Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915152407822336 |
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| author | Abgrall, Rémi Liu, Yongle Boscheri, Walter |
| author_facet | Abgrall, Rémi Liu, Yongle Boscheri, Walter |
| contents | We present a novel discretisation strategy, strongly inspired from Roe's Active Flux scheme. It can use polygonal meshes and is provably bound preserving for scalar problems and the Euler equations. Several cases demonstrates the quality of the method, and improvements with respect to previous work of the authors. This paper is a summary of \cite{BPPampa}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes Abgrall, Rémi Liu, Yongle Boscheri, Walter Numerical Analysis 65M06, 65M08, 65M60 We present a novel discretisation strategy, strongly inspired from Roe's Active Flux scheme. It can use polygonal meshes and is provably bound preserving for scalar problems and the Euler equations. Several cases demonstrates the quality of the method, and improvements with respect to previous work of the authors. This paper is a summary of \cite{BPPampa}. |
| title | Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes |
| topic | Numerical Analysis 65M06, 65M08, 65M60 |
| url | https://arxiv.org/abs/2502.10069 |