OSCILLATORY THIRD-ORDER PERTURBATION SOLUTIONS FOR SUMS OF INTERACTING LONG-CRESTED STOKES WAVES ON DEEP WATER

Oscillatory third-order perturbation solutions for sums of interacting long-crested waves on deep water are obtained. A third- order perturbation expansion of the nonlinear free boundary value problem, defined by the coupled Bernoulli equation and kinematic boundary condition evaluated at the free-surface, is solved by replacing the exponential term in the potential function by its series expansion and substituting the equation for the free surface into it. There are second-order changes in the frequencies of the first-order terms at third order. The waves have a Stokes-like form when they are high. The solutions are illustrated. A preliminary experiment is described. Some applications to seakeeping are bow submergence and slamming, capsizing in following seas and bending moments.

• Supplemental Notes:
  • J Ship Res, v 37 n 4, Dec 1993, p 354 [30 p, 76 ref, 11 tab, 10 fig]
• Authors:
  • Pierson, W J
• Publication Date: 1993

Language

• English

Subject/Index Terms

• TRT Terms: Offshore structures; Perturbations; Waves
• Uncontrolled Terms: Interactions
• Old TRIS Terms: Deep water
• Subject Areas: Bridges and other structures; Marine Transportation;

Filing Info

• Accession Number: 00706985
• Record Type: Publication
• Source Agency: British Maritime Technology
• Files: TRIS
• Created Date: Aug 14 1995 12:00AM