Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations

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A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids (2014, unknown): “Introduction The discontinuous Galerkin (DG) methods [1–26] have recently become popular for the solution of systems of conservation laws.”
Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics (2011, background): “Later, they extended their approach to viscous flows [149] and demonstrated applications to a variety of laminar, aerodynamic flows including shock waves (Hartmann [150]).”
A moving discontinuous Galerkin finite element method for flows with interfaces (2018, background): “4 Example: moving shock In order to illustrate how the MDG-ICE formulation provides the means to detect, via interface condition enforcement, and satisfy, via grid movement, the conservation law and its associated interface condition and, therefore, compute flows with a priori unknown interfaces, we”
deal.II—A general-purpose object-oriented finite element library (2007, unknown): “In a second example (taken from [Hartmann 2006]) we show a supersonic compressible .ow and an adjoint solution related to the pressure induced drag coef.cient, see Figure 7.”