摘要
精确快速地求取有限水深格林函数及它的导数是应用时域法求解有限水深水动力学问题的关键。通过对有限水深格林函数在不同区域渐近特性的分析,给出了使用多维Chebyshev多项式和渐近展开式快速近似计算有限水深格林函数及它的导数的方法。近似方法与直接积分方法的比较表明近似方法的计算工作量大幅减少,可以给出足够精度的计算结果。
Fast evaluation of the time-domain Green function for finite water depth and its derivatives with sufficient accuracy is the key to the application of time-domain approach in the finite depth hydrodynamic problems. Based on detailed analysis of asymptotic behaviours of the time-domain Green function for finite water depth in different domains,a fast approximation method for the time-domain Green function for finite water depth and its derivatives is developed by use of the multi-dimensional Chebyshev polynomials and asymptotic expansions.It is shown that the approximation method with sufficient accuracy costs less comoutation time than the direct integration method.
出处
《船舶力学》
EI
北大核心
2006年第1期15-21,共7页
Journal of Ship Mechanics
基金
中国博士后科学基金资助项目(2005037534)
