北京航空航天大学学报 ›› 2003, Vol. 29 ›› Issue (4): 335-338.

• 论文 • 上一篇    下一篇

高阶熵条件格式下Euler方程与 N-S方程的混合算法

李劲菁, 李椿萱, 董海涛   

  1. 北京航空航天大学 飞行器设计与应用力学系
  • 收稿日期:2002-01-15 出版日期:2003-04-30 发布日期:2010-09-27
  • 作者简介:李劲菁(1976-),女,湖南株洲人,硕士生,100083,北京.
  • 基金资助:

    国防科技重点实验室基金试点项目(98GS34.5.5.1)

High Order Entropy Condition Scheme for Mixed Euler/N-S Equations

Li Jingjing, Li Chunxuan, Dong Haitao   

  1. Dept. of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics
  • Received:2002-01-15 Online:2003-04-30 Published:2010-09-27

摘要: 针对在工程问题中使用N-S方程计算量大的问题,提出只在粘性作用显著的局部区域求解N-S方程,在流场的其余部分采用Euler方程计算的办法来模拟具有复杂外形的流动问题,并提出了一种基于高阶熵条件格式的算子分裂算法.应用所构造的算法对绕迫击炮弹的亚、跨超声速流动进行了模拟计算.计算结果与试验数据的对比表明,所提出的方法是切实可行的.

Abstract: In order to circumvent the problem of a huge amount of computing time required for solving viscous flows over bodies with complicated configuration using N-S equations, a mixed Euler/N-S solver was proposed. The solver is capable of preserving sufficient accuracy by using N-S equations in the flow field where viscous effects emerge as the dominant factor and employing Euler equations in the remaining regions. The primary scheme was constructed based on a high order entropy condition algorithm, in conjunction with an operator splitting concept deduced from theory of semi-group. The developed method was usedto simulate subsonic, transonic as well as supersonic flows over a mortar configuration. The numerical results were compared favorably with experimental data.

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