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| 題 名 | MacCormack法在變量流模式之優缺點探討=Advantages of MacCormack Scheme in Unsteady Flow Computation |
|---|---|
| 作 者 | 許少華; 溫至剛; | 書刊名 | 逢甲學報 |
| 卷 期 | 32 1997.12[民86.12] |
| 頁 次 | 頁45-60 |
| 分類號 | 443 |
| 關鍵詞 | MacCormack法; De St. venant方程組; 移流延散方程式; 變量流; 水躍; MacCormack scheme; De st. venant equations; Advection-dispersion equation; Unsteady flow; Hydraulic jump; |
| 語 文 | 中文(Chinese) |
| 中文摘要 | 本文探討MacCormack數值方法在非定常亞臨界流、超臨界流交替情況下,解de St . Venant方程式的適用性,並以此數值方法,求解懸移質傳輸方程式以模擬泥砂在水中運動 的現象。首先模擬水平無糙度渠床之正湧浪與潰壩情形,並以解析解驗證,同時檢驗數值方 法對質量的守恆性,皆得到滿意結果。唯因數值振盪問題,必須以人工滯度使之平滑。所求 解的懸移質傳輸方程式也在定常水流條件下趨近理論解。討論例中模擬了超臨界流、亞臨界 流、變量流、以及對於單一擾動的反應、及超臨界流況轉為亞臨界流況等情況,均有合理結 果;其中並針對水躍前後變化情形加以探討。因 MacCormack 法為顯式法,計算時距明顯受 限於穩定條件。 |
| 英文摘要 | MacCormack scheme is examined by solving de St. Venant equations and advection-dispersion equation for the interior points of solution domain. For boundary points, method of characteristic line is employed. Mass conservation is checked and cases of positive/negative surges with analytical solutions are utilized to verify this numerical model. Artificial viscosity is found necessary in smoothing numerical oscillation inherited from this explicit, second order scheme. Cases of interesting phenomena are then tested to show the usefulness of MacCormack Scheme. No effort is needed to track the hydraulic discontinuity in the case of sudden change from supercritical to subcritical flow. Constrained by stability condition, the time step of MacCormack scheme is relatively small. |
本系統中英文摘要資訊取自各篇刊載內容。