Subcell limiting strategies for discontinuous Galerkin spectral element methods
نویسندگان
چکیده
We present a general family of subcell limiting strategies to construct robust high-order accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is compatible low order finite volume (FV) type discretizations that allow for convex blending with the variant goal guaranteeing additional properties, such as bounds on physical quantities and/or guaranteed entropy dissipation. For an implementation this strategy, four ingredients are identified may be combined in flexible manner: (i) DG method Legendre–Gauss–Lobatto nodes, (ii) FV scheme, (iii) combination two schemes, which can element-wise or subcell-wise, and (iv) compute factors, either based heuristic troubled-cell indicators, using ideas from flux-corrected transport methods. By carefully designing metric terms method, resulting methods used unstructured curvilinear meshes, locally conservative, handle strong shocks efficiently while directly density, pressure entropy. further show it possible choose recover existing provably dissipative shock-capturing approach sparse invariant domain preserving approach. test versatility presented mix match solve challenging simulation setups, KPP problem (a hyperbolic conservation law non-convex flux function), turbulent hypersonic Euler simulations, MHD problems featuring turbulence.
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ژورنال
عنوان ژورنال: Computers & Fluids
سال: 2022
ISSN: ['0045-7930', '1879-0747']
DOI: https://doi.org/10.1016/j.compfluid.2022.105627