Entropy stable shock capturing for high-order DGSEM on moving meshes
arXiv:2503.23237
Abstract
In this paper, a shock capturing for high-order entropy stable discontinuous Galerkin spectral element methods on moving meshes is proposed using Gauss--Lobatto nodes. The shock capturing is achieved via the convex blending of the high-order scheme with a low-order finite volume subcell operator. The free-stream and convergence properties of the hybrid scheme are demonstrated numerically along with the entropy stability and shock capturing capabilities.
submitted to the proceedings of the 19th International Conference on "Hyperbolic Problems: Theory, Numerics and Applications"