Velocity Representation of Free-Surface Flows and Fourier-Kochin Representation of Waves

Abstract

A new fundamental mathematical representation of linear free-surface potential flows is given. The flow representation, called velocity representation, only involves first derivatives of the Green function and defines the velocity inside a flow domain in terms of source and vortex distributions given by the normal and tangential velocity components of the velocity at the boundary surface. The velocity representation is shown to yield remarkably simple analytical representations of the waves generated by an arbitrary boundary velocity distribution for time-harmonic flows, with and without forward speed, and for steady flows.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2000
Accession Number
ADA381654

Entities

People

  • Francis Noblesse

Organizations

  • Naval Surface Warfare Center Carderock Division

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Layer
  • Diffraction
  • Dispersion Relations
  • Equations
  • Flow
  • Froude Number
  • Integral Equations
  • Lifting Bodies
  • Offshore Structures
  • Potential Flow
  • Ship Hulls
  • Stratified Fluids
  • Surface Properties
  • Surface Warfare
  • Water Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.