Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (5): 1296-1310.

Previous Articles     Next Articles

High Order Sign Preserving Entropy Stable Schemes

Supei Zheng(),Xia Xu*(),Jianhu Feng(),Dou Jia()   

  1. College of Science, Chang'an University, Xi'an 710064
  • Received:2020-05-27 Online:2021-10-26 Published:2021-10-08
  • Contact: Xia Xu;;;
  • Supported by:
    the NSFC(11971075);the NSF of Shaanxi Province(2020JQ-338);the NSF of Shaanxi Province(2019JM-243)


Ensuring the sign preserving on entropy variable after the high-order reconstruction is fundamental in constructing the high-order entropy stable schemes. In this paper, we construct the 3rd order compact CWENO-type entropy stable schemes (Fjordholm's the 3rd order entropy conservative schemes with sign preserving compact CWENO reconstruction for the entropy variable) and prove the sign preserving on entropy variable with the 3rd order compact CWENO reconstruction. Numerical results show that the schemes can achieve third-order accuracy, and have high resolution, robustness and non-oscillation.

Key words: Sign preserving, Compact CWENO reconstruction, Entropy stable schemes

CLC Number: 

  • O354