Acta Mechanica Sinica

, Volume 34, Issue 4, pp 623–631 | Cite as

An efficient unstructured WENO method for supersonic reactive flows

  • Wen-Geng ZhaoEmail author
  • Hong-Wei Zheng
  • Feng-Jun Liu
  • Xiao-Tian ShiEmail author
  • Jun Gao
  • Ning Hu
  • Meng Lv
  • Si-Cong Chen
  • Hong-Da Zhao
Research Paper


An efficient high-order numerical method for supersonic reactive flows is proposed in this article. The reactive source term and convection term are solved separately by splitting scheme. In the reaction step, an adaptive time-step method is presented, which can improve the efficiency greatly. In the convection step, a third-order accurate weighted essentially non-oscillatory (WENO) method is adopted to reconstruct the solution in the unstructured grids. Numerical results show that our new method can capture the correct propagation speed of the detonation wave exactly even in coarse grids, while high order accuracy can be achieved in the smooth region. In addition, the proposed adaptive splitting method can reduce the computational cost greatly compared with the traditional splitting method.


Supersonic reactive flows Adaptive splitting scheme Unstructured grids WENO reconstruction 



The project was supported by the National Natural Science Foundation of China (Grants 51476152, 11302213, and 11572336). The authors wish to thank Jun Meng, Li Liu, Jun Peng, Shengping Liu and Guangli Li for helpful discussions. Special thank goes to Prof. Yiqing Shen and Prof. Xinliang Li of the Institute of Mechanics CAS for their suggestions and help.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Wen-Geng Zhao
    • 1
    Email author
  • Hong-Wei Zheng
    • 2
    • 3
  • Feng-Jun Liu
    • 4
  • Xiao-Tian Shi
    • 1
    Email author
  • Jun Gao
    • 1
  • Ning Hu
    • 1
  • Meng Lv
    • 1
  • Si-Cong Chen
    • 1
  • Hong-Da Zhao
    • 5
  1. 1.China Academy of Aerospace and AerodynamicsBeijingChina
  2. 2.LHD, Institute of MechanicsCASBeijingChina
  3. 3.School of Engineering ScienceUniversity of Chinese Academy of SciencesBeijingChina
  4. 4.AECC Beijing Institute of Aeronautical MaterialsBeijingChina
  5. 5.Science and Technology on Scramjet LaboratoryBeijing Power Machinery Research InstituteBeijingChina

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