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Fluid-solid interaction (FSI) problems are fundamental in many scientific and engineering applications, yet effectively capturing the highly nonlinear two-way interactions remains a significant challenge. Most existing deep learning methods…

Machine Learning · Computer Science 2026-03-03 Shilong Tao , Zhe Feng , Shaohan Chen , Weichen Zhang , Zhanxing Zhu , Yunhuai Liu

Venous valves are bicuspidal valves that ensure that blood in veins only flows back to the heart. To prevent retrograde blood flow, the two intraluminal leaflets meet in the center of the vein and occlude the vessel. In fluid-structure…

Numerical Analysis · Mathematics 2018-05-04 Sara Calandrini , Eugenio Aulisa

A novel method for complex fluid-structure interaction (FSI) involving large structural deformation and motion is proposed. The new approach is based on a hybrid fluid formulation that combines the advantages of purely Eulerian (fixed-grid)…

Computational Engineering, Finance, and Science · Computer Science 2018-08-02 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

In this paper, we study a dynamic fluid-structure interaction (FSI) model for an elastic structure that is immersed and spinning in the fluid. We develop a linear constitutive model to describe the motion of a rotational elastic structure…

Numerical Analysis · Mathematics 2016-11-03 Kai Yang , Pengtao Sun , Lu Wang , Jinchao Xu , Lixiang Zhang

We present a finite element-inspired hypergraph neural network framework for predicting flow-induced vibrations in freely oscillating cylinders. The surrogate architecture transforms unstructured computational meshes into node-element…

Fluid Dynamics · Physics 2025-07-04 Shayan Heydari , Rui Gao , Rajeev K Jaiman

Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform a reference configuration. To address this issue, we…

Numerical Analysis · Mathematics 2026-05-01 Jingya Li , Ye Ji , Hugo Verhelst , Henk den Besten , Matthias Möller

We present a rotation equivariant, quasi-monolithic graph neural network framework for the reduced-order modeling of fluid-structure interaction systems. With the aid of an arbitrary Lagrangian-Eulerian formulation, the system states are…

Fluid Dynamics · Physics 2024-10-08 Rui Gao , Rajeev K. Jaiman

We recently derived the unified continuum and variational multiscale formulation for fluid-structure interaction (FSI) using the Gibbs free energy. Restricting our attention to vascular FSI, we now reduce this arbitrary Lagrangian-Eulerian…

Computational Physics · Physics 2022-04-06 Ingrid S. Lan , Ju Liu , Weiguang Yang , Alison L. Marsden

We report a novel physics-informed neural framework for reconstructing unsteady fluid-structure interactions (FSI) from sparse, single-phase observations of the flow. Our approach combines a modal surface model with coordinate neural…

Fluid Dynamics · Physics 2026-04-07 Rui Tang , Ke Zhou , Jifu Tan , Samuel J. Grauer

This paper introduces a sharp-interface approach to simulating fluid-structure interaction involving flexible bodies described by general nonlinear material models and across a broad range of mass density ratios. This new flexible-body…

This paper introduces a sharp interface method to simulate fluid-structure interaction (FSI) involving rigid bodies immersed in viscous incompressible fluids. The capabilities of this methodology are demonstrated for a range of benchmark…

Physics-informed neural networks (PINNs) have emerged as a promising approach for solving complex fluid dynamics problems, yet their application to fluid-structure interaction (FSI) problems with moving boundaries remains largely…

Machine Learning · Computer Science 2025-12-04 Afrah Farea , Saiful Khan , Reza Daryani , Emre Cenk Ersan , Mustafa Serdar Celebi

An arbitrary Lagrangian--Eulerian (ALE) finite element method for arbitrarily curved and deforming two-dimensional materials and interfaces is presented here. An ALE theory is developed by endowing the surface with a mesh whose in-plane…

Computational Physics · Physics 2020-03-24 Amaresh Sahu , Yannick A. D. Omar , Roger A. Sauer , Kranthi K. Mandadapu

Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involve coupled surface reactions, transmembrane transport, and…

Numerical Analysis · Mathematics 2025-07-22 Weidong Shi , Shixin Xu , Zhen Zhang , Quan Zhao

Fluid-Structure Interaction (FSI) can be investigated by means of non-linear Finite Element Models (FEM), suitable to capture large deflections of structural parts interacting with fluids, and Computational Fluid Dynamics (CFD). High…

In this paper, a type of novel projection-based, time-segmented reduced order model (ROM) is proposed for dynamic fluid-structure interaction (FSI) problems based upon the arbitrary Lagrangian--Eulerian (ALE)-finite element method (FEM) in…

Computational Engineering, Finance, and Science · Computer Science 2024-02-16 Qijia Zhai , Shiquan Zhang , Pengtao Sun , Xiaoping Xie

We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement. Arterial walls are modeled by a {linearly viscoelastic,…

Numerical Analysis · Mathematics 2015-06-05 Martina Bukac , Suncica Canic , Roland Glowinski , Josip Tambaca , Annalisa Quaini

This article presents a Galerkin projection-based reduced-order modelling (ROM) approach for segregated fluid-structure interaction (FSI) problems, formulated within an Arbitrary Lagrangian Eulerian (ALE) framework at low Reynolds numbers…

Numerical Analysis · Mathematics 2025-07-24 Valentin Nkana Ngan , Giovanni Stabile , Andrea Mola , Gianluigi Rozza

With recent advances in variable-length structures for use in soft actuation, energy harvesting, energy dissipation and metamaterials, the mathematical modelling and numerical simulation of physical systems with time-varying domains is…

Soft Condensed Matter · Physics 2024-10-31 Panagiotis Koutsogiannakis , Theodosios Papathanasiou , Francesco Dal Corso

We present a novel partitioned iterative formulation for modeling of fluid-structure interaction in two-phase flows. The variational formulation consists of a stable and robust integration of three blocks of differential equations, viz.,…

Fluid Dynamics · Physics 2020-05-06 Vaibhav Joshi , Rajeev K. Jaiman
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