Applications of Fast Mulipole Method for Acoustics and Oblique Incident Water Wave

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Project title

Code/計畫編號

NSC91-2211-E019-010

Translated Name/計畫中文名

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

Project Coordinator/計畫主持人

Jeng-Tzong Chen

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Harbor and River Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=782095

Year

2002

Start date/計畫起

01-08-2002

Expected Completion/計畫迄

31-07-2003

Bugetid/研究經費

475千元

ResearchField/研究領域

土木水利工程

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.

Keyword(s)

Underwater acoustics
Oblique incident wave
Dual integral equation
Submerged breakwater

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Applications of Fast Mulipole Method for Acoustics and Oblique Incident Water Wave

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