摘要
本文研究了时域内有限水深格林函数的数值计算问题,旨在建立一种格林函数的快速算法,可应用于边界元方法的实际计算中。该方法由多维多项式近似代替积分形式的直接数值计算。文中将格林函数值及其导数值与对应的近似多项式计算值进行了比较,当取得合适的截断项时,两者符合较好。
Analytical study of the time-domain Green function in finite water depth is carried out in this paper. An efficient algorithm is proposed for numerical evaluation of the Green function by a multi-dimensional approximation of polynomials. Comparisons of the results of Green function and its derivatives with these approximations are presented in tables. It shows that when appropriate amounts of terms are used, we can obtain an accurate approximation.
出处
《水动力学研究与进展(A辑)》
CSCD
北大核心
2004年第5期629-636,共8页
Chinese Journal of Hydrodynamics
基金
国家杰出青年基金资助项目(50025924)
关键词
时域
有限水深
格林函数
time-domain
finite water depth
Green function