TY - CHAP

T1 - A BEM-IsoGeometric method with application to the wavemaking resistance problem of ships at constant speed

AU - Belibassakis, K.A.

AU - Gerostathis, Th.P.

AU - Kostas, K.V.

AU - Kaklis, P.D.

AU - Politis, C.G.

AU - Ginnis, A.I.

AU - Feurer, C.

PY - 2011/6

Y1 - 2011/6

N2 - 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.

AB - 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.

KW - IsoGeometric Analysis

KW - IGA

KW - wavemaking resistance

UR - http://www.scopus.com/inward/record.url?scp=84855794747&partnerID=8YFLogxK

UR - http://proceedings.asmedigitalcollection.asme.org/volume.aspx?conferenceid=2906&volumeid=15067

U2 - 10.1115/OMAE2011-49159

DO - 10.1115/OMAE2011-49159

M3 - Chapter

AN - SCOPUS:84855794747

SN - 9780791844380

VL - 6

SP - 95

EP - 102

BT - Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE

CY - New York

ER -