Volume 36 Issue 2
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WANG Xian, LIU Wei, ZHAO Ming, LIU Zhengxian. Numerical simulations of supersonic mixing layers with IPDG method[J]. Journal of Aerospace Power, 2021, 36(2): 275-283. doi: 10.13224/j.cnki.jasp.2021.02.006
Citation: WANG Xian, LIU Wei, ZHAO Ming, LIU Zhengxian. Numerical simulations of supersonic mixing layers with IPDG method[J]. Journal of Aerospace Power, 2021, 36(2): 275-283. doi: 10.13224/j.cnki.jasp.2021.02.006
shu

Numerical simulations of supersonic mixing layers with IPDG method

doi: 10.13224/j.cnki.jasp.2021.02.006
  • 1.

    Mechanical Department,School of Mechanical Engineering,Tianjin University,Tianjin 300350,China

  • 2.

    School of Computer Science and Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China

  • Received Date: 2020-07-06
  • Publish Date: 2021-02-28
    Abstract
  • In order to satisfy the high-precision simulation of supersonic mixing layers, discontinuous Galerkin finite element numerical method based on internal penalty method (IPDG) was realized. The viscous flux was introduced as an auxiliary variable to reduce the Navier-Stokes equation order, the discontinuous Galerkin method was used for spatial discretization and the Newton-Krylov implicit method was used for time marching. Compared with the finite volume method, the numerical accuracy of the method was improved to the third-order. The numerical simulation of the supersonic mixing layers developed in two-dimensional planar space with a convective Mach number of 0.2 was carried out, and the reliability of the method was verified by comparison with the experimental data. The numerical results clearly indicated the development of flow transition and vortices in the mixing layer. Meanwhile, the adaptive mesh technology based on numerical solution error distribution was combined with IPDG method.The comparison showed that the number of adaptive grids was reduced by 9 times, and the calculation time was reduced by 8 times, thus significantly improving the calculation efficiency of the method.

     

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