摘要
文章基于三维时域格林函数理论,提出了一种时域边界积分方程的改进计算方法,用于预报海洋结构物在波浪中运动受到的时域波浪力。该方法通过利用物体内部构造的满足拉普拉斯方程的内部解,在时域边界积分方程中只需要计及时域格林函数记忆项本身,从而有效地避免了求解具有高震荡积分特性的时域格林函数记忆项的法向导数。对潜体和浮体作了计算,结果表明,这种方法十分有效,可以有效节省内存使用量和计算机空间。通过与相关已发表文献的结果进行比较,计算结果令人满意。
Based on a three dimensional transient free surface Green function, an improved solution of body boundary integral equation in time domain is presented, to numerically simulate hydrodynamic forces of offshore structure in waves. Transient Green function is adopted under the mean wetted body boundary condition and linearized free surface boundary condition. In order to avoid the high oscillation normal derivatives of the transient Green function memory term, an improved efficient solution is proposed here in time domain. An internal solution inside the offshore structure, which satisfies the Laplace equation, can replace the normal derivatives of the transient Green function memory term so as to only calculate the transient Green function memory term itself in body boundary integral equation. Using the newly proposed approach, various cases for 3D submerged body and floating body are simulated. The numerical results show that this new solution can effectively save the memory usage and space for computer, and make simple calculation for integral equation than the traditional method. The proposed method was validated by comparing its numerical results with some available results in the public domain, and satisfactory agreements were achieved.
出处
《船舶力学》
EI
CSCD
北大核心
2013年第3期226-238,共13页
Journal of Ship Mechanics
基金
Supported by the National Nature Science Foundation of China (No. 51079032)
关键词
时域格林函数
记忆项
内部解
边界积分方程
水动力
transient Green function
memory term
internal solution
integral equation
hydrodynamic forces
