Journal of Shanghai Jiaotong University ›› 2016, Vol. 50 ›› Issue (05): 810-813.

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EntropyMonotone Scheme for Linear Advection Equation

WANG Zhigang1,2,CUI Yanfen2   

  1. (1. School of Mathematics and Statistics, Fuyang Normal College, Fuyang 236037, Anhui, China; 2. School of Sciences, Shanghai University, Shanghai 200444, China)
  • Received:2015-04-13 Online:2016-05-28 Published:2016-05-28

Abstract: Abstract: In numerical computation of conservation laws, the problem of the wear of linear discontinuity is of great concern. In order to decrease the wear of linear discontinuity, an entropymonotone scheme was designed for the linear advection equation. This scheme is a Godunov scheme, which includes reconstruction, evolution, and cellaveraging. Different from the traditional Godunov scheme, this scheme simultaneously computes the numerical solution and numerical entropy, and uses them to reconstruction the “step function” in each cell. Numerical experiments show that this scheme is very effective for the simulation of linear discontinuity.

Key words: Key words: linear advection equation, Godunov scheme, EntropyMonotone scheme

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