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求解二维不可压缩Navier-Stokes方程的混合型微分求积法

孙建安 朱正佑

孙建安, 朱正佑. 求解二维不可压缩Navier-Stokes方程的混合型微分求积法[J]. 应用数学和力学, 1999, 20(12): 1259-1266.
引用本文: 孙建安, 朱正佑. 求解二维不可压缩Navier-Stokes方程的混合型微分求积法[J]. 应用数学和力学, 1999, 20(12): 1259-1266.
Sun Jian'an, Zhu Zhengyou. A Mixture Differential Quadrature Method for Solving Two-Dimensional Incompressible Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1259-1266.
Citation: Sun Jian'an, Zhu Zhengyou. A Mixture Differential Quadrature Method for Solving Two-Dimensional Incompressible Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1259-1266.

求解二维不可压缩Navier-Stokes方程的混合型微分求积法

详细信息
    作者简介:

    孙建安(1964~ ),男,副教授,主要从事流体力学数值方法的研究.

  • 中图分类号: O357.1

A Mixture Differential Quadrature Method for Solving Two-Dimensional Incompressible Navier-Stokes Equations

  • 摘要: 微分求积法(DQM)能以较少的网格点求得微分方程的高精度数值解,但采用单纯的微分求积法求解二维不可压缩Navier-Stokes方程时,只能对低雷诺数流动获得较好的数值解,当雷诺数较高时会导致数值解不收敛。为此,提出了一种微分求积法与迎风差分法混合求解二维不可压缩Navier-Stokes方程的预估-校正数值格式,用伪时间相关算法以较少的网格点获得了较高雷诺数流动的数值解。作为算例,对1:1和1:2驱动方腔内的流动进行了计算,得到了较好的数值结果。
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出版历程
  • 收稿日期:  1998-01-06
  • 修回日期:  1999-04-21
  • 刊出日期:  1999-12-15

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