Central‐upwind schemes on triangular grids for hyperbolic systems of conservation laws

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Entropy viscosity method for nonlinear conservation laws (2011, background): “A true two-dimensional non-oscillatory reconstruction which could be applied to arbitrary unstructured meshes (without any additional post processing) seems to be available only in the piecewise linear case, see [5,18], and extensions to higher degree polynomial reconstructions do not seem to be evi”
Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows (2009, methodology): “Since we are interpolating to a given face only from neighbouring cell values, we apply the KT and KNP methods in their original form for multi-dimensional systems using the so-called ‘dimension-by-dimension’ reconstruction [26, 27] (perhaps better termed as ‘face-by-face’ reconstruction in a polyhe”