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外部非定常Navier-Stokes方程的非线性Galerkin算法

何银年 李开泰

何银年, 李开泰. 外部非定常Navier-Stokes方程的非线性Galerkin算法[J]. 应用数学和力学, 2002, 23(11): 1141-1149.
引用本文: 何银年, 李开泰. 外部非定常Navier-Stokes方程的非线性Galerkin算法[J]. 应用数学和力学, 2002, 23(11): 1141-1149.
HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.
Citation: HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149.

外部非定常Navier-Stokes方程的非线性Galerkin算法

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

Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations

  • 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。
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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

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