IRROTATIONAL FLOW ABOUT SHIP FORMS

A method of computing the potential flow about a ship model in terms of a source distribution on the hull surface is described. After a formulation and discussion of the flow with wavemaking, the zero-froude number, double-ship-model case is treated in detail. The Fredholm singular integral equation of the second kind for the source distribution is solved numerically by removing the singularity, replacing the integral by a quadrature formula, and solving the resulting high-order set of linear equations by an iteration formula for which convergence is proved. The corresponding velocity potential on the hull surface, the evaluation of which from the source distribution also requires the calculation of a singular integral, is obtained by first solving the equipotential problem for the hull form (which employs the same kernel as the original integral equation). The solution of this Dirichlet problem is then used to remove the singularity from the velocity-potential integral, and then the latter is computed by means of a quadrature formula. The method is applied to an ellipsoid, results from which are compared with the exact solution. A fortran program is included. (Author)

• Corporate Authors:

  University of Iowa, Iowa City

  Iowa Institute of Hydraulic Research, 300 South Riverside Drive
  Iowa City, IA  United States  52242-1585
• Authors:
  • Landweber, Louis
  • Macagno, Matilde
• Publication Date: 1969-12

Media Info

• Pagination: 35 p.

Subject/Index Terms

• TRT Terms: Hulls; Potential flow; Velocity; Wave resistance
• Old TRIS Terms: Hull forms; Velocity potential
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00015131
• Record Type: Publication
• Source Agency: Defense Documentation Center
• Report/Paper Numbers: IIHR-123
• Contract Numbers: NONR-1611(07)
• Files: TRIS
• Created Date: May 13 2003 12:00AM