计算物理 ›› 1992, Vol. 9 ›› Issue (2): 139-146.

• 论文 • 上一篇    下一篇

隐式ENO格式及其在内流问题中的应用

马汉东1, 马延文2   

  1. 1. 北京空气动力研究所, 北京 100074;
    2. 中国科学院力学研究所, 北京 100080
  • 收稿日期:1991-06-11 出版日期:1992-06-25 发布日期:1992-06-25

IMPLICIT ENO SCHEME AND ITS APPLICATIONS ON INTERNAL FLOW PROBLEMS

Ma Handong1, Ma Yanwen2   

  1. 1. Beijing Institute of Aerodynamics;
    2. Institute of Mechanics, Academia Sinicd
  • Received:1991-06-11 Online:1992-06-25 Published:1992-06-25

摘要: 本文研究了文献[1]提出的隐式ENO格式,并对其隐式求解过程进行了改进,而且耦合以CSCM式的隐式特征边界处理。通过对超音速内流无粘流动(Euler方程)以及粘性流动(Navier-Stokes方程)的ENO格式数值解研究表明:改进后的格式是成功的,其稳定性好且节省内存。同时,本文也讨论了一些尚待进一步研究的问题。

关键词: 隐式ENO格式, 内流, 激波, 分离

Abstract: In this paper, we present a modified implicit ENO scheme and combine it with CSCM-like implicit supra-characteristic boundary treatment. Numencal experiment with this scheme for 2-D channel fupersonic flow aboat 4% circular arc has damenstrated the sharp shock-capturing capability of the scheme. The results are also compared with those of TVD scheme. The futher application to the viscid flow in simplified inlet is made. They show a good agreelment with the results of SIP/Beam-warming schemes except nearby the reflection point of shock. But our results seem to be more reasonable.

Key words: ENO scheme, channel flow, shock, separation