CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1994, Vol. 11 ›› Issue (1): 45-50.

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CONSTRUCTION OF SYMMETRIC TVD SCHEMES AND THEIR APPLICATIONS

Lu Xiyun, Zhuang Lixian, Tong Binggang   

  1. University of Science and Technology of China, Hefei, Anhui, 230026
  • Received:1992-07-03 Revised:1993-04-02 Online:1994-03-25 Published:1994-03-25

Abstract: A class of second-order explicit and implicit symmetric total variation diminishing (TVD) schemes is constructed for the computation of weak solutions of hyperbolic conservation laws.The resulting scheme can be viewed as a limited anti-diffusive flux, that is centered weighted flux, to add to a first-order GCIR scheme. Numerical experiments for solving the Euler equations for capturing shock waves show that the symmetric TVD schemes are quite robust and accurate.

Key words: difference scheme, numerical method