Modeling fluid-structure interaction with the edge-based smoothed finite element method

We address in this work the numerical modeling of fluid-structure interaction (FSI) with the edge-based smoothed finite element method (ESFEM). We prove that the smoothed Galerkin weak-form integral of the Navier-Stokes equations is very flexible in the ESFEM. A simple integration scheme is accordingly proposed to facilitate the weak form approximation. The ESFEM is subsequently used for the elastodynamics equation and interface conditions as a matter of course. The FSI system is completely formulated in the edge-based notion and then is iteratively solved in a partitioned way. Numerical results obtained with the ESFEM are convincing in various FSI examples, indicating that the method can be a general solution approach to not only FSI but also many other real world phenomena. (c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This work addresses the numerical modeling of fluid-structure interaction using the edge-based smoothed finite element method (ESFEM). The authors prove the flexibility of the smoothed Galerkin weak-form integral in the ESFEM and propose a simple integration scheme to facilitate the approximation. The ESFEM is applied to elastodynamics equation and interface conditions, and can serve as a general solution approach to various FSI examples and other real world phenomena.