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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 蔡丁貴 | |
dc.contributor.author | Chun-Wen Yang | en |
dc.contributor.author | 楊淳文 | zh_TW |
dc.date.accessioned | 2021-06-16T17:30:24Z | - |
dc.date.available | 2014-08-19 | |
dc.date.copyright | 2012-08-19 | |
dc.date.issued | 2012 | |
dc.date.submitted | 2012-08-15 | |
dc.identifier.citation | 參考文獻
1. Berkhoff, J. C. W. (1972), “Computation of Combined Refraction-Diffraction.” Proc. 13th Conf. On Coastal Eng., Vol. 1, pp. 705-720. 2. Bettess, P., and Zienkiewicz, O. C. (1977), “Diffraction and refraction of surface waves using finite and infinite elements.” Int. J. for Numerical Method in Fluids, 2, 1271-1290. 3. Booij, N. (1983), “A note on the accuracy of the mild-slope equation.” Coastal Eng., 7,191-203. 4. Chen, H. S., and Mei, C. C. (1974), “Oscillations and wave forces in an offshore harbor.” Ralph M. Parsons Laboratory for Water Resources and Hydrodynamics, M.I.T. Cambridge, Mass., Report No.190. 5. Homma, S. (1950), “On the behavior of seismic sea waves around circular island.” Geophysical Magazine, 21, 199. 6. Houston, J. R. (1981), “Combined refraction and diffraction of short waves using the finite element method.” Appl. Ocean Research, 3, 163-170. 7. Lee, J. J. (1971), “Wave-induced oscillation in harbors of arbitrary geometry.” J. Fluid mech, 45 pp. 375-394. 8. Liu, P. L.–F. and Tsay, T. K. (1983), “Water Wave Motion around a Breakwater on Slowly Varying Topography.” Proc. Conf. Coastal Structures, pp. 979-987. 9. MacCormick, R. C., and Fuch, K. A. (1954), “Wave forces on a pile: a diffraction theory.” Tech. Memo. No.69, U.S. Army Board, U.S. Army Corp. of Eng. 10. Mei, C. C. (1983), “The Applied Dynamics of Ocean Surface waves.” ch4:109-182; ch11:504-604. 11. Onate, E., Idelsohn, S., Zienkiewicz, O. C. and Taylor, R. L. (1996), “A finite point method in computational mechanics. Applications to convective transport and fluid flow.” International Journal for Numerical Methods in Engineering; 39:3839-3866. 12. Onate, E., Idelsohn, S., Zienkiewicz, O.C. and Taylor, R. L. (1996), “Sacco C. A stabilized finite point method for analysis of fluid mechanics problems.” Computer Methods in Applied Mechanics and Engineering; 139:315-346. 13. Roger, S. R. and Mei, C. C. (1978), “Nonlinear Resonant excitation of a long narrow bay.” J. Fluid Mech. 88, pp. 161-180. 14. Smith, R., and Sprinks, T. (1975), “Scattering of surface waves by a conical island.” J. Fluid Mech., 72, 373-384. 15. Tsay, T. K. and Liu, P. L.–F. (1982), “Numerical Solution of Water-Wave Refraction and Diffraction Problems in the Parabolic Approximation.” J. Geophys. Res., 87(C10):7932-7940. 16. Tsay, T. K. and Liu, P. L.–F. (1983), “A Finite Element Model for Wave Refraction and Diffraction.” Applied Ocean Research, Vol.5, No. 1, pp. 30-37. 17. Tsay, T. K., Zhu, W. and Liu, P. L.–F. (1989), “A Finite Element Model for Wave Refraction and Diffraction, Reflection and Dissipation.” Applied Ocean Research, Vol.11, No. 1, pp. 33-38. 18. Wu, N. J. and Tsay, T. K. (2012), “A Robust Local Polynomial Collocation Method.” International Journal for Numerical Methods in Engineering. 19. 吳智文,“無網格數值方法應用於水面波散射之研究”,國立台灣大學土木工程學研究所碩士論文,2008。 20. 郭思吟,“海岸水域潮汐數值模式之研究”,國立台灣大學土木工程學研究所碩士論文,1995。 21. 陳柏旭,蔡丁貴,“局部輻射邊界條件在水波數值模式上之應用”,第十二屆海洋工程研討會論文集,pp. 1-9,1990. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/64109 | - |
dc.description.abstract | 摘要
本研究應用最近發展之數值方法-修正有限配點法,建立水波散射之數值模式,探討水波遇到結構物或島嶼,發生繞射、反射及折射之後的振幅、波高及速度場等,研究結構物對於水波的影響。 應用本模式計算入射水波受到圓柱、拋物線型圓島作用後,產生散射、繞射、折射的問題,初步得到結果良好;其次,本模式不只能夠順利求得速度勢能與波高,並且能直接準確求出速度勢能之偏導數而決定流場。 本模式應用於港池共振方面之問題,模擬不同週期之波浪於狹長港灣情形,分別計算港灣內的水波振幅,及其共振之振幅放大係數,初步結果亦良好,證明本模式亦可應用於狹長港池共振問題之研究。 本研究以數值計算結果與解析解比較,結果良好,初步證明以修正有限配點法及緩坡方程式(Mild slope equation),所建立之水波散射數值模式可應用於研究海岸波浪反射、折射、繞射、散射及共振問題。 | zh_TW |
dc.description.abstract | ABSTRACT
In this research, The Modified Finite Point collocation Method (MFPM) is applied to establish a numerical model of water wave, describing the phenomenon of combined reflection, diffraction, and refraction of water wave. Cases of water surface waves affected by cylinder with constant depths and parabolic-varying depths have been successfully verified by comparing present numerical results with analytical solutions. It is not only the wave amplitude can be obtained, but also the velocity field can be derived directly and accurately. In the case of harbor oscillation, different frequencies of incident waves are calculated in the narrow harbor of constant depth. Numerical solutions in the harbor basin is shown to agree very well with the analytical solutions (Mei, 1983). It is concluded that a numerical model by employing MFPM and the mild slope equation has been successfully developed. Present numerical model can accurately and efficiently be applied to simulate water-wave scattering problems. | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T17:30:24Z (GMT). No. of bitstreams: 1 ntu-101-R99521318-1.pdf: 2384470 bytes, checksum: 2db1ac669d8738e7657030b6ea3b629f (MD5) Previous issue date: 2012 | en |
dc.description.tableofcontents | 目錄
摘要 ii ABSTRACT iii 第一章 導論 1 1-1 文獻回顧 1 1-2 研究目的 3 第二章 數學模式的建立 4 2-1 控制方程式 4 2-2 波場邊界條件 5 2-2-1 開放邊界 5 2-2-2 結構物邊界 6 2-3 研究題目 6 第三章 數值模式方法 10 3-1 無網格數值方法 10 3-2傳統有限配點法介紹(FPM) 10 3-3 修正有限配點法(MFPM) 13 3-4建立水波散射模式 16 第四章 數值研究結果分析 23 4-1 單頻前進波受圓柱體影響之散射 25 1. 單頻前進波受圓柱體影響之解析解(MacCormick與Fuch) 25 2. 單頻前進波受圓柱體影響之數值解與結果分析 26 4-2 單頻前進波受拋物線變水深圓島散射流場 30 1. 變水深圓島周圍流場解析解(Homma,1950) 30 2. 變水深圓島周圍波場與流場之數值解與結果分析 32 4-3 狹長港池共振之研究 36 第五章 結論與建議 38 5-1 結論 38 5-2 未來發展與建議 39 參考文獻 40 | |
dc.language.iso | zh-TW | |
dc.title | 利用修正有限配點無網格法於水波散射問題 | zh_TW |
dc.title | Applications of Modified Finite Point Method to Water-wave Scattering | en |
dc.type | Thesis | |
dc.date.schoolyear | 100-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 楊德良,林銘崇 | |
dc.subject.keyword | 修正有限配點法,無網格數值方法,緩坡方程式,水波散射,港池共振, | zh_TW |
dc.subject.keyword | Modified Finite Point Method (MFPM),Meshless method,Mild-slope equation,wave scattering,harbor oscillation, | en |
dc.relation.page | 92 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2012-08-16 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
顯示於系所單位: | 土木工程學系 |
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