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Fluid-structure interaction approximation with embedded solid-shell finite elements using discontinuous shape functions

delete2025-07-01
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PRE
AI
A
A. Aguirre
R
Rubén Zorrilla
J
Joan Baiges *
R
Ramón Codina
DOI:10.1016/j.apm.2025.115994delete
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Abstract

Abstract

En 中文
This work introduces a numerical framework for addressing Fluid-Structure Interaction problems involving thin structures subject to finite strain deformations. The proposed approach utilizes an embedded mesh method to establish a coupling interface between the fluid and structural domains. The novelty of the work is the incorporation of a recently developed locking-free stabilized formulation of solid-shell elements to handle the structural domain. The framework employs established techniques to handle pressure jumps in the fluid domain across the embedding interface and enforce boundary conditions, such as discontinuous shape functions for the pressure unknowns designed to segregate nodal contributions of the cut elements, and Nitsche's method for the weak imposition of transmission conditions in the fluid. The present approach is validated through a series of benchmark cases in both 2D and 3D environments, progressively increasing in complexity. The results demonstrate good agreement with existing literature, establishing the presented framework as a viable method for addressing Fluid-Structure Interaction problems involving thin structures subject to large strains.
Keywords:
Fluid-structure interaction
Embedded mesh
Cut-FEM
Solid-shell
Stabilization

Journal

Applied Mathematical Modelling cover
Applied Mathematical Modelling
IF:
5.1
Papers:
1.1K
Citations:
2.8W

Organization

U
Univ Politecn Cataluna
Scholars:
341
Papers: 195
Citations: 93