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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/12037

Title: 對偶積分式於快速多重極架構下在聲學與潛堤斜向入射水波之應用
Applications of Fast Mulipole Method for Acoustics and Oblique Incident Water Wave
Authors: 陳正宗
Contributors: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
Keywords: 水下聲學;斜向入射波;對偶積分;潛堤
Underwater acoustics;Oblique incident wave;Dual integral equation;Submerged breakwater
Date: 2002-08
Issue Date: 2011-06-29T01:37:57Z
Publisher: 行政院國家科學委員會
Abstract: abstract:In this report, we solve the large scale problems of the exterior acoustics and oblique incident water wave passing a submerged barrier by using the im-proved DBEM. By adopting the addition theorem, the four kernels in the dual formulation are expanded into degenerate kernels which separate the eld point and source point. The separable technique reduces the number of oating-point operations from O(N 2) to O(N loga(N)), where N is number of elements and a is a small constant independent of N. Finally, the FMM is shown to reduce CPU time and memory re-quirement thus enabling us apply BEM to solve for large-scale problems. Five moment FMM formula-tion was found to be sucient for convergence. The results are compared well with those of FEM, conven-tional BEM and analytical solutions and it shows the accuracy and eciency of the FMM when compared with the conventional BEM.
Relation: NSC91-2211-E019-010
URI: http://ntour.ntou.edu.tw/ir/handle/987654321/12037
Appears in Collections:[河海工程學系] 研究計畫

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