A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS

Xiaohan Cheng; Yufeng Nie; Jianhu Feng; Li Cai

doi:10.11948/2015035

2015 Volume 5 Issue 3

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Xiaohan Cheng, Yufeng Nie, Jianhu Feng, Li Cai. A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 453-464. doi: 10.11948/2015035

Citation:

Xiaohan Cheng, Yufeng Nie, Jianhu Feng, Li Cai. A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 453-464. doi: 10.11948/2015035

A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS

1 School of Science, Northwestern Polytechnical University, Xi'an 710129, China;
2 School of Science, Chang'an University, Xi'an 710064, China

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Abstract

Abstract

A high order central-upwind scheme for approximating hyperbolic conservation laws is proposed. This construction is based on the evaluation of the local propagation speeds of the discontinuities and Peer's fourth order non-oscillatory reconstruction. The presented scheme shares the simplicity of central schemes, namely no Riemann solvers are involved. Furthermore, it avoids alternating between two staggered grids, which is particularly a challenge for problems which involve complex geometries and boundary conditions. Numerical experiments demonstrate the high resolution and non-oscillatory properties of our scheme.
- Hyperbolic conservation laws /
- central-upwind scheme /
- fourth order non-oscillatory reconstruction /
- high resolution
MSC: 65M08;35L65

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References

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