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題 名 | 移動格網代數生成法與局部細化在非線性波傳問題之應用=Algebraic Method of Generating Moving Grid with Local Refinement Applied to Nonlinear-Wave Problems |
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作 者 | 李自強; 唐啟釗; | 書刊名 | 航空太空及民航學刊. 系列B |
卷 期 | 39:1 2007.04[民96.04] |
頁 次 | 頁7-14 |
分類號 | 443.1 |
關鍵詞 | 代數格網生成; 局部細化格網; 大幅度移動邊界; Algebraic grid generation; Locally refined grids; Large-displacement moving boundary; |
語 文 | 中文(Chinese) |
中文摘要 | 本文以代數法生成瞬時貼壁格網,配合局部細化技巧,計算轉換Laplace 方程式之流函數解,來模擬非線性波流場,並應用於具大幅度移動邊界的兩水波問題:一爲孤立波在均勻水深渠道傳遞,另一爲垂直板以水平單向加速運動致流造波。以全域不同均勻格網所得結果先與微小時間近似解及前人研究比較驗證,再應用局部細化格網技巧於模式中,以評估其計算效率與數值精度。就目前問題兼顧效率與精度時,局部細化格網將可使整體計算速度提高約50~60%。 |
英文摘要 | The article discussed the algebraic moving-grid generation method with stream-function flow model to study the nonlinear-wave problems involving largely-displaced boundary. By solving the Laplace equation transformed in a transient boundary-fitted grid system we were able to assess the local grid-refinement technique on two problems: one for a solitary wave propagating along a long channel of uniform water depth, and the other for the free-surface flow disturbed by a vertical plate accelerated horizontally in a resting water channel. We first validated the model by comparing the calculated results in various uniform grids with the small-time perturbation solution and other investigations, and then quantified the computational efficiency and solution accuracy of the result using the grid-refinement technique in numerical model. In our study, it showed that the numerical work using the locally-refined grids saves up to 50~60% of CPU time, as compared with those using uniformly fine grids at the comparable accuracy. |
本系統中英文摘要資訊取自各篇刊載內容。