A Singularity-Distribution Method for Free-Surface Flow Problems with an Oscillating Body,

Abstract

Boundary value problems associated with the forced oscillation of a body of general shape in the free surface of an inviscid fluid are considered. The originally external boundary value problems are first converted to internal ones by applying the radiation condition at a finite distance from the source of disturbances. Next, application of Green's theorem, using the source function for an unbounded fluid, reduces the problem to the solution of an integral equation with the unknown function being the velocity potential along the entire boundary of the fluid. No restrictions on the body shape nor the bottom geometry are necessary. A modified method to deal with the case of an infinitely deep fluid is also presented. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0768905

Entities

People

  • Ronald Wai-chun Yeung

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Geometry
  • Integral Equations
  • Integrals
  • Mathematics
  • Oscillation
  • Radiation

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.