Volume 37 Issue 6
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ZHAO Bo, ZHAO Ming, LIU Wei, LI Xiaojian, LIU Zhengxian. Chimera grid technology with IPDG method[J]. Journal of Aerospace Power, 2022, 37(6): 1206-1216. doi: 10.13224/j.cnki.jasp.20210261
Citation: ZHAO Bo, ZHAO Ming, LIU Wei, LI Xiaojian, LIU Zhengxian. Chimera grid technology with IPDG method[J]. Journal of Aerospace Power, 2022, 37(6): 1206-1216. doi: 10.13224/j.cnki.jasp.20210261
shu

Chimera grid technology with IPDG method

doi: 10.13224/j.cnki.jasp.20210261
  • 1.

    Department of Mechanics，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: 2021-05-25
  • Publish Date: 2022-06-28
    Abstract
  • An internal penalty discontinuous Galerkin （IPDG） method was developed to solve the 2-D （two-dimensional）compressible Navier-Stokes equations together with chimera grid technique.The viscous flux was introduced as an auxiliary variable to reduce the equation order.The semi-discrete equation was solved with the discontinuous Galerkin method，and time marching was carried out with the implicit Newton-Krylov method.The accuracy of above methods was validated with the Couette flow in comparison of the exact solution.In addition，several test cases including viscous NACA0012 airfoil，steady and unsteady flow around a circular cylinder were simulated to verify the robustness and feasibility of the present methods.Eventually，the h-grid adaptive technique was also adopted in chimera grid to improve the resolution of shock wave.The inviscid transonic flow case over NACA0012 airfoil was also simulated.Result showed that，the number of cells after adaptation only increased by 8.4% compared with that without adaptation，but the shock resolution was significantly improved，and the calculated results near the shock were in better agreement with the experimental values，thereby verifying the effectiveness of the method.

     

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