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RSS FeedsEntropy, Vol. 21, Pages 508: A Fourth Order Entropy Stable Scheme for Hyperbolic Conservation Laws (Entropy)

 
 

19 may 2019 06:02:03

 
Entropy, Vol. 21, Pages 508: A Fourth Order Entropy Stable Scheme for Hyperbolic Conservation Laws (Entropy)
 


This paper develops a fourth order entropy stable scheme to approximate the entropy solution of one-dimensional hyperbolic conservation laws. The scheme is constructed by employing a high order entropy conservative flux of order four in conjunction with a suitable numerical diffusion operator that based on a fourth order non-oscillatory reconstruction which satisfies the sign property. The constructed scheme possesses two features: (1) it achieves fourth order accuracy in the smooth area while keeping high resolution with sharp discontinuity transitions in the nonsmooth area; (2) it is entropy stable. Some typical numerical experiments are performed to illustrate the capability of the new entropy stable scheme.


 
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