[1]杜彬彬,黄建国.求解不可压Navier-Stokes方程的一种高效两水平方法[J].南京师范大学学报(自然科学版),2019,42(03):157-162.[doi:10.3969/j.issn.1001-4616.2019.03.021]
　Du Binbin,Huang Jianguo.An Efficient Two-Level Method for SolvingIncompressible Navier-Stokes Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2019,42(03):157-162.[doi:10.3969/j.issn.1001-4616.2019.03.021]
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求解不可压Navier-Stokes方程的一种高效两水平方法()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第42卷
期数:
2019年03期
页码:
157-162
栏目:
·数学·
出版日期:
2019-09-30

文章信息/Info

Title:
An Efficient Two-Level Method for SolvingIncompressible Navier-Stokes Equations
文章编号:
1001-4616(2019)03-0157-06
作者:
杜彬彬; 黄建国
上海交通大学数学科学学院,上海 200240
Author(s):
Du Binbin; Huang Jianguo
School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China
关键词:
Arrow-Hurwicz方法; Navier-Stokes方程; 两水平方法; Oseen格式
Keywords:
Arrow-Hurwicz method; incompressible Navier-Stokes equations; two-level method; Oseen scheme
分类号:
O24
DOI:
10.3969/j.issn.1001-4616.2019.03.021
文献标志码:
A
摘要:
提出了一种基于Arrow-Hurwicz(A-H)方法的两水平方法(以下简称m-A-H-1-Oseen方法)来求解不可压Navier-Stokes(N-S)方程. 首先在粗网格上采用A-H方法求解不可压N-S方程,得到粗网格上的数值解. 然后在细网格上利用粗网格上的数值解求解原方程线性化的Oseen格式,由此获得所需的两水平方法. 对该方法的收敛性进行了系统理论分析.
Abstract:
This paper proposes a two-level Arrow-Hurwicz(A-H)method(simply called the m-A-H-1-Oseen method)for solving incompressible Navier-Stokes(N-S)equations. The incompressible N-S equations are first solved by the A-H method to obtain a numerical solution on a coarse mesh. Next,the desired numerical solution is obtained by solving the Oseen scheme,which is derived on a fine mesh by linearizing the original equations using the coarse solution,leading to the required two-level method. The convergence analysis is developed systematically.

参考文献/References:

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相似文献/References:

[1]陈浦胤,黄建国.求解稳态N-S方程的Uzawa算法的几何收敛性[J].南京师范大学学报(自然科学版),2014,37(02):15.
　Chen Puyin,Huang Jianguo.On the Geometric Convergence of the Uzawa Algorithm for Steady Incompressible NavierStokes Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2014,37(03):15.

备注/Memo

备注/Memo:
收稿日期:2019-03-20.基金项目:国家自然科学基金面上项目(11571237). 通讯联系人:杜彬彬,博士研究生,研究方向:科学计算. E-mail:sjtudbb@sjtu.edu.cn
更新日期/Last Update: 2019-09-30