ALE finite element method for FSI problems with free surface using mesh re-generation method based on background mesh

Abstract

This paper presents an arbitrary Lagrangian–Eulerian (ALE) finite element method for fluid-structure interaction (FSI) problems with a free-surface using the mesh re-generation method. The mesh re-generation method using the background mesh is introduced to improve the applicability to the complicated FSI problem with large deformed interface. The incompressible Navier–Stokes equation based on ALE description is used as the governing equation of fluid. The stabilization method based on the SUPG/PSPG method is employed. The presented method is applied to several numerical examples to show the validity and efficiency of the method.