Aerospace (Oct 2021)

A Hybridized Discontinuous Galerkin Solver for High-Speed Compressible Flow

  • Georg May,
  • Koen Devesse,
  • Ajay Rangarajan,
  • Thierry Magin

DOI
https://doi.org/10.3390/aerospace8110322
Journal volume & issue
Vol. 8, no. 11
p. 322

Abstract

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We present a high-order consistent compressible flow solver, based on a hybridized discontinuous Galerkin (HDG) discretization, for applications covering subsonic to hypersonic flow. In the context of high-order discretization, this broad range of applications presents unique difficulty, especially at the high-Mach number end. For instance, if a high-order discretization is to efficiently resolve shock and shear layers, it is imperative to use adaptive methods. Furthermore, high-Enthalpy flow requires non-trivial physical modeling. The aim of the present paper is to present the key enabling technologies. We discuss efficient discretization methods, including anisotropic metric-based adaptation, as well as the implementation of flexible modeling using object-oriented programming and algorithmic differentiation. We present initial verification and validation test cases focusing on external aerodynamics.

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