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題名 | 半拉格朗日法的數值實驗 |
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作者姓名(中文) | 曾忠一; 郭廷新; | 書刊名 | 大氣科學 |
卷期 | 23:1 1995.03[民84.03] |
頁次 | 頁19-33 |
分類號 | 328.884 |
關鍵詞 | 半拉格朗日法; 非線性平流方程; Semi-Lagrangian method; Burgers equation; |
語文 | 中文(Chinese) |
中文摘要 | 本研究進行半拉格朗日法的數值實驗,在一維的實驗中我們比較二位面和三位面格式以及各種內插格式之間的差異,測試結果發現四種二位面格式中有三種內插格式優於三位面格式。二維的實驗比Rancic and Sindjic (1989) (以下簡稱RS)的結果更接近解析解的最大值1,總誤差、頻散誤差和耗散誤差也都比RS的結果小,這說明了RS所使用的半拉格朗日格式不但不是非內插的格式,也不是具有最小耗數、最小頻散誤差的格式。 |
英文摘要 | In this study, we investigate the semi-Largrangian method by executing the following two experiments. In one-dimensional experiment, we study the numerical solution of the inviscid Burgers equation by semi-Largrangian method. The differences between two-time-level and three-time-level scheme are compared. Test results show that three of the four tested two-time-level schemes are better than the three-time-level scheme used by Kuo and Williams (1990). In two-dimensional experiment, numerical results show less total, dispersion, and dissipation error in comparison with Rancic and Sindjic (1989). Maximum value of numerical solution is closer to analytical solution than Rancic and Sindjic (1989) in position. The preceding experiment indicates that the semi-Largrangian scheme used in Rancic and Sindjic (1989) is neither a non-interpolating scheme nor a scheme with minimum dissipation and dispersion error. |
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