| TWO-LEVEL METHOD FOR UNSTEADY NAVIER-STOKES EQUATIONS IN STREAM FUNCTION FORM |
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| 作者姓名： | RenChunfeng MaYichen XuHui |
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| 作者单位： | [1]CollegeofScience,Xi＇anJiaotongUniv.,Xi＇an710049,China. [2]CollegeofScience,Xi＇anJiaotongUniv.,Xi＇an710049,China. |
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| 基金项目： | theNationalNaturalScienceFoundationofChina(10371096) |
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| 摘 要： | Two-level finite element approximation to stream function form of unsteady Navier-Stokes equations is studied. This algorithm involves solving one nonlinear system on a coarse grid and one linear problem on a fine grid. Moreover,the scaling between these two grid sizes is super-linear. Approximation,stability and convergence aspects of a fully discrete scheme are analyzed. At last a numrical example is given whose results show that the algorithm proposed in this paper is effcient.
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| 关 键 词： | 二级有限元逼近法 怜函数 不稳定Navier-Stokes方程 非线性 偏微分 |
| 收稿时间： | 17 June 2002 |
Two-level method for unsteady Navier-Stokes equations in stream function form |
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| RenChunfeng MaYichen XuHui.TWO-LEVEL METHOD FOR UNSTEADY NAVIER-STOKES EQUATIONS IN STREAM FUNCTION FORM[J].Applied Mathematics A Journal of Chinese Universities,2005,20(1):105-120. |
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| Authors: | Ren Chunfeng Ma Yichen Xu Hui |
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| Institution: | (1) College of Science, Xi’an Jiaotong Univ., 710049 Xi’an, China |
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| Abstract: | Two-level finite element approximation to stream function form of unsteady Navier-Stokes equations is studied.This algorithm involves solving one nonlinear system on a coarse grid and one linear problem on a fine grid.Moreover,the scaling between these two grid sizes is super-linear.Approximation,stability and convergence aspects of a fully discrete scheme are analyzed.At last a numrical example is given whose results show that the algorithm proposed in this paper is effcient. |
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| Keywords: | Navier-Stokes equations two-level method stream function approximation stability convergence |
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