A New Numerical Scheme for Linear Scalar Conservation Laws

Rong San Chen; An Ping Liu; Shui Ming He; Xin Li Hu

doi:10.4028/www.scientific.net/AMM.127.65

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 127A New Numerical Scheme for Linear Scalar...

A New Numerical Scheme for Linear Scalar Conservation Laws

Abstract:

In this paper, we develop a numerical scheme with the fifth-order polynomial reconstruction satisfying two conservation laws for the linear advection equation. The scheme is the Godunov type, and has two numerical entities, numerical solution and numerical entropy. Numerical experiments show that the scheme is more robust in long-time behaviors than that of [8].

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Periodical:

Applied Mechanics and Materials (Volume 127)

Pages:

65-70

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.127.65

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Online since:

October 2011

Authors:

Rong San Chen, An Ping Liu, Shui Ming He, Xin Li Hu

Keywords:

Conservation Laws, Fifth-Order, Reconstruction

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References

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