Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials
| hal.structure.identifier | Johannes Gutenberg - Universität Mainz = Johannes Gutenberg University [JGU] | |
| dc.contributor.author | THOMANN, Andrea | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | IOLLO, Angelo | |
| hal.structure.identifier | Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome] [UNIROMA] | |
| dc.contributor.author | PUPPO, Gabriella | |
| dc.date.accessioned | 2024-04-04T02:31:34Z | |
| dc.date.available | 2024-04-04T02:31:34Z | |
| dc.date.issued | 2023-10-05 | |
| dc.identifier.issn | 1064-8275 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190318 | |
| dc.description.abstractEn | We present an implicit relaxation scheme for the simulation of compressible flows in all Mach number regimes based on a Jin–Xin relaxation approach. The main features of the proposed scheme lie in its simplicity and effectiveness. Thanks to the linearity of the flux in the relaxation system, the time semidiscrete scheme can be reformulated in linear decoupled elliptic equations resulting in the same number of unknowns as in the original system. To obtain the correct numerical diffusion in all Mach number regimes, a convex combination of upwind and centered fluxes is applied. The numerical scheme is validated by applying it on a model for nonlinear elasticity. Simulations of gas and fluid flows, as well as deformations of compressible solids are carried out to assess the performance of the numerical scheme in accurately approximating material waves in different Mach regimes. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.subject.en | All-speed scheme | |
| dc.subject.en | relaxation method | |
| dc.subject.en | low Mach number limit | |
| dc.subject.en | Eulerian elasticity | |
| dc.subject.en | linearly implicit higher order schemes | |
| dc.subject.en | All-speed scheme | |
| dc.title.en | Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1137/21M146819X | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Physique [physics] | |
| dc.identifier.arxiv | 2112.14126 | |
| bordeaux.journal | SIAM Journal on Scientific Computing | |
| bordeaux.page | A2632-A2656 | |
| bordeaux.volume | 45 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04375656 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04375656v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Scientific%20Computing&rft.date=2023-10-05&rft.volume=45&rft.issue=5&rft.spage=A2632-A2656&rft.epage=A2632-A2656&rft.eissn=1064-8275&rft.issn=1064-8275&rft.au=THOMANN,%20Andrea&IOLLO,%20Angelo&PUPPO,%20Gabriella&rft.genre=article |
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