B-Spline Approximation of Ship Waves on the Free Surface  

作　　者：Fang Li Hui Li Huilong Ren 

机构地区：[1]College of Shipbuilding Engineering, Harbin Engineering University, Harbin, China

出　　处：《Journal of Applied Mathematics and Physics》2015年第1期81-85,共5页应用数学与应用物理（英文）

摘　　要：We consider the problem of a ship advancing in waves. In this method, the zone of free surface in the vicinity of body is discretized. On the discretized surface, the first-order and second-order derivatives of ship waves are represented by the B-Spline formulae. Different ship waves are approximated by cubic B-spline and the first and second order derivates of incident waves are calculated and compared with analytical value. It approves that this numerical method has sufficient accuracy and can be also applied to approximate the velocity potential on the free surface.We consider the problem of a ship advancing in waves. In this method, the zone of free surface in the vicinity of body is discretized. On the discretized surface, the first-order and second-order derivatives of ship waves are represented by the B-Spline formulae. Different ship waves are approximated by cubic B-spline and the first and second order derivates of incident waves are calculated and compared with analytical value. It approves that this numerical method has sufficient accuracy and can be also applied to approximate the velocity potential on the free surface.

关 键 词：B-SPLINE APPROXIMATION of SHIP WAVES on the Free SURFACE 

分 类 号：O1[理学—数学]