| 具有Friction边界条件的Navier-Stokes方程的两重牛顿校正算法 |
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| 引用本文： | 安荣,王贤.具有Friction边界条件的Navier-Stokes方程的两重牛顿校正算法[J].温州大学学报(自然科学版),2013(1):1-7. |
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| 作者姓名： | 安荣 王贤 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江温州325035 |
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| 基金项目： | 基金项目：国家自然科学基金项目（10901122,11001205,11126226）;浙江省自然科学基金项目（LY12A01015,Y6110240） |
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| 摘 要： | 基于压力投影稳定有限元方法，给出一个求解具有Friction边界条件的Navier-Stokes方程的两重牛顿校正算法．从获得的误差估计可以看出，如果细网格尺度满足h=O（H^4），那么该两重牛顿校正算法与一重稳定有限元方法具有相同的收敛阶．与有关文献相比，该算法的计算效率更高．
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| 关 键 词： | Navier-Stokes方程 Friction边界条件 稳定有限元方法 两重牛顿校正方法 |
Two-level Newton Correction Algorithm for Solving Navier-Stokes Equations with Friction Boundary Conditions |
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| AN Rong,WANG Xian.Two-level Newton Correction Algorithm for Solving Navier-Stokes Equations with Friction Boundary Conditions[J].Journal of Wenzhou University Natural Science,2013(1):1-7. |
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| Authors: | AN Rong WANG Xian |
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| Institution: | (School of Mathematics and Information Science, Wcnzhou University, Wcnzhou, China 325035) |
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| Abstract: | Based on the pressure projection stable finite element method, this paper presents a two-level Newton correction algorithm for solving Navier-Stokes equations with friction boundary conditions. From the error estimations obtained, it can be seen that this method has the same order of convergence as one-fold stable finite element method if the fine grid scale accords with the formula h = O（H^4） .Reference to relevant documents, it can be found that the algorithm has higher efficiency of calculation. |
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| Keywords: | Navier-Stokes Equations Friction Boundary Conditions Stable Finite Element Method Two-level Newton Correction Algorithm |
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