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arXiv · 2503.23237

Entropy stable shock capturing for high-order DGSEM on moving meshes

Anna Schwarz·Jens Keim·Christian Rohde·Andrea Beck
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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.

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Anna Schwarz, Jens Keim, Christian Rohde, Andrea Beck. 2025-03-29. Entropy stable shock capturing for high-order DGSEM on moving meshes. https://arxiv.org/abs/2503.23237

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