An efficient unstructured WENO method for supersonic reactive flows

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 th...

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Bibliographic Details
Published in:Acta mechanica Sinica 2018-08, Vol.34 (4), p.623-631
Main Authors: Zhao, Wen-Geng, Zheng, Hong-Wei, Liu, Feng-Jun, Shi, Xiao-Tian, Gao, Jun, Hu, Ning, Lv, Meng, Chen, Si-Cong, Zhao, Hong-Da
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Convection
Detonation waves
Engineering
Engineering Fluid Dynamics
Numerical methods
Research Paper
Splitting
Theoretical and Applied Mechanics
Unstructured grids (mathematics)
Wave propagation
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Summary: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.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-018-0756-1