### Abstract

Language | English |
---|---|

Pages | 53–67 |

Number of pages | 15 |

Journal | Ocean Engineering |

Volume | 60 |

Issue number | 1 March |

Early online date | 18 Jan 2013 |

DOIs | |

Publication status | Published - 1 Mar 2013 |

### Fingerprint

### Keywords

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

### Cite this

*Ocean Engineering*,

*60*(1 March), 53–67. https://doi.org/10.1016/j.oceaneng.2012.12.030

}

*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.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A BEM-isogeometric method for the ship wave-resistance problem

AU - Belibassakis, K.A.

AU - Gerostathis, Th. P.

AU - Kostas, K.V.

AU - Politis, C.G.

AU - Kaklis, Panagiotis

AU - Ginnis, A.I.

AU - Feurer, C.

PY - 2013/3/1

Y1 - 2013/3/1

N2 - 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.

AB - 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.

KW - Isogeometric analysis

KW - High-order BEM

KW - Neumann–Kelvin problem

KW - NURBS

KW - D–CFD integration

UR - http://www.journals.elsevier.com/ocean-engineering

U2 - 10.1016/j.oceaneng.2012.12.030

DO - 10.1016/j.oceaneng.2012.12.030

M3 - Article

VL - 60

SP - 53

EP - 67

JO - Ocean Engineering

T2 - Ocean Engineering

JF - Ocean Engineering

SN - 0029-8018

IS - 1 March

ER -