Isogeometric boundary-element analysis for the wave-resistance problem using T-splines

A. I. Ginnis, K. V. Kostas, C. G. Politis, P. D. Kaklis, K. A. Belibassakis, Th P. Gerostathis, M. A. Scott, T. J R Hughes

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

In this paper we couple collocated Boundary Element Methods (BEM) with unstructured analysis-suitable T-spline surfaces for solving a linear Boundary Integral Equation (BIE) arising in the context of a ship-hydrodynamic problem, namely the so-called Neumann-Kelvin problem, following the formulation by Brard (1972) and Baar and Price (1988). The local-refinement capabilities of the adopted T-spline bases, which are used for representing both the geometry of the hull and approximating the solution of the associated BIE, in accordance with the Isogeometric concept proposed by Hughes et al. (2005), lead to a solver that achieves the same error level for many fewer degrees of freedom as compared with the corresponding NURBS-based Isogeometric-BEM solver recently developed in Belibassakis et al. (2013). In this connection, this paper makes a step towards integrating modern CAD representations for ship-hulls with hydrodynamic solvers of improved accuracy and efficiency, which is a prerequisite for building efficient ship-hull optimizers.

Original languageEnglish
Pages (from-to)425-439
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume279
DOIs
Publication statusPublished - Sep 1 2014
Externally publishedYes

Fingerprint

wave resistance
ship hulls
boundary element method
splines
Splines
integral equations
Ships
Boundary integral equations
hydrodynamics
Boundary element method
ships
Hydrodynamics
computer aided design
degrees of freedom
formulations
Computer aided design
geometry
Geometry

Keywords

  • BEM
  • Isogeometric analysis
  • T-splines
  • Wave resistance

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

Ginnis, A. I., Kostas, K. V., Politis, C. G., Kaklis, P. D., Belibassakis, K. A., Gerostathis, T. P., ... Hughes, T. J. R. (2014). Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. Computer Methods in Applied Mechanics and Engineering, 279, 425-439. https://doi.org/10.1016/j.cma.2014.07.001

Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. / Ginnis, A. I.; Kostas, K. V.; Politis, C. G.; Kaklis, P. D.; Belibassakis, K. A.; Gerostathis, Th P.; Scott, M. A.; Hughes, T. J R.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 279, 01.09.2014, p. 425-439.

Research output: Contribution to journalArticle

Ginnis, AI, Kostas, KV, Politis, CG, Kaklis, PD, Belibassakis, KA, Gerostathis, TP, Scott, MA & Hughes, TJR 2014, 'Isogeometric boundary-element analysis for the wave-resistance problem using T-splines', Computer Methods in Applied Mechanics and Engineering, vol. 279, pp. 425-439. https://doi.org/10.1016/j.cma.2014.07.001
Ginnis, A. I. ; Kostas, K. V. ; Politis, C. G. ; Kaklis, P. D. ; Belibassakis, K. A. ; Gerostathis, Th P. ; Scott, M. A. ; Hughes, T. J R. / Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. In: Computer Methods in Applied Mechanics and Engineering. 2014 ; Vol. 279. pp. 425-439.
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