceanography
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.

Technology Areas

  • Space