| LONG-TIME CONVERGENCE OF GENERALIZED DIFFERENCE METHOD FOR NAVIER-STOKES EQUATIONS |
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| 作者姓名： | 武海军 李荣华 |
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| 作者单位： | Wu Haijun Li RonghuaDepartment of Mathematics，Jiling University，Changchun 130012 PRC. Institute of Mathematics，Jilin University，Changchun 130012，PRC. |
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| 基金项目： | The project supported by Laboratory of Computational Physics,Institute of Applied Physics & Computational Mathematics,T.O.Box 80 0 9,Beijing 1 0 0 0 88 |
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| 摘 要： | 1 IntroductionIn this paper,we firstprovide a generalized difference method for the two-dimension-al Navier-Stokes equations by combining the ideas of staggered scheme6] and generalizedupwind scheme 4 ] in space,and by backward Euler time-stepping.Then we apply theabstractframework of7] to prove its long-time convergence.The outline of this paper is as follows:In§ 2 we state the generalized differencemethod.In§ 3 we provide some lemmas.In§ 4 we study the one-sided Lipschitz condi-tio…
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LONG-TIME CONVERGENCE OF GENERALIZED DIFFERENCE METHOD FOR NAVIER-STOKES EQUATIONS |
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| Wu Haijun,Li Ronghua.LONG-TIME CONVERGENCE OF GENERALIZED DIFFERENCE METHOD FOR NAVIER-STOKES EQUATIONS[J].Numerical Mathematics A Journal of Chinese Universities English Series,2001,10(2). |
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| Authors: | Wu Haijun Li Ronghua |
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| Institution: | 1. Department of Mathematics, Jiling University, Changchun 130012
2. Institute of Mathematics, Jilin University, Changchun 130012 |
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| Abstract: | In this paper, we first provide a generalized difference method for the 2-dimensional Navier-Stokes equations by combing the ideas of staggered scheme m and generalized upwind scheme in space, and by backward Euler time-stepping. Then we apply the abstract framework of to prove its long-time convergence. Finally, a numerical example for solving driven cavity flows is given. |
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| Keywords: | generalized difference method staggered scheme upwind scheme long-time convergence |
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