线性船舶兴波阻力边界元新方法

采用常数边界元对船舶与流体界面进行离散，求解船舶兴波势及船舶兴波阻力。这种方法可避免在船舶与流体自由面交线上安置节点，因而避免了这些节点建立补充方程。因为满足自由面条件的Ｈａｖｅｌｏｃｋ源函数的源点和场点不能同时在自由面上，使得自由面上的节点无法用Ｈａｖｅｌｏｃｋ源函数的建立方程。如对自由面交线上的节点建立补充方程，则要对线性自由面条件中包含的未知势函数的二阶导数用差分形式表达，引入较大误差。

A New Boundary Element Method for Linear Ship Wave-Making Problem

In linear ship wave-making problem, constant boundary elements are ued to discretlze the inter-face of a steady moving ship and the water. The boundary value problem of Laplacian equation is con-verted into a boundary integral equation in which a line integral is included. With the numericalmethod, the difficulty of establishing equations for nodal points on the route of the line integral isavoided since the source points are arranged on the middle points of constant elements so that Havelocksource function can be used to establish all equations for all source points. Numerical examples showthat the numerical method is practical for the computation of wave-making resistance of slenderships.