外部非定常Navier-Stokes方程的非线性Galerkin算法

何银年; 李开泰

外部非定常Navier-Stokes方程的非线性Galerkin算法

西安交通大学, 理学院科学计算系, 西安, 710049

基金项目: 国家重大基础研究发展规划专项基金资助项目(G1999032801-07);国家自然科学基金资助项目(19971067);陕西省自然科学基金资助项目(99SL05);教育部留学回国人员基金资助项目([1999]747)

详细信息

作者简介:
何银年(1953- ),男,陕西长安人,教授,博士(E-mail:heyn@xjtu.edu.cn).

中图分类号: O242.21;O241.82
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- 被引次数: 0
出版历程
- 收稿日期: 2001-03-27
- 修回日期: 2002-05-28
- 刊出日期: 2002-11-15

Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations

Departement of Scientific Computing, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049 P R China

摘要

摘要: 提出了求解外部非定常Navier-stokes方程的有限元边界元耦合的非线性Galerkin算法,证明了相应变分问题的正则性和数值解的收敛速度。收敛性分析表明如果选取粗网格尺度H是细网格尺度h的开平方数量级,则该算法提供了与古典Galerkin算法同阶的收敛速度。然而非线性Galerkin算法仅仅需要在粗网格解非线性问题,在细网格上解线性问题。因此,该算法可以节省计算工作量。
- Navier-Stokes方程 /
- 有限元 /
- 边界元 /
- 外部 /
- 非线性 /
- Galerkin算法
Abstract: A new algorithm combining nonlinear Galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations. The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved.If the fine meshh is choosed as coarse mesh H-sgure, the nonlinear Galerkin method,nonlineatity is only treated on the coarse grid and linearity is treated on the fine grid.Hence,the new algorithm can save a large amount of computational time.
- Navier-Stokes equation /
- finite element /
- boundary element /
- exterior /
- nonlinear /
- galerkin merhod

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参考文献(16)

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