Vortex penalization method for bluff body flows

Federico Gallizio (1) , Chloé Mimeau (2) , Georges-Henri Cottet (2) , Iraj Mortazavi (3, 4)

1 DAUIN - Dipartimento di Automatica e Informatica [Torino]
2 EDP - Equations aux Dérivées Partielles
3 IMB - Institut de Mathématiques de Bordeaux
4 MC2 - Modélisation, contrôle et calcul

In this work a penalization method is discussed in the context of vortex methods for incompressible flows around complex geometries. We in particular illustrate the method in two cases: the flow around a rotating blade for Reynolds Numbers 1000 and 10000 and the flow past a semi-circular body consisting of a porous layer surrounding a rigid body at Reynolds numbers 550 and 3000. In the latter example, the results are interpreted in terms of control strategy.

Mots clés: Bluff body flows; vortex method; penalization; control; drag reduction; porous media

Domaines: Analyse numérique [math.NA]

Federico Gallizio, Chloé Mimeau, Georges-Henri Cottet, Iraj Mortazavi. Vortex penalization method for bluff body flows. 2014. ⟨hal-00936332v1⟩