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頁籤選單縮合
題名 | 波浪折射--繞射之微擾法與雙互換邊界元素法解析=A Perturbation-Drbem Analysis on Wave Refraction-Diffraction |
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作者 | 蕭松山; 林銘崇; 吳俊宏; Hsiao, S. S.; Lin, M. C.; Wu, J. H.; |
期刊 | 中國造船暨輪機工程學刊 |
出版日期 | 19971100 |
卷期 | 16:4 1997.11[民86.11] |
頁次 | 頁15-23 |
分類號 | 443.3 |
語文 | chi |
關鍵詞 | 波浪折射-繞射; 微擾法; 雙互換邊界元素法; Wave refraction-diffraction; Perturbation; DRBEM; |
中文摘要 | 本文結合微擾法(perturbation method)技巧及雙互換邊界元素法(DRBEM-dual reciprocity boundary element method)建立一新的數值模式,以解析位於緩坡地形上大型結構物周邊之波浪折射-繞射共同效應問題。首先,利用微擾法技巧於緩坡方程式(mild-slope equation),可推導得等水深波浪速度勢之齊次Helmholtz方程式及緩變地形波浪速度勢之非齊次Helmholtz方程式。其次,應用一般的邊界元素法解析齊次Helemholtz方程式,而非齊次Helmholtz方程式則引用雙互換邊界元素法解析,以改善前人研究中存複雜領域積分解析之問題。本文以圓島受嘯波作用為例,數值計算之結果經與解析解及前人研究結果比較均相當吻合,驗證本文數值模式之適用性。 |
英文摘要 | A numerical model using perturbation technique and DRBEN(dual reciprocity boundary element method) is presented to investigate wave refraction-diffraction around a large structure on as lowly varying topography. Using perturbation method on the mild-slope equation, one can obtain an ordinary Helmholtz equation for constant water depth and a corresponding inhomogeneous Helmholtz equation for the variable water depth. The ordinary Helmholtz equation is easily solved by a regular BEM. Applying DRBEM to solve the inhomogeneous Helmholtz equation, one can obtain a considerable improvement in terms of numerical efficiency. The model is verified by comparision with both analytical solutions and other numerical results. Good agreements are obtained. |
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