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预修正快速傅里叶变换高阶边界元方法在波浪对物体作用问题中的应用
引用本文:姜胜超,滕斌,勾莹,宁德志.预修正快速傅里叶变换高阶边界元方法在波浪对物体作用问题中的应用[J].海洋学报,2011,33(3):38-46.
作者姓名:姜胜超  滕斌  勾莹  宁德志
作者单位:1.大连理工大学 海岸和近海工程国家重点实验室,辽宁 大连 116024
基金项目:国家自然科学基金(10772040;50709005;50921001);国家科技重大专项(2008ZX05026-02-02);海洋工程国家重点实验室开放基金资助。
摘    要:边界元方法被广泛应用于波浪对海上婕筑物作用领域,但由于传统边界元方法的存储量和计算量均为未知量的平方量级,很难满足大范围多未知量问题的计算需要.本文基于高阶边界元方法,应用预修正快速傅里叶变换方法,使计算量与存储量分别降低至O(NlogN)和O(N)量级,并得到一个连续的压强分布以适应结构设计的要求,同时可以通过使用满...

关 键 词:高阶边界元  预修正快速傅里叶变换方法  无限水深  满足自由水面边界条件的格林函数
收稿时间:2010/10/25 0:00:00

Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem
JIANG Sheng-chao,TENG Bin,GOU Ying and NING De-zhi.Applications of precorrected-FFT method to higher-order boundary element method for wave-body problem[J].Acta Oceanologica Sinica (in Chinese),2011,33(3):38-46.
Authors:JIANG Sheng-chao  TENG Bin  GOU Ying and NING De-zhi
Affiliation:1.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China2.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030,China
Abstract:Boundary element method (BEM) has been widely applied in the field of wave interaction with offshore structures, but it is still difficult to resolve the large-scale problems because of computer storage and computing cost by O(N2) order for traditional BEM. the precorrected fast Fourier transform method (pFFT) combined with higher-order boundary element method is developed to reduce the computing cost and the required memory by O(N) order in frequency-domain analyses. The continuous pressure distribution can be obtained for the structural design. Using a free-surface Green function for infinite depth, the disadvantage of fast multipole boundary element method, i.e., unable to solve infinite deep water wave problems, can be overcome. Numerical examinations show that the pFFT method has more evident advantages in saving memory and computing time, especially for large-scale problems, over the traditional BEM.
Keywords:higher-order boundary element method  precorrected fast Fourier transform method  infinite depth  free-surface Green function
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