通過均勻排列圓柱之潰壩流體計算和全範圍量測

Dam-break flow through an array of cylinders: computations and whole-field measurement

魏宛儀(Wan-Yi Wei)

指導教授 ： 卡艾瑋

國立臺灣大學/工學院/土木工程學研究所/碩士(2008年)

https://doi.org/10.6342/NTU.2008.00077

摘要

本論文主要探討通過均勻排列圓柱對二維潰壩流體之影響。使用螢光顆粒和藍色染料量測潰壩流體下游全範圍之速度和深度；並比較流域於兩種環境：設置均勻排列圓柱以及無圓柱。使用高速攝影機拍攝一系列連續的影像為追蹤顆粒路徑勘查速度向量場(PTV)。藍色的染料加入水中利用其對水深變化有敏感之顏色深淺反應以量測流場之水深變異。使用Hamilton＇s principle of least action 推導二維淺水方程式，並以之配合有限體積法建立二維潰壩數值模擬。數值結果以及實驗結果，其設置圓柱之流場以及無圓柱之流場，將互相比較之。

關鍵字

二維潰壩 ； 全範圍 ； PTV ； 二維淺水方程 ； 有限體積 ； 圓柱 ； 高速攝影機 ； 顆粒染料

並列摘要

The present thesis investigates two-dimensional dam-break flow through an array of
upright cylinders. Fluorescent particles and blue dye are added to the water to obtain
whole-field measurements of flow velocity and depth. The floodable domain is
measured under two circumstances: with and without cylinders. A high speed camera
takes a series of image for tracking particles to survey the velocity vector field (PTV).
A blue dye solution illuminated from below and imaged from above is used to
measure the variations of water depth. Hamilton’s principle of least action is exploited
to derive the 2DH shallow water equations, and finite volume computations are
performed. Experimental and numerical results, with and without cylinders, are
compared with each other.

並列關鍵字

two-dimensional dam-break ； whole-field ； PTV ； 2DH shallow water

參考文獻

Aureli, F., Maranzoni, A., Mignosa, P., and Ziveri, C. (2008) Dam-break flows: acquisition of experimental data through an imaging technique and 2D numerical modeling. J. Hydr. Eng. 134(8), 1089-1101.

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Fraccarollo, L. and Toro, E. F. (1995) Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems. J. Hydr. Res. 33, 843-864.

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