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題名 | 應用MAC方法並配合高度函數於二維堰流 |
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作者姓名(中文) | 施清吉; 蘇文福; | 書刊名 | 農業工程學報 |
卷期 | 39:3 1993.09[民82.09] |
頁次 | 頁1-12 |
分類號 | 443.1 |
關鍵詞 | MAC方法; 二維堰流; 高度函數; 明渠水力學; 自由面; 流動模擬; 流體力學; Open channel flow; Surface; Flow simulation; Fluid mechanics; |
語文 | 中文(Chinese) |
中文摘要 | 若堰之上游福祿數介於0.1與0.3之間,且上游權重參數與鬆弛因子均以 1計,利用MAC方法並配合高度函數可模擬得相當準確之自由面。其相對標準誤差在百分之二以下,但下表面晶格之速度必須採用連續方程式予以修正。流量係數之相對誤差稍大,大約在百分之二至百分之十。壓力分佈與速度剖面之變化傾向也非常合理,除了堰頂與其附近外。但是,這缺陷即可消除,若堰之範圍佔二行以上的晶格,而不是只佔一行。 |
英文摘要 | For a two dimensional weir flow with values of the upstream Froud number ranging from 0.1 to 0.3, the free surfaces simulated by the MAC method, with both the upstream weighting parameter and over relaxation factor equal to 1, coupled with two high functions are quite accurate within relative standard errors less than 0.03 as compared with the extensive experiments by the U.S. Bureau of Reclamation, if corrections of velocities by the continuity equation are extended to the lower surface cells. However, relative errors for the discharge coefficient range from 0.02 to 0.10 instead, with an average value of 0.07. As for pressure distributions and velocity profiles, numerical results show the reasonable tendency except in the neighborhood of the weir crest, around which the discrepancy can be eliminated if the weir is set to occupy more two columns of cells rather than only one column of cells. |
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