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題名 | 改良式漢姆荷茲積分式分析聲波散射問題=An Improved Helmholtz Integral Equation for Acoustic Scattering Problems |
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作者 | 簡秋記; 李岳峰; Chien, Chyou-chi; Lee, Yue-feng; |
期刊 | 力學 |
出版日期 | 19960900 |
卷期 | 12:3 1996.09[民85.09] |
頁次 | 頁363-368 |
分類號 | 440.12 |
語文 | chi |
關鍵詞 | 漢姆荷茲方程式; 聲波散射; 超強奇異; Helmholtz equation; Acoustic scattering; Hyper-singularity; |
中文摘要 | 本文使用改良之漢姆荷茲積分方程式分析三維聲波散射問題。引用漢姆荷茲邊界 積分方程式與其法向微分的域內積分方程式之線性組合,來克服解之無唯一性問題;因選取 域內積分式做線性組合而避免了超強奇異積分之計算。本文亦考慮幾何外形表面無唯一法向 之角隅問題。標準算例包括圓球和有限長圓柱體之散射問題;數值解並與複雜之散射問題解 析解做比較,以證明本文方法之功效。 |
英文摘要 | The aim of this paper is to employ an improved Helmholtz integral equation for investigating the acoustic pressure in 3-D acoustic problems. By making use of the linear combination of Helmholtz boundary integral equation and its gradient interior integral equation, such a formulation can solve the problem of nonunique solution. Since the interior integral equation in the linear combination is involved, the computation of hyper-singular integral can be avoided. The corner problem wherein the normal is not unique for the surface of a 3-D arbitrary shaped body is also treated. The benchmark examples include the scattering problems of sphere and finite cylinder. To demonstrate the validity of proposed method, the results of numerical solution are comparable to those of complex analytical solution for scattering problems. |
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