Finite Element Analysis of Fluid Structure Interaction in Fully Eulerian Coordinates

Fluid-Structure Interaction (FSI) analysis has attracted great attention because of its unpredictability and numerous applications. The analysis, however, is a bit complicated and requires the determination of the correct framework modeling and material models. In this paper, we compare the implementation of the Fully Eulerian framework with the well-known Arbitrary Lagrangian-Eulerian (ALE) framework. The mesh for the ALE framework continues to experience Lagrangian formulation mesh distortion problems. For large deformation, severe mesh distortion can negatively impact the accuracy of the FSI formulation. The Fully Eulerian framework provides a solution to this problem by utilizing a fixed mesh and allowing the continuum to move relative to the mesh. This coordinate system eliminates the problem of highly distorted meshes. These frameworks will be tested using two different material models, namely, Neo Hookean (NH) and Saint Venant Kirchhoff. A new material model is introduced, which combines the best attributes of the Fully Eulerian coordinate and the NH material model. Based on the simulation of benchmark test cases, the Fully Eulerian framework can accurately model both NH and STVK models in comparison to the ALE based framework.