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有限體積逆風通量分裂算則於水池型魚道之水流模擬及應用

A Finite-volume Upstream-flux-splitting Scheme for Flow Simulations in the Pool-type Fishways

摘要


本文利用有限體積逆風通量分裂算則求解二維淺水波方程式,以進行兩個已知幾何尺寸的水池型魚道水流模擬,包括垂直豎孔式魚道與固床瀑布式魚道。在魚道流場模擬演算後,將所獲得的水深與流速,與魚道水工模型試驗之量測資料,進行比較及驗證,並根據各水池的消能率,以及魚類突進泳速與魚道流場中最大流速值之比較,以探討魚道水理是否符合魚類上溯之需求。最後,藉由多種不同入流量之模擬演算,將所獲得的最大流速值與其對應流量之關係曲線,配合魚類突進泳速,可獲得台灣五種上溯魚種(包括台灣鏟頜魚、台灣石□、台灣馬口魚、粗首鱲以及平頜鱲),分別在垂直豎孔式與固床瀑布式魚道中,所能克服的單位寬度極限流量,應可提供設計魚道設施之參考。

並列摘要


This paper deals with applications of a finite volume scheme to the flow simulations in the pool-typed fishways. The scheme is based on the finite volume method with the upstream flux-splitting algorithm for solving the two-dimensional shallow water equations. The scheme is then applied to simulate flows in two different types of pool fishways, namely the vertical-slot-typed fishway and waterfall-typed fishway. The simulated results by the presented scheme are compared with those by the experiments. Based on the average energy dissipation rate per unit volume in the pool, the burst swimming speed of fish and the maximum velocity in flow of fishway, the maximum discharges per unit width are numerically estimated for five species of fishes, including Varicorhinus barbatulus, Acrossocheilus paradoxus, Zacco barbata, Zacco pachycephalus, and Zacco platypus. Maximum acceptable discharges for fish migration would be helpful for fishway design in the future.

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