A SINGULARITY-DISTRIBUTION METHOD FOR FREE-SURFACE FLOW PROBLEMS WITH AN OSCILLATING BODY

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)

• Corporate Authors:

  University of California, Berkeley

  College of Engineering
  Berkeley, CA  United States  94720
• Authors:
  • Yeung, RWC
• Publication Date: 1973-8

Media Info

• Pagination: 132 p.

Subject/Index Terms

• TRT Terms: Boundary value problems; Computer programming; Curve fitting; Damping (Physics); Free surface; Graphics; Green's function; Hulls; Hydrodynamics; Oscillation; Pitch (Dynamics); Potential theory; Three dimensional flow; Two dimensional flow; Yaw
• Uncontrolled Terms: Ship hulls
• Old TRIS Terms: Free surface effects; Harmonic analyzers; Hydrodynamic configurations; Oscillating bodies; Oscillation | damping
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00051736
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: NA-73-6
• Contract Numbers: N00014-69-A-0200-102
• Files: TRIS
• Created Date: Mar 25 1974 12:00AM