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標題: | 支流堰塞湖演變分析:實驗與數值方法 Experimental and numerical study of evolving tributary-dammed lakes |
作者: | Wan-Ching Weng 翁琬晴 |
指導教授: | 卡艾瑋(Herve Capart) |
關鍵字: | 河床演變,支流堰塞湖,HLL,特徵結構,一維淺水方程模式,二階精度, Fluvial geomorphology evolution,Tributary-dammed lake,HLL,Eigenstructure,One dimensional shallow-water model,Second-order accuracy, |
出版年 : | 2014 |
學位: | 碩士 |
摘要: | 本篇論文結合實驗與數值計算模擬支流大量供砂下河床變化之情形。實驗渠道為長312公分,寬1.2公分的小尺度實驗,以上游流量與供砂量達動床平衡作為初始條件,在渠道中游提供三種供砂量,並藉此使河川形貌動力產生不同的現象,經由影像處理自動捕捉底床與水面的變化,再透過淺水方程式 (Shallow water equation),艾克納方程式 (Exner equation)以及邊界特徵結構分析 (Eigenstructure analysis),並根據HLL與LHLL和有限體積法建立一維雙層地貌數值模式。本文中亦延伸該模式至二階精度以探討不同階數次序的模擬差異,最後透過實驗結果以檢核數值模擬的表現。 In this study, one-dimension laboratory experiments and mathematical descriptions are used to perform the evolution of river influenced by tributary sediment influx. For the small-scale laboratory experiments (312cm long and 1.2 cm width), three tests are conducted to describe the differences of the morphodynamic response of the river bed: tributary-induced cuspate aggradation, tributary-dammed lake and water blocking dam. To simulate the phenomena, the numerical model dividing the flow into two layers, a pure water layer and a sediment transport layer, adopts shallow water equations that govern the evolution of each interface: with appropriate boundaries which depend on characteristics equations. According to the HLL, LHLL scheme and finite volume numerical solver, the model can be extended to both first-order and second-order accurate version. The proposed methods are applied to the laboratory experiments in order to examine the performance of the one dimensional geomorphological model. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/57620 |
全文授權: | 有償授權 |
顯示於系所單位: | 土木工程學系 |
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