Hydrodynamics of Cylinders in Water of Arbitrarily Varying Depth.

Abstract

A numerical method for solving two-dimensional boundary-value problems related to time-harmonic potential flows with a free-surface is introduced. There is no restrictions on the body geometry nor the bottom topography. The entire fluid domain is subdivided into two regions, an inner region where all the geometrical changes occur and an outer region where the fluid depths are constant. Application of Green's theorem for an inner region results in an integral relation while the outer region is described by eigenfunction expansions. A continuity of pressure and normal velocity across junction boundary imposes an unique solution in the entire fluid domain. The method is applied to both radiation and scattering problems and test results in water of finite or infinite depth agree well with the existing results. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA038873

Entities

People

  • Yoon-Ho Kim

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Continuity
  • Coordinate Systems
  • Eigenvectors
  • Engineering
  • Equations
  • Flow
  • Geometry
  • Hydrodynamics
  • Integral Equations
  • Integrals
  • Marine Engineering
  • Naval Architecture
  • Radiation
  • Scattering
  • Two Dimensional

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Oceanography.