Calcul d'écoulements en domaines déformables : de l'ALE à la transpiration

Flow calculation for things subject to deformations from ALE to transpiration

Université Paris Dauphine et Ecole Polytechnique

Abstract

Efficient formulations in fluid structure interaction are usually based on a purely lagrangian description of the structure coupled to an ALE formulation of the surrounding fluid. The present paper briefly reviews those formulations, describes their basic energy conservation properties, and the difficulties encountered in their numerical implementation. It then explains how an adequate asymptotic expansion can reduce such formulations to simplified models widely used in aeronautics, which combine the fundamental equations of fluid mechanics written in Eulerian coordinates with non standard transpiration interface boundary conditions.