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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 張倉榮(Tsang-Jung Chang) | |
dc.contributor.author | Wei-Cheng Hung | en |
dc.contributor.author | 洪偉誠 | zh_TW |
dc.date.accessioned | 2021-06-08T01:21:44Z | - |
dc.date.copyright | 2014-08-16 | |
dc.date.issued | 2014 | |
dc.date.submitted | 2014-08-07 | |
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(1988). “An introduction to SPH.” Computer Physics Communications, 48, 89-96. 25. Monaghan, J.J (1989). “On the problem of penetration in particle methods.” Journal of Computational physics, 82, 1-15. 26. Monaghan, J.J. (1992). “Smoothed particle hydrodynamics.” Annual Review of Astronomical and Astrophysics, 30, 543-574. 27. Monaghan, J.J. (1994). “Simulating free-surface flows with SPH.” Journal of Computational Physics, 110, 399-406. 28. Monaghan, J.J., and Kocharyan, A. (1995). “SPH simulation of multi-phase flow.” Computer Physics Communications, 87, 225-235. 29. Morris, J.P., Fox, P.J., and Zhu, Y. (1997). “Modeling low Reynolds number incompressible flows using SPH.” Journal of Computational Physics, 136, 214-226. 30. Morris, J.P., Zhu, Y., and Fox, P.J. (1999). “Parallel simulations of pore-scale flow through porous media.” Computers and Geotechnics, 25, 227-246. 31. Randles, P.W., and Libersky, L.D. (1996). “Smoothed particle hydrodynamics: some recent improvements and applications.” Computer Methods in Applied Mechanics and Engineering, 138, 375-408. 32. Rodriguez-Paz, M., and Bonet, J. (2005). “A corrected smooth particle hydrodynamics formulation of the shallow-water equations.” Computer and Structures, 83, 1396-1410. 33. Shao, S., and Lo, E.Y.M. (2003). “Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface.” Advance in Water Resources, 26, 787-800. 34. Sturm, T.W. (2001). “Open channel hydraulics.” McGraw-Hill Inc., New York. 35. Swegle, J.W., Hick, D.L., and Attaway, S.W. (1995). “Smoothed particle hydrodynamics stability analysis.” Journal of Computational Physics, 116, 123-134. 36. Toro, E.F. (1999). “Shock Capturing Methods for Free Surface Shallow Water Flows.” Wiley, New York. 37. Vacondio, R., Rogers, B.D., and Stansby, P.K. (2011). “Smoothed particle hydrodynamics: approximate zero-consistent 2-d boundary conditions and still shallow-water tests.” International Journal for Numerical Methods in Fluids, 69, 226-253. 38. Vacondio, R., Rogers, B.D., Stansby, P.K., and Mignosa, P. (2012). “SPH Modeling of Shallow Flow with Open Boundaries for Practical Flood Simulation.” Journal of Hydraulic Engineering, 138, 530-541. 39. Wang, Z., and Shen, H.T. (1999). “Lagrangian simulation of one-dimensional dam-break flow.” Journal of Hydraulic Engineering, 125, 1217-1220. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/18721 | - |
dc.description.abstract | 本研究以平滑粒子動力法 (smoothed particle hydrodynamics, SPH) 建立SPH側入流模組,並應用於明渠側入流問題之探討。SPH為一種拉格朗日 (Lagrangian) 觀點描述流體運動的無網格數值方法,由於SPH是以粒子呈現物理空間,且粒子會隨時間變化移動位置,相較傳統網格法,SPH在如何描述固定位置的側入流影響主流流況上是較不易執行。
在SPH中的粒子本身帶有質量,本研究試圖利用權重方式將側入流流量增加至側入流處鄰近粒子的質量上,以計算粒子的水位變化,並在動量方程式考慮側入流流量給予的動量變化。此外,因應模擬過程粒子質量變化,修正傳統平滑長度在每個時間間距的更新公式,建立以粒子體積為參數的平滑長度更新公式。本研究利用三個研究案例來測試新SPH模式在側入流流況預測上之能力,包括穩態單點側入流系統、非穩態單點側入流系統與非穩態多點側入流系統。將模擬結果與HEC-RAS模式進行比較,發現兩者在結果上有一致性,此說明本研究所發展的新SPH模式具有準確性與應用性。 | zh_TW |
dc.description.abstract | In this research, smoothed particle hydrodynamics (SPH) is applied to solve shallow water equations and investigate the lateral flows in open-channels. SPH is a meshfree numerical method based on the Lagrangian viewpoint to describe the motion of fluid. Particles are used to discretize spatially the computational domain in SPH. Since particles move freely with time in SPH, the effect of lateral flows on main channels estimated by SPH is more difficult than mesh-based numerical methods.
In SPH, each particle has its own mass. The approach of increasing each particle mass by a weighting summation is proposed to update the water depth of each particle at every time step. In addition, the evolution of a smoothing length of each particle depends on the volume instead of the density herein. In this research, three study cases, including steady flows in single lateral-channel systems, unsteady flows in single lateral channel systems and unsteady flows in multi-lateral channel systems, are used to test the ability of the new SPH model on the simulation of lateral flows in open-channels. To compare with a mesh-based numerical package called HEC-RAS, the SPH and the HEC-RAS simulated profiles of the discharge and the water depth are consistent. Thus, the new SPH is capable of handling lateral flows in open channels. | en |
dc.description.provenance | Made available in DSpace on 2021-06-08T01:21:44Z (GMT). No. of bitstreams: 1 ntu-103-R01622021-1.pdf: 2862943 bytes, checksum: 0021eb4966b49ff2832fe2a87930bc03 (MD5) Previous issue date: 2014 | en |
dc.description.tableofcontents | 摘要 I
Abstract II 目錄 III 表目錄 VI 圖目錄 VII 符號對照表 X 第一章 緒論 1 1.1 研究目的 1 1.2 研究方法 2 1.3 文獻回顧 3 1.4 論文架構 5 第二章 SPH理論介紹 7 2.1 SPH核心理論 7 2.2 粒子近似法 8 2.3 核函數 10 2.4 粒子搜尋法 11 第三章 SPH求解淺水波方程式之方法 15 3.1 淺水波方程式 15 3.2 SPH離散化淺水波方程式 16 3.3 SPH側入流設置方法 18 3.4 SPH數值執行方法 20 3.4.1 可變動平滑長度 20 3.4.2 水深求解方法 21 3.4.3 人工黏滯力 23 3.5 出入流邊界條件 24 3.6 時間積分法 29 3.7 計算流程 30 第四章 模式驗證案例 34 4.1 SPH平滑長度以密度作為修正 35 4.2 SPH平滑長度以體積作為修正 36 4.3 HEC-RAS模擬結果 36 第五章 應用案例 43 5.1 穩態單點側入流系統 43 5.2 非穩態單點側入流系統 45 5.2.1 遞增歷線 45 5.2.2 三角歷線 47 5.3 非穩態多點側入流系統 49 第六章 結論與建議 69 6.1 結論 69 6.2 建議 70 參考文獻 71 | |
dc.language.iso | zh-TW | |
dc.title | 新平滑粒子動力法對於明渠側入流流況之研析 | zh_TW |
dc.title | A new SPH-SWE approach for modeling of lateral flows in open-channels | en |
dc.type | Thesis | |
dc.date.schoolyear | 102-2 | |
dc.description.degree | 碩士 | |
dc.contributor.coadvisor | 謝正義(Cheng-I Hsieh) | |
dc.contributor.oralexamcommittee | 陳明志(Ming-Jyh Chern),朱佳仁(Chia-Ren Chu),張高華(Kao-Hua Chang) | |
dc.subject.keyword | 平滑粒子動力法,淺水波方程式,側入流,平滑長度,數值模擬, | zh_TW |
dc.subject.keyword | smoothed particle hydrodynamics,shallow water equations,lateral flows,smoothing length,numerical simulation, | en |
dc.relation.page | 75 | |
dc.rights.note | 未授權 | |
dc.date.accepted | 2014-08-07 | |
dc.contributor.author-college | 生物資源暨農學院 | zh_TW |
dc.contributor.author-dept | 生物環境系統工程學研究所 | zh_TW |
顯示於系所單位: | 生物環境系統工程學系 |
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