A BEM-isogeometric method for the ship wave-resistance problem

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

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

In the present work isogeometric analysis is applied to the solution of the boundary integral equation associated with the Neumann–Kelvin problem and the calculation of the wave resistance of ships. 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 same NURBS basis, used for representing exactly the body geometry, for approximating the singularity distribution (and, in general, the dependent physical quantities). In order to examine the accuracy of the present method, numerical results obtained in the case of submerged and surface piercing bodies are compared against analytical solutions, experimental data and predictions provided by the low-order panel or other similar methods appeared in the pertinent literature, illustrating the superior efficiency of the isogeometric approach. The present approach by applying isogeometric analysis and boundary element method to the linear NK problem has the novelty of combining modern CAD systems for ship-hull design with computational hydrodynamics tools.
LanguageEnglish
Pages53–67
Number of pages15
JournalOcean Engineering
Volume60
Issue number1 March
Early online date18 Jan 2013
DOIs
Publication statusPublished - 1 Mar 2013

Fingerprint

Ships
Piercing
Boundary integral equations
Boundary element method
Numerical methods
Computer aided design
Hydrodynamics
Polynomials
Geometry

Keywords

  • Isogeometric analysis
  • High-order BEM
  • Neumann–Kelvin problem
  • NURBS
  • D–CFD integration

Cite this

Belibassakis, K. A., Gerostathis, T. P., Kostas, K. V., Politis, C. G., Kaklis, P., Ginnis, A. I., & Feurer, C. (2013). A BEM-isogeometric method for the ship wave-resistance problem. Ocean Engineering, 60(1 March), 53–67. https://doi.org/10.1016/j.oceaneng.2012.12.030
Belibassakis, K.A. ; Gerostathis, Th. P. ; Kostas, K.V. ; Politis, C.G. ; Kaklis, Panagiotis ; Ginnis, A.I. ; Feurer, C. / A BEM-isogeometric method for the ship wave-resistance problem. In: Ocean Engineering. 2013 ; Vol. 60, No. 1 March. pp. 53–67.
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Belibassakis, KA, Gerostathis, TP, Kostas, KV, Politis, CG, Kaklis, P, Ginnis, AI & Feurer, C 2013, 'A BEM-isogeometric method for the ship wave-resistance problem' Ocean Engineering, vol. 60, no. 1 March, pp. 53–67. https://doi.org/10.1016/j.oceaneng.2012.12.030

A BEM-isogeometric method for the ship wave-resistance problem. / Belibassakis, K.A. ; Gerostathis, Th. P.; Kostas, K.V.; Politis, C.G.; Kaklis, Panagiotis; Ginnis, A.I.; Feurer, C.

In: Ocean Engineering, Vol. 60, No. 1 March, 01.03.2013, p. 53–67.

Research output: Contribution to journalArticle

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Belibassakis KA, Gerostathis TP, Kostas KV, Politis CG, Kaklis P, Ginnis AI et al. A BEM-isogeometric method for the ship wave-resistance problem. Ocean Engineering. 2013 Mar 1;60(1 March):53–67. https://doi.org/10.1016/j.oceaneng.2012.12.030