基于泰勒展开边界元法的深水浮体二阶平均漂移力计算  

Calculation of second-order mean drift loads for the deepwater floating body based on the Taylor expansion boundary element method

作　　者：段文洋[1] 陈纪康[1] 赵彬彬[1] 

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2015年第3期302-306,共5页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(11272097)

摘　　要：为了消除传统低阶面元法计算非光滑边界单元处的切向诱导速度精度低的缺点,提出了一阶泰勒展开边界元方法。对边界积分方程中偶极强度在单元内进行泰勒展开,保留一阶导数项,并对边界场点求2个正交方向的切向导数来封闭方程组,从而可同时求解单元中的速度势及其切向速度。数值计算表明,该方法可提高浮体边界拐角处切向速度和水线处波面爬高的计算精度,进而保证浮体二阶平均波浪漂移力的计算精度和收敛性。Taylor expansion boundary element method（ 1^st order TEBEM） is developed for improving the solution accuracy of the tangential induced velocity at the unsmooth corners of the floating body in the traditional low order panel method. This method is based on the framework of the constant panel method to discrete the boundary integration equation（ BIE）,which mainly applies the Taylor expansion formula to the dipole strength of the BIE on each element and reserves the first order derivatives which are exactly the tangential velocity on the element. Finally it utilizes the corresponding tangential derivatives of two tangential directions with respect to the field points on the boundary to close the equations. Numerical results showed that the 1storder TEBEM can accurately solve the tangential velocity at the corner of floating body and the height of wave surface of waterline. Compared with constant panel methods,it is found that TEBEM can get higher accuracy and convergence results of the second order wave drift loads.

关 键 词：二阶波浪力 泰勒展开 边界元方法 深水浮体 柯钦函数 近场公式 远场公式 

分 类 号：O352[理学—流体力学]