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采用一种高阶面元法数值求解浅水船舶兴波问题(英文)
引用本文:高志亮,邹早建,王化明.采用一种高阶面元法数值求解浅水船舶兴波问题(英文)[J].船舶力学,2008,12(6):858-869.
作者姓名:高志亮  邹早建  王化明
作者单位:1. 上海交通大学船舶与海洋工程系,上海,200030
2. 上海交通大学船舶与海洋工程系,上海200030;上海交通大学海洋工程国家重点实验室,上海200030
基金项目:国家自然科学基金 , 上海市自然科学基金  
摘    要:开发了一种基于B样条的高阶面元法用来求解浅水船舶兴波问题.船体表面和自由面上分别布置Rankine源,同时利用镜像原理来计及水底的影响.物体儿何用B样条曲面精确表示.在求得边界面卜的源强密度分布后,物面上的速度势用B样条来表示.数值计算中采用配置方法,并且用高斯-勒让德公式来计算方程中的积分.为了验证文中方法的有效性,用本方法计算了Wigley船在深水和浅水中的兴波水动力和波形,所得数值结果与试验结果和其它数值结果进行了比较,吻合程度令人满意,表明本方法被用来求解浅水船舶兴波问题是有效的.

关 键 词:B样条  高阶面元法  浅水  兴波问题

Numerical Solution of the Ship Wave-making Problem in Shallow Water by Using a High Order Panel Method
GAO Zhi-liang,ZOU Zao-jian,WANG Hua-ming.Numerical Solution of the Ship Wave-making Problem in Shallow Water by Using a High Order Panel Method[J].Journal of Ship Mechanics,2008,12(6):858-869.
Authors:GAO Zhi-liang  ZOU Zao-jian  WANG Hua-ming
Institution:GAO Zhi-liang a,ZOU Zao-jiana,b,WANG Hua-ming a(a.Department of Naval Architecture , Ocean Engineering,b.State Key Laboratory of Ocean Engineering,Shanghai Jiao Tong University,Shanghai 200030,China)
Abstract:A high order panel method based on B-splines is developed to solve the wave-making problem of ships in shallow water.Rankine sources are distributed on the ship surface and free sur-face.A symmetry condition is applied to take into account the effect of the sea bottom.A B-spline sur-face is used to precisely represent the body geometry.Velocity potential on the body surface is de-scribed by B-splines,after the source density distribution on the boundary surface is solved.The col-location approach is applied...
Keywords:B-splines  high order panel method  shallow water  wave-making problem
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