CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1996, Vol. 13 ›› Issue (3): 379-384.

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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

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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