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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
      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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