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Volume 42 Issue 4
Apr.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(4): 806-814.
WU Zeyan, WANG Lifeng, WU Zheet al. Adaptive simple WENO limiter-discontinuous Galerkin method for Euler equations[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 806-814. doi: 10.13700/j.bh.1001-5965.2015.0237(in Chinese)
Citation: WU Zeyan, WANG Lifeng, WU Zheet al. Adaptive simple WENO limiter-discontinuous Galerkin method for Euler equations[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 806-814. doi: 10.13700/j.bh.1001-5965.2015.0237(in Chinese)
shu

Adaptive simple WENO limiter-discontinuous Galerkin method for Euler equations

doi: 10.13700/j.bh.1001-5965.2015.0237
  • 1.

    College of Hydraulic and Environmental Engineering, China Three Gorges University, Yichang 44300

  • 2. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Funds:  Talents Scientific Research Starting Foundation of China Three Gorges University (KJ2014B031)
  • Received Date: 18 Apr 2015
  • Rev Recd Date: 17 Jul 2016
  • Publish Date: 20 Apr 2016
    Abstract
  • To achieve high precision and high resolution numerical result of Euler equations, the basic principle of discontinuous Galerkin method, the simple WENO limiter on triangular meshes and shock capturing method based on adaptive mesh refinement were introduced. The simple WENO limiter-discontinuous Galerkin method was applied to the curved quadrilateral element, and the adjacent elements of every element with the same coordinates of the Gauss integral points on the boundaries were found. The adaptive computation based on “trouble element” refinement was accomplished. Several benchmark test cases were computed. The numerical results show that the simple WENO limiter is appropriate for the curvilinear boundary quadrilateral element and for the shock capturing based on unstructured grids with hanging nodes.

     

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