A Comparative Study Between Cubic and Ellipsoidal Fokker-Planck Kinetic Models
| dc.contributor.author | JUN, Eunji | |
| dc.contributor.author | PFEIFFER, Marcel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MIEUSSENS, Luc | |
| dc.contributor.author | GORJI, M. Hossein | |
| dc.date.accessioned | 2024-04-04T02:55:25Z | |
| dc.date.available | 2024-04-04T02:55:25Z | |
| dc.date.issued | 2019-06 | |
| dc.identifier.issn | 0001-1452 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192364 | |
| dc.description.abstractEn | Motivated by improving the performance of particle based Monte-Carlo simulations in the transitional regime, Fokker-Planck kinetic models have been devised and studied as approximations of the Boltzmann collision operator. By generalizing the linear drift model, the cubic Fokker-Planck (cubic-FP) and ellipsoidal Fokker-Planck (ES-FP) have been proposed, in order to obtain the correct Prandtl number of 2/3 for a dilute monatomic gas. This study provides a close comparison between both models in low Mach and supersonic settings. While direct simulation Monte-Carlo (DSMC) here serves as the benchmark, overall close performance between cubic-FP, ES-FP and DSMC are observed. Furthermore, while the ES-FP out-performes the cubic-FP model in the shock region of the supersonic flow around a cylinder, the latter shows a better accuracy in the near continuum regime. It is argued that the reason behind these discrepancies lies in the entropy law besides the transport properties. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Aeronautics and Astronautics | |
| dc.title.en | A Comparative Study Between Cubic and Ellipsoidal Fokker-Planck Kinetic Models | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2514/1.J057935 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | AIAA Journal | |
| bordeaux.page | 2524-2533 | |
| bordeaux.volume | 57 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02506158 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02506158v1 | |
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