NURBS高阶面元法在多体水动力分析中应用

Application of a NURBS higher-order panel method to multi-body hydrodynamic analysis

当位于海上的多个浮体距离相近时,它们间将产生显著的水动力相互作用。使用NURBS(非均匀有理B样条)高阶面元法进行多体水动力分析,速度势用任意阶的B样条函数近似,物面用NURBS曲面表示,由于水动力与几何表示相分离,就可以方便地实现计算机辅助设计与水动力分析的集成。对截断圆柱与椭球间的水动力相互作用和半潜式平台与箱型驳船间的水动力相互作用的计算显示此种方法可以对多体间的水动力相互作用给出准确的分析,计算时间和占用内存大幅减少。

Significant hydrodynamic interactions occur when bodies are located in close proximity on the ocean surface. A NURBS（ Non-Uniform Rational B-Spline） higher-order panel method is applied to multi-body hydrodynamic analysis in this paper. The velocity potential is approximated by B-splines of arbitrary order and the geometry is represented by NURBS surface. The integration of computational aided design and hydrodynamic analysis is easily realised due to the separation of the hydrodynamic and geometric representation. The computation of the hydrodynamic interaction between a tnmcated cylinder and a spheroid and the one between a semi-submersible and a barge indicate that hydrodynamic interactions among multiple bodies can be accurately analyzed by this method and that a major reduction in computation time and requirod memory can be achieved.