On numerical simulation of fluid - structure interaction problems using variational multiscale methods

Abstract

This paper focus on the numerical approximation of a simplified two dimensional aeroelastic problem, where the flexibly supported airfoil with a control section is considered. In this case the coupling of the control section with other mode can cause a decrease of the flutter velocity. The problem is mathematically described using the fully coupled formulation of the incompressible viscous fluid flow over a flexibly structure, whose motion is modeled by system of ordinary differential equations. The incompressible flow is described by the system of Navier–Stokes equations written in the Arbitrary Lagrangian Eulerian form in order to treat the motion of the computational domain. The numerical approximation is treated using the variational multiscale approach using the algebraic subgrid scale model. The construction of the ALE mapping is based on a robust mesh deformation method. The numerical results are presented.