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非定常线性化Navier-Stokes方程的非协调流线扩散有限元法分析

陈豫眉 谢小平

陈豫眉, 谢小平. 非定常线性化Navier-Stokes方程的非协调流线扩散有限元法分析[J]. 应用数学和力学, 2010, 31(7): 822-834. doi: 10.3879/j.issn.1000-0887.2010.07.007
引用本文: 陈豫眉, 谢小平. 非定常线性化Navier-Stokes方程的非协调流线扩散有限元法分析[J]. 应用数学和力学, 2010, 31(7): 822-834. doi: 10.3879/j.issn.1000-0887.2010.07.007
CHEN Yu-mei, XIE Xiao-ping. Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(7): 822-834. doi: 10.3879/j.issn.1000-0887.2010.07.007
Citation: CHEN Yu-mei, XIE Xiao-ping. Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(7): 822-834. doi: 10.3879/j.issn.1000-0887.2010.07.007

非定常线性化Navier-Stokes方程的非协调流线扩散有限元法分析

doi: 10.3879/j.issn.1000-0887.2010.07.007
基金项目: 国家自然科学基金资助项目(10771150);国家重点基础研究发展规划资助项目(2005CB321701);教育部新世纪优秀人才基金资助项目(NCET-07-0584);四川省教育厅青年基金资助项目(07ZB087)
详细信息
    作者简介:

    陈豫眉(1972- ),女,四川人,副教授,博士生(E-mail:chen.yumei08@gmai.lcom);谢小平,教授,博士生导师(联系人.Tel:+86-28-66918107;E-mail:xpxiec@gmail.com).

  • 中图分类号: O242.21

Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations

  • 摘要: 对非定常线性化Navier-Stokes方程提出了非协调流线扩散有限元方法.用向后Euler格式离散时间,用流线扩散法处理扩散项带来的非稳定性.速度采用不连续的分片线性逼近,压力采用分片常数逼近.得到了离散解的存在唯一性以及在一定范数意义下离散解的稳定性和误差估计.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2010-05-28
  • 刊出日期:  2010-07-15

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