2-D Fluid-Structure Interaction Problems by an Arbitrary Lagrangian-Eulerian Finite Element Method

Abstract

This paper presents a finite element analysis of a fluid-structure interaction problem by the Arbitrary Lagrangian-Eulerian (ALE) method. For the analysis of the Navier-Stokes equation, a fractional step method is used based the linear interpolation functions for both velocity and pressure. For a numerical example, the present method is applied to the flow analysis around an oscillating rectangular cylinder. The total calculation domain is divided into several sub-domains to improve the computational efficiency. In the inner domain, the mesh moves based on the ALE description. The outmost domain is the Eulerian domain. The intermediate domain is located as a transition.