An Approach to the Analysis of the Modification of Surface Waves by Depth-Varying Current Fields.

Abstract

An approach is developed for analyzing the modifications of surface waves by depth-varying current fields. The approach is based on an approximate dispersion relation for wave-current interactions derived from the governing equations of the problem (the inviscid Orr-Sommerfeld equations) coupled with the wave kinematic/wave action formulation of surface wave propagation. The approach is particularly useful in that it focuses directly on the wave parameters of interest (the amplitude, frequency, direction, and wavelength of the wave) and eliminate the requirement to solve the inviscid Orr-Sommerfeld equations to derive these parameters. The validity of the approach is demonstrated by comparisons with exact Orr-Sommerfeld solutions. Keywords: Wave-current interactions.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA175506

Entities

People

  • Richard A. Skop

Organizations

  • Rosenstiel School of Marine, Atmospheric, and Earth Science

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Availability
  • Capillary Waves
  • Classification
  • Dispersion Relations
  • Equations
  • Frequency
  • Froude Number
  • Group Velocity
  • Oxidation Reduction Reactions
  • Physics
  • Security
  • Surface Tension
  • Surface Waves
  • Water Waves
  • Wave Propagation
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.