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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 張倉榮 | |
dc.contributor.author | Kao-Hua Chang | en |
dc.contributor.author | 張高華 | zh_TW |
dc.date.accessioned | 2021-06-07T17:50:49Z | - |
dc.date.copyright | 2012-11-22 | |
dc.date.issued | 2012 | |
dc.date.submitted | 2012-11-12 | |
dc.identifier.citation | Amicarelli, A., Marongiu, J.C., Leboeuf, F., Leduc, J., Caro, J. (2011). “SPH truncation error in estimating a 3D function.” Comput Fluids, 44, 279-296.
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(1993). “High-strain Lagrangian hydrodynamics - a 3-dimensional SPH code for dynamic material response.” J Comput Phys, 109(1), 67-75. Liu, G.R., Liu, M.B. (2003). “Smoothed particle hydrodynamics: a meshfree particle method.” Singapore: World Scientific Publishing. Lucy, L.B. (1977). “A numerical approach to the testing of the fission hypothesis.” Astrophys J, 82, 1013-1024. Lu, W., Howarth, A.T. (1996). “Numerical analysis of indoor aerosol particle deposition and distribution in two-zone ventilation system.” Build Environ, 31, 41-50. Macdonald, I. (1995). “Test problems with analytic solutions for steady open channel flow.” Numerical Analysis Report 6/94, University of Reading, Department of Mathematics. 60 Macdonald, I., Baines, M.J., Nichols, N.K., Samuels, P.K. (1997). “Analytic benchmark solutions for open channel flows.” J Hydraul Eng-ASCE, 123, 1041-1045. Monaghan, J.J., Lattanzio, J.C. (1985). “A refined particle method for astrophysical problems.” Astron Astrophys, 149(1), 135-143. Monaghan, J.J. (1988). “An introduction to SPH.” Comput Phys Commun, 48, 89-96. Monaghan, J.J., Lattanzio, J.C. (1991). “A simulation of the collapse and fragmentation of cooling molecular clouds.” Astrophys J, 375(1): 177-189. Monaghan, J.J. (1994). “Simulating free-surface flows with SPH.” J Comput Phys, 110, 399-406. Morris, J.P., Fox, P.J., Zhu, Y. (1997). “modeling low reynolds number incompressible flows using SPH.” J Comput Phys, 136, 214-226. Quinlan, N.J., Basa, M., Lastiwka, M. (2006). “Truncation error in mesh-free particle methods.” Int J Numer Meth Eng, 66(13), 2064-2085. Randles, P.W., Libersky, L.D. (1996). “Smoothed particle hydrodynamics: some recent improvements and applications.” Comput. Method. Appl. M., 139, 375-408. Rhoades, C.E. (1992). “A fast algorithm for calculating particle interactions in smooth particle hydrodynamic simulations.” Comput Phys Commun, 70, 478-482. Rodriguez-Paz, M., Bonet, J. (2005). “A corrected smooth particle hydrodynamics formulation of the shallow-water equations.” Comput Struct, 17-18, 1396-1410. Sanders, B.F., 2001. High-resolution and non-oscillatory solution of the St. Venant equations in non-rectangular and non-prismatic channels. J. Hydraul. Res. 39: 321-330. Sturm, T.W. (2010). “Open channel hydraulics.” McGraw-Hill Inc., New York. Vacondio, R., Rogers, B.D., Stansby, P.K. (2011). “Smoothed particle hydrodynamics: approximate zero-consistent 2-d boundary conditions and still shallow-water tests.” Int J Numer Meth Fl, 69, 226-253. Vacondio, R., Rogers, B.D., Stansby, P.K., Mignosa, P. (2012). “SPH modeling of shallow flow with open boundaries for practical flood simulation.” J Hydraul Eng-ASCE, 138, 530-541. Vila, J.P. (1999). “On particle weighted methods and smooth particle hydrodynamics.” Math Mod Meth Appl S, 9(2), 161-209. Wang, Z., Shen, H.T. (1999). “Lagrangian simulation of one-dimensional dam-break flow.” J Hydraul Eng-ASCE, 125, 1217-1220. Zhao, B., Zhang, Y., Li, X., Yang, X., Huang, D. (2004). “Comparison of indoor 61 aerosol particle concentration and deposition in different ventilated rooms by numerical method.” Build Environ, 39, 1-8. Zhang, Z., Chen, Q. (2006). “Experimental measurements and numerical simulations of particle transport and distribution in ventilated rooms.” Atmos Environ, 40, 3396-3408. Zhang, Z., Chen, Q. (2007). “Comparison of the Eulerian and Lagrangian methods for predicting particle transport in enclosed spaces.” Atmos Environ, 41, 5236-5248. Zhang, Z., Chen, Q. (2009). “Prediction of particle deposition onto indoor surfaces by CFD with a modified Lagrangian method.” Atmos Environ, 43, 319-328. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/15725 | - |
dc.description.abstract | 平滑粒子動力法(smoothed particle hydrodynamics,簡稱SPH)為一種拉格郎君觀點的無網格數值方法。SPH特性是以粒子呈現物理空間,任何物理量皆是以內插方式計算。目前SPH被許多研究案例證實其在處理大形變問題上有著令人讚賞的結果,特別是含有自由液面的流況問題。近期SPH被應用於求解淺水波方程式(shallow water equations,簡稱SWE)去模擬潰壩流況,但皆屬於封閉邊界問題;Vacondio等更進一步提出特徵邊界法去處理含有開放邊界的明渠流問題。由於特徵邊界法是以黎曼不變數建立出入流的邊界條件,而黎曼不變數僅存在於矩形與三角形斷面渠道。為了讓SPH-SWE模組能夠適用於非矩形斷面渠道,本研究引用特定時間間距法,其為求解特徵方程式去建立無論是矩形或非矩形渠道案例的出入流邊界條件。此外,目前SPH-SWE模組皆是求解水深與流速的相依變數,此僅能描述定型渠道流況,而無法呈現受非定型渠道的渠寬變化影響之流況,故本研究是求解斷面積與流量的相依變數。為了測試本研究所建立的新SPH-SWE模組,選取三個具有代表性案例進行模擬。模擬案例包含非均一底床坡度、不同出入流邊界條件、矩形與梯形斷面渠道、及定型與非定型渠道等情境以供測試。經模擬與解析及量測結果比較,顯示兩者趨勢頗為吻合,說明了新SPH-SWE模組能夠處理明渠流問題。
另外,因為SPH實為一種內插法,本研究將SPH應用於室內懸浮微粒的濃度場計算,在此稱作為權重內插法。選擇一含有入流口與初流口的單間房間為模擬區域,並於入流口連續施放微粒進行流場與粒子軌跡的二相流模擬。濃度計算方面,除了權重內插法以外,還有目前普遍被使用的樣本體積法,目的為比較兩者之差異。最後,在利用權重內插法計算粒子濃度時,兩種粒子搜尋法被用來比較計算效率,即all-pair與linked-list搜尋法。結果顯示,linked-list搜尋法是較有效率,而且當濃度觀測點數超過O(104)時,all-pair與linked-list搜尋法所耗費CPU時間之比值會趨於定值,約為28。 | zh_TW |
dc.description.abstract | Smoothed particle hydrodynamics (SPH) is a Lagrangian meshless method. In SPH, particles are used to present physical domains and any physical quantity is computed by interpolating. Many research cases have been proven that SPH can deal with the problems of large deformation. Recently, SPH is applied to solve the shallow water equations (SWE) to simulate dam-break flow with closed boundaries. Vacondio et al. further proposed the characteristic boundary method to predict open channel flows with open boundaries. In the characteristic boundary method, the Riemann invariants are used to establish in/out-flow boundary conditions. However, the Riemann invariants are formulated only for the cases of rectangular and triangular channels. For the purpose that SPH-SWE can simulate non-rectangular channel flows, the newly SPH-SWE approach with the specified time interval method is proposed in this research. Thus, the in/out-flow boundary conditions are set up in non-rectangular channels by solving the characteristic equations in the newly SPH-SWE approach. On the other hand, the dependent variables of water depth and water velocity are solved in the traditional SPH-SWE. To reflect the effect of variable channel width on flows in the non-prismatic channels, the dependent variables of wetted cross-section area and water discharge are solved herein. Three benchmark study cases are used to validate the ability of the newly SPH-SWE approach on non-rectangular and non-prismatic channel flows. The study cases include non-uniform bed slope, various combinations of in/out-flow boundary conditions, rectangular and non-rectangular, and prismatic and non-prismatic etc. In comparison with analytic and measured results, the simulated results show good predictions. It can be demonstrated that the newly SPH-SWE approach is capable of simulating open channel flows.
Another part of the research, SPH is utilized to compute the indoor particulate matter (PM) concentrations (called the kernel method). A single room with the inlet and outlet is chosen as the simulation domain and PM is injected continuously at the inlet. The simulations of wind flow field and particle trajectory are executed. Two methods, i.e. the kernel method and the sampling volume method, are applied for the computation of PM concentrations. To make a comparison between the two methods, it can be found that the kernel method is more efficient with the same accuracy. Finally, the all-pair and linked-list search algorithms are used in the kernel method. In the view of the efficiency, the linked-list search algorithm is more efficient. It can be detected that the ratio of required CPU time between the all-pair and linked-list search algorithms is 28 as the number of observed concentration points exceeds O(104). | en |
dc.description.provenance | Made available in DSpace on 2021-06-07T17:50:49Z (GMT). No. of bitstreams: 1 ntu-101-F94622026-1.pdf: 1833190 bytes, checksum: 048470bbb7f3a4f8d5c64b7d9299f9fd (MD5) Previous issue date: 2012 | en |
dc.description.tableofcontents | 謝誌 ................................................................................................................ I
摘要 ............................................................................................................... II ABSTRACT ............................................................................................................. IV 目錄 .............................................................................................................. VI 表目錄 .............................................................................................................. IX 圖目錄 ............................................................................................................... X 第一章 緒論........................................................................................................ 1 1.1 研究動機 ........................................................................................................................... 1 1.2 無網格數值方法介紹 ....................................................................................................... 1 1.3 文獻回顧 ........................................................................................................................... 2 1.3.1 SPH之理論發展 ..................................................................................................... 2 1.3.2 平滑粒子動力法在淺水波方程式之應用 .............................................................. 5 1.4 論文架構 ........................................................................................................................... 5 第二章 SPH之理論介紹 ..................................................................................... 9 2.1 SPH之核心理論................................................................................................................ 9 2.2 SPH公式.......................................................................................................................... 10 2.3 核函數 ............................................................................................................................. 12 2.4 粒子搜尋法 ..................................................................................................................... 13 第三章 SPH應用於室內微粒濃度場計算 ........................................................ 16 3.1 尤拉流場模擬 ................................................................................................................. 16 3.2 拉格郎君的粒子軌跡模擬 ............................................................................................. 17 3.3 微粒濃度計算理論 ......................................................................................................... 18 VII 3.3.1 樣本體積法 ............................................................................................................ 18 3.3.2 權重內插法 ............................................................................................................ 19 3.4 搜尋法 ............................................................................................................................. 19 3.5 結果與討論 ..................................................................................................................... 20 3.5.1 樣本體積法於微粒濃度計算之結果 .................................................................... 21 3.5.2 權重內插法於微粒濃度計算之結果 .................................................................... 22 3.5.3 All-pair搜尋法與Linked-list搜尋法之比較 ...................................................... 22 第四章 SPH-SWE之理論介紹 ........................................................................... 29 4.1 淺水波方程式 ................................................................................................................. 29 4.2 數值執行 ......................................................................................................................... 29 4.2.1 斷面積計算 ............................................................................................................ 29 4.2.2 離散化的動量方程式 ............................................................................................ 31 4.2.3 人工黏滯性 ............................................................................................................ 32 4.2.4 時間積分方法與時間間距選取 ............................................................................ 33 第五章 SPH-SWE處理開放邊界之方法介紹 .................................................... 35 5.1 特徵方程式 ..................................................................................................................... 35 5.2 邊界特徵法(BOUNDARY CHARACTERISTIC METHOD) ................................................................ 36 5.3 特定時間間距法(METHOD OF SPECIFIED TIME INTERVAL) ....................................................... 37 5.4 入流與出流演算法 ......................................................................................................... 38 5.5 出流與入流邊界條件 ..................................................................................................... 39 第六章 SPH-SWE模擬案例之結果與討論........................................................ 42 6.1 矩形定型渠道 ................................................................................................................. 42 6.1.1 粒子敏感度分析 .................................................................................................... 43 6.1.2 數值準確性與質量守恆檢定 ................................................................................ 44 VIII 6.2 梯形定型渠道 ................................................................................................................. 44 6.2.1 粒子敏感度分析 .................................................................................................... 45 6.2.2 數值準確性與質量守恆檢定 ................................................................................ 46 6.3 矩形非定型渠道 ............................................................................................................. 46 6.3.1 粒子敏感度分析 .................................................................................................... 47 6.3.2 數值準確性與質量守恆檢定 ................................................................................ 47 第七章 結論與建議 .......................................................................................... 56 7.1 結論 ................................................................................................................................. 56 7.1.1 SPH於室內懸浮微粒濃度場計算之應用 ........................................................... 56 7.1.2 SPH求解SWE在開放邊界的明渠流之應用 ..................................................... 56 7.2 建議 ................................................................................................................................. 56 參考文獻 ............................................................................................................. 58 | |
dc.language.iso | zh-TW | |
dc.title | 平滑粒子動力法在淺水波方程式與微粒濃度場之應用 | zh_TW |
dc.title | SPH on shallow water equations and particulate matter concentration distribution | en |
dc.type | Thesis | |
dc.date.schoolyear | 101-1 | |
dc.description.degree | 博士 | |
dc.contributor.oralexamcommittee | 許銘熙,葉克家,陳樹群,吳祚任 | |
dc.subject.keyword | 平滑粒子動力法,淺水波方程式,特定時間間距法,開放邊界,非矩形與非定型渠道,懸浮微粒,All-pair與Linked-list搜尋法, | zh_TW |
dc.subject.keyword | Smoothed particle hydrodynamics,Shallow water equations,Method of specified time interval,Open boundaries,Non-rectangular and non-prismatic channel,Particulate matter,All-pair and Linked-list search algorithm, | en |
dc.relation.page | 61 | |
dc.rights.note | 未授權 | |
dc.date.accepted | 2012-11-12 | |
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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