Combination of the immersed boundary method with compact schemes for DNS of flows in complex geometry

Philippe Parnaudeau (1, 2) , Eric Lamballais (3) , Dominique Heitz (4, 2) , Jorge Silvestrini (5)

1 UR TERE - Technologie des équipements agroalimentaires
2 UR TERE - Technologie des équipements agroalimentaires
3 LEA - Laboratoire d'Études Aérodynamiques
4 UR OPAALE - Optimisation des procédés en Agriculture, Agroalimentaire et Environnement
5 PUC-RS - Pontifícia Universidade Católica do Rio Grande do Sul [Brasil] = Pontifical Catholic University of Rio Grande do Sul [Brazil] = Université catholique pontificale de Rio Grande do Sul [Brésil]

We present a direct forcing method better suited for the use of compact finite difference schemes in Direct Numerical Simulation. The new forcing creates inside the body an artificial flow preserving the no-slip condition at the surface but reducing the step-like change of the velocity derivatives across the immersed boundary. This modification is shown to improve results both qualitatively and quantitatively for conventional and complex flow geometries.

Mots clés: Direct numerical simulation DNS; Immersed boundary method IBM

Domaines: Mécanique des fluides [physics.class-ph]

Philippe Parnaudeau, Eric Lamballais, Dominique Heitz, Jorge Silvestrini. Combination of the immersed boundary method with compact schemes for DNS of flows in complex geometry. Direct and Large-Eddy Simulation V, 9, Springer Netherlands, pp.581-590, 2003, ERCOFTAC Series, ⟨10.1007/978-1-4020-2313-2_61⟩. ⟨hal-00147120⟩