摘要
点-偶混合分布法求解三维频域有航速船舶水动力时会涉及到自由面格林函数高阶导数的计算。为提高计算精度,将区间划分为普通解析计算区间和缓变剩余区间,并对剩余区间进行双重Chebyshev逼近,得到若干子区域的Chebyshev系数。通过数值计算算例,表明采用双重Chebyshev级数逼近剩余区间内的格林函数及高阶偏导数,至少达6D精度。
A mixed dipole-source distribution model is applied in solving the ship＇s forward problem, in which the Neumann-Kelvin assumption is adopted. High-order derivatives of the free-surface Green function are vital in the mixed dipole-source distribution model. To improve the accuracy of numerical schemes, the domain of computation is divided into two parts, one of which is the remaining domain and is separated into smaller domains for performing Chebyshev series approximation. Main Chebyshev＇s coefficients are presented in this paper. Numerical results show that high accuracy has been achieved with the proposed method.
出处
《中国造船》
EI
CSCD
北大核心
2015年第4期141-151,共11页
Shipbuilding of China
基金
国家973计划资助项目(2011CB013703)
