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直接边界元法时域全非线性兴波计算
引用本文:冯大奎,叶恒奎,张志国,杨向晖,王先洲.直接边界元法时域全非线性兴波计算[J].船舶力学,2009,13(6).
作者姓名:冯大奎  叶恒奎  张志国  杨向晖  王先洲
作者单位:1. 华中科技大学船舶与海洋工程学院,武汉,430074
2. 中国舰船研究设计中心,武汉,430063
3. 海军装备研究院舰船论证研究所,北京,100073
摘    要:文章在时域中采用直接边界元的方法计算模拟了以稳定航速运动的近水面潜体全非线性兴波现象.从格林定理出发,在边界面上布置Rankine源和偶极子,采用时间步进的方法计算模拟潜体近自由面运动的兴波现象.每个时步自由面上的势和节点位置采用全非线性拉格朗日自由面边界条件求解,重新生成自由面网格准备下一个时步计算的初始条件.文中给出了数值计算的结果并与试验和线性计算的结果相比,证实了该方法是可靠的,并可以利用该方法建立数值波浪水池.

关 键 词:全非线性  Rankine源偶极子  潜体  时域  格林第二定理  网格重生

Time-Domain 3D fully nonlinear Wave Making computations By Direct Boundary Integral Method
FENG Da-kui,YE Heng-kui,ZHANG Zhi-guo,YANG Xiang-hui,WANG Xian-zhou.Time-Domain 3D fully nonlinear Wave Making computations By Direct Boundary Integral Method[J].Journal of Ship Mechanics,2009,13(6).
Authors:FENG Da-kui  YE Heng-kui  ZHANG Zhi-guo  YANG Xiang-hui  WANG Xian-zhou
Abstract:Three-dimensional fully nonlinear wave generated by moving disturbances with steady for-ward speed is solved using direct boundary integral method in time domain. The method is based on Green's second theorem. Rankine Sources and dipoles are placed on boundary surfaces. Time-step-ping scheme is adopted to simtdate the wave generated by submerged body near free surface during its movement. The values of the potential and position of the free surface are updated by integrating the fully nonlinear Lagrangian free surface boundary conditions for every time. The grid regeneration scheme is developed to determine the approximate position of the free surface for the next time step.The numerical results are presented and compared with linear theory and experimental measure-ments.The comparisons show good agreements and reliable of the numerical model which could be used in development of 3-D numerical wave tank in future.
Keywords:fully nonlinear  Rankine Source  dipole  submerged body  time domain  Green's second theorem  grid regeneration
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