A BEM-IsoGeometric method with application to the wavemaking resistance problem of ships at constant speed

K. A. Belibassakis, Th P. Gerostathis, K. V. Kostas, C. G. Politis, P. D. Kaklis, A. I. Ginnis, C. Feurer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In the present work IsoGeometric Analysis (IGA), initially proposed by Hughes et al (2005), is applied to the solution of the boundary integral equation associated with the Neumann-Kelvin (NK) problem and the calculation of the wave resistance of ships, following the formulation by Brard (1972) and Baar & Price (1988). As opposed to low-order panel methods, where the body is represented by a large number of quadrilateral panels and the velocity potential is assumed to be piecewise constant (or approximated by low degree polynomials) on each panel, the isogeometric concept is based on exploiting the NURBS basis, which is used for representing exactly the body geometry and adopts the very same basis functions for approximating the singularity distribution (or in general the dependent physical quantities). In order to examine the accuracy of the present method, in a previous paper Belibassakis et al (2009), numerical results obtained in the case of submerged bodies are compared against analytical and benchmark solutions and low-order panel method predictions, illustrating the superior efficiency of the isogeometric approach. In the present paper we extent previous analysis to the case of wavemaking resistance problem of surface piercing bodies. The present approach, although focusing on the linear NK problem which is more appropriate for thin ship hulls, it carries the IGA novelty of integrating CAD systems for shiphull design with computational hydrodynamics solvers.

Original languageEnglish
Title of host publicationASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2011
Pages95-102
Number of pages8
DOIs
Publication statusPublished - Dec 1 2011
EventASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2011 - Rotterdam, Netherlands
Duration: Jun 19 2011Jun 24 2011

Publication series

NameProceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE
Volume6

Other

OtherASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2011
CountryNetherlands
CityRotterdam
Period6/19/116/24/11

ASJC Scopus subject areas

  • Ocean Engineering
  • Energy Engineering and Power Technology
  • Mechanical Engineering

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    Belibassakis, K. A., Gerostathis, T. P., Kostas, K. V., Politis, C. G., Kaklis, P. D., Ginnis, A. I., & Feurer, C. (2011). A BEM-IsoGeometric method with application to the wavemaking resistance problem of ships at constant speed. In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2011 (pp. 95-102). (Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE; Vol. 6). https://doi.org/10.1115/OMAE2011-49159