4.7 Article

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

期刊

JOURNAL OF COMPUTATIONAL PHYSICS
卷 460, 期 -, 页码 -

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2022.111171

关键词

Edge-based smoothed finite element method; Gradient smoothing; Smoothed weak-form integral; Integration point; Navier-Stokes; Fluid-structure interaction

资金

  1. Natural Science Foundation of Shanghai [19ZR1437200]

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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.
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.

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