Annales Mathématiques
Blaise Pascal
no. 1
Immersed boundary methods for the numerical simulation of incompressible aerodynamics and fluid-structure interactions
[Méthodes de frontière immergée pour la simulation numérique en aérodynamique incompressible et interactions fluide-structure.]
Nicolas James1 ; Emmanuel Maitre2 ; Iraj Mortazavi3
1 LMA Université de Poitiers UMR CNRS 7348 Téléport 2 - BP 30179 Bd Marie et Pierre Curie 86962 Chasseneuil FRANCE
2 LJK Université de Grenoble UMR CNRS 5224 Tour IRMA, BP 53 51, rue des Mathématiques 38041 Grenoble Cedex 9 FRANCE
3 IMB Université de Bordeaux UMR CNRS 5251 MC 2 INRIA Bordeaux Sud-Ouest 351, cours de la libération 33405 Talence FRANCE
Annales mathématiques Blaise Pascal, Tome 20 (2013) no. 1, pp. 139-173.

Dans ce travail, trois méthodes de frontière immergée sont décrites et validées pour la simulation numérique en aérodynamique incompressible et interactions fluide-structure. Ces trois approches sont : une méthode Cut Cell, une méthode Vortex-Penalisation et une méthode de forçage. Les deux premières techniques sont validées pour l’écoulement autour d’un obstacle cylindrique. La dernière est utilisée pour prédire les déformations d’une membrane élastique immergée dans un fluide. Ce papier confirme la capacité de cette famille de schémas numériques à simuler les écoulements incompressibles de manière précise et robuste.

In this work three branches of Immersed Boundary Methods (IBM) are described and validated for incompressible aerodynamics and fluid-structure interactions. These three approaches are: Cut Cell method, Vortex-Penalization method and Forcing method. The first two techniques are validated for external bluff-body flow around a circular obstacle. The last one is used to predict the deformations of an elastic membrane immersed in a fluid. The paper confirms the ability of this family of numerical schemes for accurate and robust simulation of incompressible flows.

DOI : 10.5802/ambp.324
Classification : 74F10, 65M06, 76D05
Mots clés : Immersed boundary method, Momentum forcing method, Vortex penalization method, Cut-cell method, Incompressible viscous flows, Complex geometry
Nicolas James 1 ; Emmanuel Maitre 2 ; Iraj Mortazavi 3

1 LMA Université de Poitiers UMR CNRS 7348 Téléport 2 - BP 30179 Bd Marie et Pierre Curie 86962 Chasseneuil FRANCE
2 LJK Université de Grenoble UMR CNRS 5224 Tour IRMA, BP 53 51, rue des Mathématiques 38041 Grenoble Cedex 9 FRANCE
3 IMB Université de Bordeaux UMR CNRS 5251 MC 2 INRIA Bordeaux Sud-Ouest 351, cours de la libération 33405 Talence FRANCE 
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Nicolas James; Emmanuel Maitre; Iraj Mortazavi. Immersed boundary methods for the numerical simulation of incompressible aerodynamics and fluid-structure interactions. Annales mathématiques Blaise Pascal, Tome 20 (2013) no. 1, pp. 139-173. doi : 10.5802/ambp.324. https://ambp.centre-mersenne.org/articles/10.5802/ambp.324/

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