Stationary Gravity Waves on Non-Uniform Free Streams.

Abstract

Two-dimensional stationary gravity wave solutions are given for streams with various velocity profiles such that the velocity is zero at depth. Solutions are found by using linearized equations and it is noted that unlike most flows over a rigid boundary solutions may be found for all non-zero surface velocities. New finite-amplitude solutions are derived for a stream consisting of a thin surface jet. The waves may be very steep with rounded crests and are called shear waves. Physical examples are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0744995

Entities

People

  • D. H. Peregrine

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Equations
  • Flow
  • Free Stream
  • Gravity
  • Gravity Waves
  • Secondary Waves
  • Stationary
  • Two Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Coastal Oceanography
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)