Weakly Nonlinear Interactions and Wave-Trapping.

Abstract

When the flow over a submerged, round, upright cylinder, situated in a large ocean, is forced by a train of plane waves, linear theory (Yamamuro, 1981) shows that the response can be abnormally large for certain forcing frequencies. The aim of this paper is to present a weakly nonlinear theory, where wave interactions, arising from the quadratic terms in the free-surface boundary conditions, can yield abnormally large responses. A specific interaction will be considered between a flow at a subharmonic frequency and a flow at the driving frequency. The reason for considering such an interaction derived from a consideration of some experimental results of Barnard, Pritchard and Provis (1981). (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA103856

Entities

People

  • Yuriko Renardy

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coefficients
  • Contracts
  • Differential Equations
  • Dispersion Relations
  • Equations
  • Excitation
  • Frequency
  • Geometry
  • Materials
  • Mathematics
  • North Carolina
  • Plane Waves
  • Surface Properties
  • Two Dimensional
  • United States
  • Water Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.