An Integral Equation for the Floating Body Problem.

Abstract

The time harmonic three dimensional finite depth floating body problem is reformulated as a boundary integral equation. Using the elementary fundamental solution that satisfies the boundary condition on the sea bottom but not the linearized free surface condition, the integral equation extends over both the ship hull and the free surface. It is shown that this integral equation is free of irregular frequencies, that is, it has at most one solution.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1985
Accession Number
ADA159195

Entities

People

  • G. C. Hsiao
  • R. E. Kleinman
  • S. Angell

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Acoustic Scattering
  • Bodies
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Coordinate Systems
  • Delaware
  • Equations
  • Floating Bodies
  • Fluids
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Ship Hulls
  • Surface Properties
  • Theorems
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Marine Hydrodynamics