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題名 | 四階有限差分法求解可壓縮流場穩定性問題探討 |
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作者 | 吳俊仁; | 書刊名 | 力學 |
卷期 | 9:1 1993.03[民82.03] |
頁次 | 頁69-74 |
分類號 | 443.67 |
關鍵詞 | 可壓縮流場; 四階; 有限差分法; 求解; 穩定性; 漸近邊界條件; Compressible flow; Stability; Asymptotic boundary conditions; |
語文 | 中文(Chinese) |
中文摘要 | 本論文主要目的在於提供一數值方法以為求解可壓縮邊界層流場和合層流流場之 穩定性問題。 Euler-Maclurin 公式被引用以建立求解此問題之有限差分數值程式,由本方 法所求解答案在垂直於流場方向可以達到四階之準確度。本文並且以漸近邊界條件替代無窮 遠邊界條件,因而增進數值計算效率。本方法計算結果分別與 SUPORT 程式和 IMSL 之副程 式 DB2PFD 所計算結果比較,顯示以本方法求解兩點邊界值問題可以得到高效率和較穩定之 答案。 |
英文摘要 | The method proposed in this paper provides a numerical scheme in solving the instabilities of the compressible boundary-layer and mixing-layer flows. The Euler-Maclurin formula is employed to develop a compact finite difference numerical code which leads the solution up to the fourth-order accuracy of the variation in the direction normal to the streamwise. The asymptotic boundary conditions are imposed in the free stream by a smaller distance from the wall for the boundary-layer problem, and hence improve the performance of the computation. The present method is compared with the computer code SUPORT and the finite difference method by IMSL. The results show that the present method is more efficient and stable in solving this type of the twopoint boundary value problems. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。