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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2009, Vol. 30 ›› Issue (2): 200-204.

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High Resolution of Subsonic Flows on Coarse Grids

Lu Hongqiang, Wu Yizhao, Zhou Chunhua, Tian Shuling   

  1. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics
  • Received:2007-12-10 Revised:2008-01-23 Online:2009-02-15 Published:2009-02-15
  • Contact: Lu Hongqiang

Abstract:

A high-order discontinuous galerkin (DG) method is used to solve the 2-D Euler equations on unstructured grids. Numerical results indicate that highly accurate solutions can be obtained using high-order DG and real solid boundary conditions even on very coarse grids. Besides, preconditioning is not necessary when using high-order DG for very low Mach flows. Since a good initial guess is required when Newton-generalized minimal residual method (Newton-GMRES) is used, a hierarchic iteration procedure is developed to improve the robustness of relaxation.

Key words: discontinuous galerkin, high-order scheme, Euler equations, coarse grids, Newton-GMRES

CLC Number: