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时空有限元方法的高效计算

李田 张继业 张卫华

李田, 张继业, 张卫华. 时空有限元方法的高效计算[J]. 西南交通大学学报, 2008, 21(6): 772-777.
引用本文: 李田, 张继业, 张卫华. 时空有限元方法的高效计算[J]. 西南交通大学学报, 2008, 21(6): 772-777.
LI Tian, ZHANG Jiye, ZHANG Weihua. Efficient Computation of Space-Time Finite Element Method[J]. Journal of Southwest Jiaotong University, 2008, 21(6): 772-777.
Citation: LI Tian, ZHANG Jiye, ZHANG Weihua. Efficient Computation of Space-Time Finite Element Method[J]. Journal of Southwest Jiaotong University, 2008, 21(6): 772-777.

时空有限元方法的高效计算

基金项目: 

973项目(2007CB714701)

国家自然科学资助基金资助项目(50521503)

国家自然科学杰出青年基金资助项目(50525518)

详细信息
    作者简介:

    李田(1984- ),男,博士研究生,研究方向为计算流体力学和列车流固耦合动力学,电话:028-86466040,E-mail:litian2008@home.swjtu.edu.cn

Efficient Computation of Space-Time Finite Element Method

  • 摘要: 为提高时空有限元方法求解二维瞬态不可压缩的Navier-Stokes方程的计算效率并降低对计算机内存的需求,用行格式存储法存储大型稀疏矩阵,用Newton-Raphson迭代法求解非线性代数方程组,用无填充不完全分解预处理方法以及重启型GMRES方法求解子迭代步的线性方程组.为验证该方法的可行性,对Reynolds数为100的圆柱绕流问题进行数值模拟.采用行格式存储法的存储空间仅为等带宽存储法的3.68%.

     

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出版历程
  • 收稿日期:  2008-05-28
  • 刊出日期:  2008-12-25

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