TY - JOUR
T1 - Isogeometric boundary-element analysis for the wave-resistance problem using T-splines
AU - Ginnis, A.I.
AU - Kostas, K.V.
AU - Politis, C.G.
AU - Kaklis, P.D.
AU - Belibassakis, K.A.
AU - Gerostathis, Th.P.
AU - Scott, M.A.
AU - Hughes, T.J.R.
PY - 2014/9/1
Y1 - 2014/9/1
N2 - 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.
AB - 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.
KW - T-splines
KW - isogeometric analysis;
KW - BEM
KW - wave resistance
UR - http://www.sciencedirect.com/science/journal/00457825
U2 - 10.1016/j.cma.2014.07.001
DO - 10.1016/j.cma.2014.07.001
M3 - Article
VL - 279
SP - 425
EP - 439
JO - Computer Methods in Applied Mechanics end Engineering
JF - Computer Methods in Applied Mechanics end Engineering
SN - 0045-7825
ER -
