计算物理 ›› 1996, Vol. 13 ›› Issue (3): 379-384.

• 论文 • 上一篇    

一种修正的隐式NND格式

夏南1, 陈培基2, 陆夕云2, 庄礼贤2   

  1. 1. 上海应用数学和力学研究所, 上海 200072;
    2. 中国科技大学近代力学系, 合肥 230026
  • 收稿日期:1994-06-12 修回日期:1995-11-15 出版日期:1996-09-25 发布日期:1996-09-25

A MODIFIED IMPLICIT NND DIFFERENCE SCHEME

Xia Nan1, Chen Peiji2, Lu Xiyun2, Zhuang Lixian2   

  1. 1. Shanghai Institute Applied Mathematics and Mechanis, Shanghai 200072;
    2. The University of Science and Technology of China, Hefei 230026
  • Received:1994-06-12 Revised:1995-11-15 Online:1996-09-25 Published:1996-09-25

摘要: 应用隐式NND格式对一维激波管破膜问题进行了数值试验并与隐式矢通量分裂格式、显式NND格式进行了比较。将该格式推广到轴对称Euler方程,对球柱在M=1附近的跨音速绕流进行了计算

关键词: 数值计算差, 分格式, Euler方程

Abstract: An implicit difference scheme solving Euler equations is developed based on NND ideas. Numerical test of diaphragm rupture in one-dimensional shock tube is carried out. The results are compared with those of implicit flux vector fractorization and explicit NND scheme. Extended to axisymmetric Euler equations, this scheme can be used to calculate the transonic flow near M=1 for sphere cylinder.

Key words: numerical calculation, finite difference method, Euler equations

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