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| EntropyMonotone Scheme for Linear Advection Equation |
| WANG Zhigang1,2,CUI Yanfen2
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| (1. School of Mathematics and Statistics, Fuyang Normal College, Fuyang 236037, Anhui, China;
2. School of Sciences, Shanghai University, Shanghai 200444, China) |
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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 entropymonotone scheme was designed for the linear advection equation. This scheme is a Godunov scheme, which includes reconstruction, evolution, and cellaveraging. 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.
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Received: 13 April 2015
Published: 28 May 2016
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