中文摘要：

比例边界有限元法（SBFEM）是一种半解析的数值方法,比完全数值方法具有更高的精度,该方法结合了有限元和边界元的优点,采用相对少的剖分单元就可以得到较高精度的模拟结果。通过改变有限子域内部比例中心的位置,使这种方法可以应用到多种形式浮体在波浪作用下的水动力特性的计算中。同时还给出了各种形式浮体的波浪力及反射、透射系数的数值结果,并与边界元方法（BEM）计算结果和特征函数展开方法得到解析解进行了比较,均吻合良好。研究表明比例边界有限元不仅可以计算矩形的浮体结构,而且对于多种结构形式的浮体都可以计算,这为多种结构形式浮体的水动力分析提供了一个可行的方法。

英文摘要：

The scaled boundary finite element method （SBFEM） is a novel semi-analytical numerical method, and its accuracy is higher than complete numerical methods. It combines the advantages of the finite element method and the boundary element method, and it can obtain high accuracy with fewer elements. Through changing the position of the scaled center in the bounded domain, this method can be used in solving the wave interaction with floating objects of various shapes.In this paper, the wave force, reflection coefficient and transmission coefficient of different objects are computed by using SBFEM, made comparison between the present numerical solutions with the analytical ones and those from the boundary element method is made. The agreement between them is very ideal. It is found that SBFEM can be not only used for the floating box, but also can be used for the floating objects of various shapes. Thus, it supplies a new method for solving the wave reaction with floating objects of various shapes.