| Volume 5, Number 3, 2015, Pages 453-464 DOI：10.11948/2015035 |
| A high order central-upwind scheme for hyperbolic conservation laws |
| Xiaohan Cheng,Yufeng Nie,Jianhu Feng,Li Cai |
| Keywords:Hyperbolic conservation laws central-upwind scheme fourth order non-oscillatory reconstruction high resolution |
| 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. |
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