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A Discontinuous Galerkin Method on Arbitrary Grids with High Order Boundary Discretization

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The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018) (APISAT 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 459))

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Abstract

In this paper a numerical solution method for compressible Euler equations on arbitrary grids with high order boundary elements, based on discontinuous Galerkin space discretization, is presented. Unstructured grids with both triangular and quadrilateral elements are utilized, which contain high order curved edge elements near wall boundary and low order straight edge elements elsewhere. In this study, the polynomial basis functions up to third order are utilized, and the inter cell fluxes are calculated with HLLC approximate Riemann solver. This paper includes steady state results for a circular cylinder flow in two dimensions, the results are compared with different grids and different boundary discretization orders. The accuracy of this method as well as the needs of high order boundary discretization are demonstrated.

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Author information

Authors and Affiliations

  1. China Academy of Aerospace Aerodynamics, Beijing, 100074, China

    Penghui Su & Liang Zhang

Authors
  1. Penghui Su
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  2. Liang Zhang
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Corresponding author

Correspondence to Penghui Su .

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Editors and Affiliations

  1. Chinese Society of Aeronautics and Astronautics, Beijing, Beijing, China

    Xinguo Zhang

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Su, P., Zhang, L. (2019). A Discontinuous Galerkin Method on Arbitrary Grids with High Order Boundary Discretization. In: Zhang, X. (eds) The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018). APISAT 2018. Lecture Notes in Electrical Engineering, vol 459. Springer, Singapore. https://doi.org/10.1007/978-981-13-3305-7_48

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  • DOI: https://doi.org/10.1007/978-981-13-3305-7_48

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3304-0

  • Online ISBN: 978-981-13-3305-7

  • eBook Packages: EngineeringEngineering (R0)

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