An almost fail-safe a-posteriori limited high-order CAT scheme
| hal.structure.identifier | Università degli studi di Catania = University of Catania [Unict] | |
| dc.contributor.author | MACCA, E. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LOUBÈRE, Raphaël | |
| hal.structure.identifier | Universidad de Málaga [Málaga] = University of Málaga [Málaga] | |
| dc.contributor.author | PARES, C. | |
| hal.structure.identifier | Università degli studi di Catania = University of Catania [Unict] | |
| dc.contributor.author | RUSSO, G. | |
| dc.date.accessioned | 2024-04-04T02:32:46Z | |
| dc.date.available | 2024-04-04T02:32:46Z | |
| dc.date.created | 2023 | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190412 | |
| dc.description.abstractEn | In this paper we blend the high order Compact Approximate Taylor (CAT) numerical schemes with an a-posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws in 2D. The resulting scheme presents high accuracy on smooth solutions, essentially non-oscillatory behavior on irregular ones, and, almost fail-safe property concerning positivity issues. The numerical results on a set of sanity test cases and demanding ones are presented assessing the appropriate behavior of the CAT-MOOD scheme. | |
| dc.language.iso | en | |
| dc.subject.en | Numerical Analysis (math.NA) | |
| dc.subject.en | FOS: Mathematics | |
| dc.title.en | An almost fail-safe a-posteriori limited high-order CAT scheme | |
| dc.type | Document de travail - Pré-publication | |
| dc.identifier.doi | 10.48550/arXiv.2306.14645 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.identifier.arxiv | 2306.14645 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04270979 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04270979v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023&rft.au=MACCA,%20E.&LOUB%C3%88RE,%20Rapha%C3%ABl&PARES,%20C.&RUSSO,%20G.&rft.genre=preprint |
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