Hydrodynamic wave resistance and diffraction problems of submerged prolate spheroids based on a Green's function image singularities method

Ioannis K. Chatjigeorgiou*, Touvia Miloh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A semi-analytic method based on using the 'ultimate' singularity system within a fully immersed spheroid below a free-surface and eigen-function expansion in terms of spheroidal harmonics is developed for the solution of the following two fundamental hydrodynamic problems: Diffraction of a monochromatic wave of arbitrary heading by a fixed spheroid and the associated hydrodynamic loads.Wave resistance of a prolate spheroid moving steadily in an otherwise quiescent water of infinite depth.Few numerical simulations of the titled problem are presented including a discussion of the proposed newly developed numerical code. In particular we determine the exciting forces and moments exerted on a fixed submerged spheroid by a regular plane wave of any frequency and angle of incidence. Wave resistance is calculated for the practical range of Froude numbers (based on body submergence) varying from.25 to 1.1. A comparison is also presented against several existing numerical codes which display a relatively large scatter of data points, especially at small Froude numbers. Lastly, we determine the range of validity of Havelock's approximation for the wave resistance of a translating spheroid by comparing it to current results.

Original languageEnglish
Pages (from-to)184-196
Number of pages13
JournalEuropean Journal of Mechanics, B/Fluids
Volume49
Issue numberPA
DOIs
StatePublished - 2015

Keywords

  • Diffraction
  • Green's function
  • Image singularities
  • Multipole expansion
  • Prolate spheroids
  • Wave resistance

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