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

摘要

In the present work IsoGeometric Analysis is applied to the solution of the BoundaryIntegral Equation associated with the Neumann-Kelvin problem and the calculation of thewave resistance of ships. As opposed to low-order panel methods, where the body isrepresented by a large number of quadrilateral panels and the velocity potential is assumedto be piecewise constant (or approximated by low degree polynomials) on each panel, theisogeometric concept is based on exploiting the same NURBS basis, used for representingexactly 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* Corresponding author. Tel: (+30) 2107721138, Fax: (+30) 2107721397, e-mail: kbel@fluid.mech.ntua.gr2compared against analytical solutions, experimental data and predictions provided by thelow-order panel or other similar methods appeared in the pertinent literature, illustratingthe superior efficiency of the isogeometric approach. The present approach by applyingIsogeometric Analysis and Boundary Element Method to the linear NK problem has thenovelty of combining modern CAD systems for ship-hull design with computationalhydrodynamics tools.