哈尔滨工程大学学报2016，Vol.37Issue(5)：629-633,5.DOI:10.11990/jheu.201504023
Laguerre函数在时域匹配边界元中的应用研究
Application of Laguerre function in the time domain Rankine-Green panel method
摘要
Abstract
The divergence phenomenon will happen when the transient free surface Green function method is adopt⁃ed to simulate the motion response of the ships with large flare. To avoid that problem, the Rankine⁃Green panel method is proposed , and the accuracy of this method is verified by the comparision with the analytical solutions. Then the hybrid method is used to investigate the variation properties of the memory velocity potential wiht respect to time, and the Laguerre function is introduced to express the memory potentials in the Laguerre series form. Therefore , the temporal convolution integral of the memory potentials with the Green function can be computed ana⁃lytically, which ensures the long time simulations. Besiedes, to accelerate the convergence speed of the Laguerre series, a flexible parameter is introduced and its features are discussed. The numerical results show that the tempo⁃ral variable of the memory potential can be approximated by less Laguerre series terms with a flexible parameter, which means that the Laguerre series can give a reasonable description of the impulse properties of the memory ve⁃locity potential.关键词
Laguerre函数/时域匹配/时间卷积/多项式逼近/放缩系数Key words
Laguerre function/Rankine-Green panel method/temporal convolution integral/series approximation/flexible parameter分类
数理科学引用本文复制引用
李志富,任慧龙,石玉云,李辉..Laguerre函数在时域匹配边界元中的应用研究[J].哈尔滨工程大学学报,2016,37(5):629-633,5.基金项目
国家“973”计划项目（2011CB3703）；国家自然科学基金资助项目（51109046）． （）
