A new k-TMI/ALE fluid-structure formulation to study the low mass ratio dynamics of an elliptical cylinder

Abstract

This paper presents a new monolithic formulation targeted at the simulation of fluid-structure interaction. It combines the dynamic version of the recent k-TMI extension of the Transfinite Mean Value Interpolation (TMI) of Dyken and Floater with the ALE formulation of the Navier-Stokes equations for moving finite element meshes along with the Lagrange multiplier method to accurately predict parietal shear. This new integrated k-TMI/ALE formulation is stable for the extreme case of zero mass ratios.