Hydrodynamics and ellipsoidal harmonics

Ioannis K. Chatjigeorgiou*, Vanessa Katsardi, Touvia Miloh

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents the theoretical basis for treating hydrodynamic problems in which the use of ellipsoidal harmonics is necessary. Those include the water wave diffraction problem, the wave resistance problem and the added mass - attraction force calculation of an ellipsoid moving steadily close to a rigid wall. All these problems are tackled using Miloh's theorem for the ultimate image singularity system of ellipsoidal harmonics.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
EditorsCharalambos Tsitouras, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416901
DOIs
StatePublished - 10 Jul 2018
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 - Thessaloniki, Greece
Duration: 25 Sep 201730 Sep 2017

Publication series

NameAIP Conference Proceedings
Volume1978
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
Country/TerritoryGreece
CityThessaloniki
Period25/09/1730/09/17

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