满足自由水面的水槽格林函数的研究

研究满足自由水面的水槽格林函数的两种数值计算方法,一是Linton提出的快速收敛数值计算算法,二是对John提出的开阔海域中格林函数关于水槽两侧壁作镜像的数值计算方法。研究表明,Linton提出的快速收敛数值计算算法在特定情况下不适用,因此建议采用镜像格林函数来计算常水深和常宽度水槽中波浪对结构的作用问题。

Study on the Flume Green's Function Satisfying the Free-Surface Conditions

In this paper,two kinds of flume Green's functions,which satisfy the free-surface conditions,are studied.One is the rapid convergent numerical method put forward by Linton and the other is infinite images about side walls of flume with an open-sea Green's function presented by John.Numerical experiments have been carried out and the results indicate that Linton's rapidly convergent numerical method is limited to a small scope.Therefore,it is suggested that the image Green's function is used to solve the wave action upon structures in the flume with constant depth and width.