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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク MacCormack method ： ウィキペディア英語版 MacCormack method In computational fluid dynamics, the MacCormack method is a widely used discretization scheme for the numerical solution of hyperbolic partial differential equations. This second-order finite difference method was introduced by Robert W. MacCormack in 1969.〔MacCormack, R. W., The Effect of viscosity in hypervelocity impact cratering, AIAA Paper, 69-354 (1969).〕 The MacCormack method is elegant and easy to understand and program.〔Anderson, J. D., Jr., Computational Fluid Dynamics: The Basics with Applications, McGraw Hill (1994).〕 == The algorithm == The MacCormack method is a variation of the two-step Lax–Wendroff scheme but is much simpler in application. To illustrate the algorithm, consider the following first order hyperbolic equation :$$ \qquad \frac + a \frac = 0 . The application of MacCormack method to the above equation proceeds in two steps; a ''predictor step'' which is followed by a ''corrector step''. Predictor step: In the predictor step, a "provisional" value of $u$ at time level $n+1$ (denoted by $u\_i^\}\; =\; u\_i^n\; -\; a\; \backslash frac\; \backslash left(\; u\_^n\; -\; u\_i^n\; \backslash right)$ It may be noted that the above equation is obtained by replacing the spatial and temporal derivatives in the previous first order hyperbolic equation using forward differences. Corrector step: In the corrector step, the predicted value $u\_i^\; =\; u\_i^\; -\; a\; \backslash frac\; \backslash left(\; u\_i^^$ term by the temporal average :$$ u_i^ = \frac to obtain the corrector step as :$$ u_i^ = \frac - a \frac \left( u_i^^{\overline{n+1}} \right) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「MacCormack method」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.