Modeling and simulation of fingering pattern formation in a combustion model
| hal.structure.identifier | Xiamen University | |
| dc.contributor.author | HU, Lina | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRAUNER, Claude-Michel | |
| hal.structure.identifier | Department of mathematics Purdue University | |
| dc.contributor.author | SHEN, Jie | |
| hal.structure.identifier | School of Mathematical Sciences [Tel Aviv] [TAU] | |
| dc.contributor.author | SIVASHINSKY, Gregory I. | |
| dc.date.accessioned | 2024-04-04T03:21:18Z | |
| dc.date.available | 2024-04-04T03:21:18Z | |
| dc.date.created | 2013-12-23 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0218-2025 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194646 | |
| dc.description.abstractEn | We consider a model of gas-solid combustion with free interface proposed by L. Kagan and G.I. Sivashinsky. Our approach is twofold: (I) we eliminate the front and get to a fully nonlinear system with boundary conditions; (II) we use a fourth-order pseudo-differential equation for the front to achieve asymptotic regimes in rescaled variables. In both cases, we implement a numerical algorithm based on spectral method and represent numerically the evolution of the char. Fingering pattern formation occurs when the planar front is unstable. A series of simulations are presented to demonstrate the evolution of sparse fingers (I) and chaotic fingering (II). | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.subject.en | Spectral method | |
| dc.subject.en | Pattern formation | |
| dc.subject.en | Gas-solid combustion | |
| dc.subject.en | Smouldering | |
| dc.subject.en | Asymptotics | |
| dc.subject.en | Free interface | |
| dc.subject.en | Fingering | |
| dc.title.en | Modeling and simulation of fingering pattern formation in a combustion model | |
| dc.type | Article de revue | |
| dc.subject.hal | Sciences de l'Homme et Société | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Science non linéaire [physics] | |
| bordeaux.journal | Mathematical Models and Methods in Applied Sciences | |
| bordeaux.page | 36 | |
| bordeaux.volume | 25 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00922315 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00922315v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Models%20and%20Methods%20in%20Applied%20Sciences&rft.date=2015&rft.volume=25&rft.issue=4&rft.spage=36&rft.epage=36&rft.eissn=0218-2025&rft.issn=0218-2025&rft.au=HU,%20Lina&BRAUNER,%20Claude-Michel&SHEN,%20Jie&SIVASHINSKY,%20Gregory%20I.&rft.genre=article |
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