 |
|
|
|
| HAL : hal-00352808, version 2 |
| Fiche détaillée |  Récupérer au format |
|
|
| Versions disponibles : | v1 (14-01-2009) | v2 (12-07-2010) |
|
|
|
|
| Convergence analysis of a penalization method for the three-dimensional motion of a rigid body in an incompressible viscous fluid |
|
|
Claire Bost 1Georges-Henri Cottet 1 |
|
|
| (05/01/2009) |
|
|
|
| We present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface captured by a level set method. The solid velocity is computed by averaging at avery time the flow velocity in the solid phase. This velocity is used to penalize the flow velocity at the fluid-solid interface and to move the interface. Numerical illustrations are provided to illustrate our convergence result. A discussion of our result in the light of existing existence results is also given. [1] Ph. Angot, C.-H. Bruneau and P. Fabrie, A penalization method to take into account obstacles in incompressible viscous flows, Numer. Math. 81: 497--520 (1999) |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire Jean Kuntzmann (LJK) |
|
|
|
CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
|
|
|
|
|
|
|
|
|
| Domaine | : | Mathématiques/Equations aux dérivées partielles Mathématiques/Analyse numérique Sciences de l'ingénieur/Mécanique/Mécanique des fluides Physique/Mécanique/Mécanique des fluides |
|
|
| Fluid-structure coupling – Penalization – Level set |
|
|
|
| Liste des fichiers attachés à ce document : | |||||
|
|||||
|
|
|
| hal-00352808, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00352808 | |
| oai:hal.archives-ouvertes.fr:hal-00352808 | |
| Contributeur : Emmanuel Maitre | |
| Soumis le : Lundi 12 Juillet 2010, 14:23:04 | |
| Dernière modification le : Lundi 12 Juillet 2010, 16:55:20 | |
