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Navier-Stokes方程的全离散Jacobi-球面调和谱方法

黄伟 郭本瑜

黄伟, 郭本瑜. Navier-Stokes方程的全离散Jacobi-球面调和谱方法[J]. 应用数学和力学, 2008, 29(4): 409-431.
引用本文: 黄伟, 郭本瑜. Navier-Stokes方程的全离散Jacobi-球面调和谱方法[J]. 应用数学和力学, 2008, 29(4): 409-431.
HUANG Wei, GUO Ben-yu. Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2008, 29(4): 409-431.
Citation: HUANG Wei, GUO Ben-yu. Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2008, 29(4): 409-431.

Navier-Stokes方程的全离散Jacobi-球面调和谱方法

基金项目: 国家自然科学基金资助项目(10771142);上海市科委科技攻关资助项目(75105118);上海市重点学科建设资助项目(T0401,J50101);上海高校E-研究院基金资助项目(E03004);上海大学创新基金资助项目(A.10-0101-07-408)
详细信息
    作者简介:

    黄伟(1960- ),男,上海人,副教授,博士(联系人.Tel:+86-21-66133908(o);+86-21-59915200(h);E-mail:weihuang@mail.shu.edu.cn).

  • 中图分类号: O174.41;O241.82;O357.1

Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations

  • 摘要: 提出了一种用于球内Navier-Stokes方程的全离散Jacobi-球面调和谱方法,并证明了它的广义稳定性和收敛性.数值结果表明了该方法的有效性.该方法也可应用于球形区域中的其它问题.
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出版历程
  • 收稿日期:  2007-10-19
  • 修回日期:  2008-03-07
  • 刊出日期:  2008-04-15

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