Entropy stable shock capturing for high-order DGSEM on moving meshes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908289920401408 |
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| author | Schwarz, Anna Keim, Jens Rohde, Christian Beck, Andrea |
| author_facet | Schwarz, Anna Keim, Jens Rohde, Christian Beck, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropy stable shock capturing for high-order DGSEM on moving meshes Schwarz, Anna Keim, Jens Rohde, Christian Beck, Andrea Numerical Analysis Computational Physics 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. |
| title | Entropy stable shock capturing for high-order DGSEM on moving meshes |
| topic | Numerical Analysis Computational Physics |
| url | https://arxiv.org/abs/2503.23237 |