Arbitrary Lagrangian-Eulerian approach in reduced order modeling of a flow with a moving boundary

Abstract

Flow-induced de§ections of aircraft structures result in oscillations that might turn into such a dangerous phenomena like §utter or bueting. In this paper the design of an aeroelastic system consisting of Reduced Order Model (ROM) of the §ow with a moving boundary is presented. The model is based on Galerkin projection of governing equation onto space spanned by modes obtained from high-|delity computations. The motion of the boundary and mesh is de|ned in Arbitrary Lagrangian€ Eulerian (ALE) approach and results in additional convective term in Galerkinsystem. Thedevelopedsystemisdemonstratedontheexample of a §ow around an oscillating wing.