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.
@article{arxiv.2503.23237,
title = {Entropy stable shock capturing for high-order DGSEM on moving meshes},
author = {Anna Schwarz and Jens Keim and Christian Rohde and Andrea Beck},
journal= {arXiv preprint arXiv:2503.23237},
year = {2025}
}
Comments
submitted to the proceedings of the 19th International Conference on "Hyperbolic Problems: Theory, Numerics and Applications"