直接边界元法三维自由面兴波时域模拟  

Time-Domain 3D Free Surface Wave Making Calculation Direct Boundary Element Method

作　　者：冯大奎[1] 叶恒奎[1] 张志国[1] 王先洲[1] 

机构地区：[1]华中科技大学,武汉430074

出　　处：《应用力学学报》2009年第2期356-359,共4页Chinese Journal of Applied Mechanics

基　　金："十一五"国家高技术研究发展计划(2006AA052301)

摘　　要：应用直接边界元法在时域中求解稳定航速运动的三维自由面兴波问题。基于格林定理,在所有边界面上划分网格,对边界积分方程进行数值离散,采用线性自由面边界条件,随时间步进更新自由面势。由于物体空间位置移动辐射条件不需要单独表述,迭代过程中自由面计算域保持不变。以割划水面NACA0024为例,计算模拟了自由面兴波稳定波形;提出了求解矩阵方程组奇异性的处理方法和解决割划问题的动网格技术。本文计算结果和有限体积法及有关试验结果对比表明,该方法是可靠的。Three-dimensional wave patterns generated by moving ships with steady forward speed are solved with Direct Boundary Element Method(DBEM)in time domain.The grids are distributed on all boundaries and boundary integral equation is discretized.At the end of each time step the potentials are updated by linear boundary condition for the next time step on the free surface.The computational domain for free surface maintains invariably.The spatial position of the body is change and the radiation condition is not given especially.The numerical computations are applied to free surface waves generated by NACA0024 piercing free-surface.A method dealing with the singular equation and the dynamic mesh technology is presented for solving a piercing free-surface problem.The comparison among the direct boundary method of the time domain and the finite-volume and real experiment data shows that this method is feasible and reliable.

关 键 词：直接边界元法 时域 波形 奇异性 动网格 

分 类 号：U661.32[交通运输工程—船舶及航道工程]