| 引用本文: | 肖汶斌,董文才.三维移动脉动源格林函数的对称性及其应用.[J].国防科技大学学报,2015,37(2):135-142.[点击复制] |
| XIAO Wenbin,DONG Wencai.Symmetrical characteristics of 3-D translating pulsating source Green function and its application in ship seakeeping[J].Journal of National University of Defense Technology,2015,37(2):135-142[点击复制] |
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| 三维移动脉动源格林函数的对称性及其应用 |
| 肖汶斌, 董文才 |
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(海军工程大学 舰船工程系，湖北 武汉 430033)
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| 摘要: |
| 为进一步提高三维有航速船舶耐波性预报的计算效率，将对称性引入到移动脉动源格林函数法的速度势求解之中，提出了基于格林函数对称性的水动力快速求解措施。从源点对场点的对称特性出发，推导获得了调和函数的法向偏导数在船体对称线元和面元处的积分对称关系式，开展了对称性在简化边界元积分方程系数矩阵中的应用，进而构建了高效求解三维船舶耐波性能的理论计算方法。数值结果及算例分析表明：水动力计算中移动脉动源格林函数的对称性有利于降低计算量和减少系统内存，且适用于有航速船舶在波浪中的波浪干扰力、运动响应和自由面波形的数值模拟，可拓展至两船水动力干扰及复杂船型的频域水动力分析计算之中。 |
| 关键词: 耐波性 移动脉动源 对称性 格林函数法 边界元积分 |
| DOI：10.11887/j.cn.201502025 |
| 投稿日期：2014-08-26 |
| 基金项目:国家部委资助项目（9140A14030712JB11044） |
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| Symmetrical characteristics of 3-D translating pulsating source Green function and its application in ship seakeeping |
| XIAO Wenbin, DONG Wencai |
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(Department of Naval Architecture, Naval University of Engineering, Wuhan 430033, China)
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| Abstract: |
| In order to further improve the computation efficiency of seakeeping prediction for the ships with forward speed, the symmetry property was introduced into the calculations of velocity potentials in the 3-D translating pulsating source Green function method. Based on the Green function′s symmetry, the specific measures were put forward to evaluate the ship hydrodynamics. By the symmetrical magnitude of source point to field point, the integral symmetry expressions of normal derivative of harmonic function at the symmetric line and surface elements were derived and obtained. The symmetrical characteristics were applied to simplify the matrix of coefficient in the boundary integral equation. A theoretical method with high efficiency was presented for the seakeeping performance of 3-D ship advancing in waves. Numerical results and example analysis show that the symmetry property of translating pulsating source Green function is available for the minimization of computation and memory amount and is proved effective in the numerical calculations of wave exciting forces, motion responses and free-surface waveform for the advancing ship in waves. It is expected to extend the symmetrical characteristics of translating-pulsating source Green function to the hydrodynamic analyses of interacting two ships or complex ship form in frequency domain. |
| Keywords: seakeeping translating-pulsating source symmetry Green function method boundary element integration |
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