Fundamental problems in hydrodynamics of ellipsoidal forms

Touvia Miloh, Ioannis K. Chatjigeorgiou*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this study, we tackle with one single effort, three fundamental problems in ship hydrodynamics, namely the attraction force exerted on a single ship moving rectilinearly close and parallel to a rigid wall (berthing), the determination of the associated added-mass coefficients (maneuvering) and finally evaluating the forces exerted on a ship in a two-ship crossing scenarios. The novelty of the present approach relies on using Weinblum’s proposition to assimilate the ship’s hull by an “equivalent” tri-axial ellipsoid, as well as the employment of ellipsoidal harmonics expansion techniques.

Original languageEnglish
Pages (from-to)403-410
Number of pages8
JournalJournal of Hydrodynamics
Issue number3
StatePublished - 1 Jun 2018


  • Ellipsoidal forms
  • Lamé functions
  • ellipsoidal harmonics
  • ship hydrodynamics
  • ultimate image singularities


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