一种计算非线性兴波阻力的基于NURBS的高阶面元法(英文)

A NURBS-based High Order Panel Method for Calculating the Nonlinear Wave-making Resistance

文章开发了一种用于求解非线性兴波阻力问题的基于非均匀有理B样条(NURBS)的高阶面元法。该方法采用NURBS基函数表达物面几何和边界面上的源强分布。为了满足非线性自由面边界条件,开发了一个迭代算法;辐射条件通过采用网格错位的数值技术得到满足。以Wigley数学船型为例,在一系列的船速下计算了非线性兴波阻力。数值结果表明所提出的方法对于计算兴波阻力是精确和有效的。

A Non-uniform Rational B-Spline （NURBS） based high order Rankine panel method is developed for solving the nonlinear wave-making resistance problem.In this method,both the body geometry as well as the source density distribution on the boundary surface is represented by the NURBS basis function. In order to satisfy the nonlinear free surface boundary condition, an iterative procedure is developed.The radiation condition is satisfied by the numerical technology of staggered grids.The nonlinear wave-making resistance of a mathematical Wigley ship is calculated at a series of different ship speeds.The numerical results show that the proposed approach for calculating the wavemaking resistance is accurate and effective.