劉氏保群算法於高雷諾數Burgers方程之應用及探討

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Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/60439

Title:	劉氏保群算法於高雷諾數Burgers方程之應用及探討
Authors:	李苡珊;Lee,E-Shan
Contributors:	土木工程學系
Keywords:	劉氏保群算法;Burgers 方程
Date:	2013-07-22
Issue Date:	2013-08-22 11:37:27 (UTC+8)
Publisher:	國立中央大學
Abstract:	本文探討劉氏於2006年發表關於計算高雷諾數之保存群性質數值方法[30]。此篇文章在探討高雷諾數數值解部分採用雙曲線函數座標轉換，本文則採用指數函數座標轉換與之對比，另外，也用傳統數值方法RK4與劉氏GPS(LGPS)計算出之數值結果做一詳細之比較。此外，我們也考慮網格點數量之多寡對RK4與LGPS之影響，最後，我們嘗試使用牛頓插值公式找出R-A關係式，如此，雷諾數值一旦改變即可不必重新尋找A值了。 This article explores Professor Liu C.S. published in 2006 on the calculation of the preservation group nature of high Reynolds number numerical methods [30]. This article to explore the numerical solution of partial high Reynolds coordinate transformation using hyperbolic functions, exponential functions are used herein coordinate transformations contrast. In addition, the traditional numerical methods RK4 and Liu GPS (LGPS) calculated the numerical results do a detailed comparison. Moreover, we also consider the number of grid points of the amount of the impact on RK4 and LGPS. Finally, we try to use Newton's interpolation formula to identify RA relationships, so, once the Reynolds number can be changed without re looking for A worth it.
Appears in Collections:	[Graduate Institute of Civil Engineering] Electronic Thesis & Dissertation

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