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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 劉格非 | |
dc.contributor.author | "Chih-Kai, Huang" | en |
dc.contributor.author | 黃治凱 | zh_TW |
dc.date.accessioned | 2021-06-17T02:21:54Z | - |
dc.date.available | 2020-08-25 | |
dc.date.copyright | 2017-08-25 | |
dc.date.issued | 2017 | |
dc.date.submitted | 2017-08-20 | |
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/68464 | - |
dc.description.abstract | 台灣地區土石流災害頻繁,一般事前預警的方法之中,土石流計算模擬是其中常見的一種方法,本文根據前人開發出來的模式,藉由粗細兩種網格的操作,計算後進行外插處理,而外插的根據來自於數值離散方式的誤差推導,旨在希望外插後的結果能夠優於原本粗細兩種網格計算的結果。本文先藉由基礎理論的章節,利用三大方程式來進行誤差推導與外插應用,說明方法進行的實際作用,進入土石流相關章節後,詳細推導出模式本身計算上的誤差,再經由不同組實驗,觀察理論與實際結果的吻合程度,來驗證外插法使用的結果。 | zh_TW |
dc.description.abstract | In this paper, according to the pattern developed by the predecessors,
the operation of the two kinds of grids is calculated and the extrapolation is applied to after the calculation of the two kinds of meshes. The extrapolation is based on the error derived from the numerical discretization method, and it is intended that the results after extrapolation be better than the results of the two coarse grid calculations. This paper first uses the three different equations to carry out the error derivation and extrapolation application, illustrating the practical effect of the method. About the relevant sections of the debris flow, the calculation of the error of the model itself is derived. Then by different groups of experiments, Observe the degree of agreement between the theory and the actual results, to verify the results of the use of extrapolation. | en |
dc.description.provenance | Made available in DSpace on 2021-06-17T02:21:54Z (GMT). No. of bitstreams: 1 ntu-106-R04521326-1.pdf: 2958569 bytes, checksum: 6614da0d147084992275225ff380f602 (MD5) Previous issue date: 2017 | en |
dc.description.tableofcontents | 中文摘要 ……………………………………………………………………………I
英文摘要 …………………………………………………………………………II 目錄 ………………………………………………………………………………III 圖目錄 ………………………………………………………………………………V 表目錄………………………………………………………………………………VII 第一章 緒論 1 1.1 研究動機 1 1.2 研究方法 2 1.3 論文架構 3 第二章 文獻回顧 5 2.1 數值運算之網格操作 5 2.2 理查森外插法(Richardson extrapolation) 6 2.2.1起源 6 2.3 土石流相關之理論與數值計算 9 2.3.1 賓漢流體的運動行為 9 2.3.2 土石流機制與現地事件 9 2.3.3 土石流模擬方面 10 2.3.4數值計算穩定條件 11 第三章 基本理論及應用 13 3.1 拉普拉斯方程式(Laplace equation ) 14 3.1.1 數值計算 14 3.1.2 誤差形式推導 15 3.1.3 外插結果分析 19 3.1.4收斂精度(Convergence rate)與小節 24 3.2 擴散方程式Diffusion equation 25 3.2.1 數值計算 25 3.2.2 誤差形式推導 26 3.2.3 外插結果分析 28 3.2.4收斂精度(Convergence rate)與小節 34 3.3 波動方程式Wave equation 37 3.3.1 數值計算 37 3.3.2 誤差形式推導 38 3.3.3 外插結果分析 40 3.3.4收斂精度(Convergence rate)與小節 46 3.4 總結三大方程式與理察森外插法之使用 48 第四章 土石流數值計算及應用 49 4.1基本介紹 49 4.2數值計算方式 50 4.3 模式基本設定(輸出與輸入) 53 4.4 誤差形式分析 55 4.4.1 連續方程式 55 4.4.2 X方向動量方程式 57 4.4.3 Y方向動量方程式 61 4.5 不同組模擬實驗應用狀況 65 4.5.1 坡度緩的大渠道 65 4.5.2 坡度陡的大渠道(30度) 79 4.5.3 水平底床土堆滑落實驗 85 4.6 此章總節 92 第五章 結論與建議 93 5.1 結論 93 5.2 建議 94 參考文獻 95 | |
dc.language.iso | zh-TW | |
dc.title | 利用理查森外插法應用於土石流計算 | zh_TW |
dc.title | Applying Richardson Extrapolation
to the Simulation of Debris Flow | en |
dc.type | Thesis | |
dc.date.schoolyear | 105-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 周憲德,何昊哲,黃亦敏 | |
dc.subject.keyword | 土石流,理查森外插法,數值模擬, | zh_TW |
dc.subject.keyword | Debris Flow,Richardson Extrapolation,Numerical Simulation, | en |
dc.relation.page | 97 | |
dc.identifier.doi | 10.6342/NTU201703775 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2017-08-20 | |
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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