Développement en polynômes de chaos d'un modèle lagrangien d'écoulement autour d'un profilPolynomial chaos expansion of a Lagrangian model for the flow around an airfoil
1. L.M.E.E., université d''Evry, 40, rue du Pelvoux, CE1455, 91020 Evry cedex, France;2. LIMSI–CNRS, UPR 3251, BP 133, 91403 Orsay cedex, France
Abstract:
A polynomial chaos (PC) expansion a the Lagrangian model for the stochastic incompressible inviscid flow around an airfoil is presented. The flow field is modeled using a distribution of lumped vortices on the airfoil surface while the wake is modeled with Lagrangian point vortices. An original technique is proposed for the computation of the PC coefficients of the velocities induced by the vortices. Two computational examples for random airfoil motions are provided to illustrate the capability of the method to deal with complex situations. To cite this article: O. Le Maître, C. R. Mecanique 334 (2006).