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We develop a combined field formulation for the fluid structure (FS) interaction problem. The unknowns are (u;p;v), being the fluid velocity, fluid pressure and solid velocity. This combined field formulation uses Arbitrary Lagrangian…

Numerical Analysis · Mathematics 2014-01-03 Jie Liu

We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic membrane on the ``free" upper boundary of the cavity. These…

Analysis of PDEs · Mathematics 2025-07-04 Pelin G. Geredeli , Quyuan Lin , Dylan Mcknight , Mohammad Mahabubur Rahman

We propose a monolithic Eulerian variational formulation in non-classical sense of continuum description for the analysis of micro-viscosity parameters at micro-structural level. In this respect, Cosesrat fluid-structure interaction CFSI…

Numerical Analysis · Mathematics 2022-03-31 Nazim Hussain , Muhammad Sabeel Khan , Lisheng Liu

An important ingredient of any moving-mesh method for fluid-structure interaction (FSI) problems is the mesh deformation technique (MDT) used to adapt the computational mesh in the moving fluid domain. An ideal technique is computationally…

Computational Engineering, Finance, and Science · Computer Science 2020-06-26 Alexander Shamanskiy , Bernd Simeon

We present a hybrid Eulerian-Lagrangian method for the direct simulation of three-dimensional, heterogeneous structures made of soft fibers and immersed in incompressible viscous fluids. Fiber-based organization of matter is pervasive in…

Computational Physics · Physics 2024-01-19 Arman Tekinalp , Yashraj Bhosale , Songyuan Cui , Fan Kiat Chan , Mattia Gazzola

The application of modern topology optimization techniques to single physics systems has seen great advances in the last three decades. However, the application of these tools to sophisticated multiphysics systems such as fluid-structure…

Numerical Analysis · Mathematics 2023-08-11 Mohamed Abdelhamid , Aleksander Czekanski

We propose an explicit partitioned (loosely coupled) scheme for fluid structure interaction (FSI) problems, specifically designed to achieve high computational efficiency in modern engineering simulations. The FSI problem under…

Numerical Analysis · Mathematics 2025-10-16 Shihan Guo , Ping Lin , Yifan Wang , Xiaohe Yue , Haibiao Zheng

We investigate the dynamics of elastic microstructures within a fluid that are subjected to thermal fluctuations. We perform analysis to obtain systematically simplified descriptions of the mechanics in the limiting regimes when (i) the…

Soft Condensed Matter · Physics 2023-10-24 Gil Tabak , Paul J. Atzberger

Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

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

In this paper, we present a novel interface-driven adaptive variational procedure using a fully Eulerian description of fluid-structure interaction. The proposed fully-Eulerian procedure involves a fixed background unstructured mesh on…

Computational Physics · Physics 2022-02-08 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

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

An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit…

Numerical Analysis · Mathematics 2022-01-11 Filip Ivančić , Maxim Solovchuk

In this paper, a fluid-structure interaction (FSI) framework based on the smoothed particle hydrodynamics (SPH) method is employed to investigate the forces and deformations experienced by LNG tanks during liquid sloshing. As a Lagrangian…

Fluid Dynamics · Physics 2024-09-25 Chenxi Zhao , Yan Wu , Yongchuan Yu , Oskar J. Haidn , Xiangyu Hu

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 studied numerically the dynamics of colliding rigid bodies in a Newtonian fluid. The finite element method is used to solve the fluid-body interaction and the fluid motion is described in the Arbitrary-Lagrangian-Eulerian framework. To…

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers, the actomyosin cortex, or epithelial cell sheets. These interfaces exhibit a complex interplay between elasticity, low Reynolds number…

Fluid Dynamics · Physics 2019-06-12 Alejandro Torres-Sánchez , Daniel Millán , Marino Arroyo

We develop a one-dimensional model for the unsteady fluid--structure interaction (FSI) between a soft-walled microchannel and viscous fluid flow within it. A beam equation, which accounts for both transverse bending rigidity and nonlinear…

Fluid Dynamics · Physics 2020-06-18 Tanmay C. Inamdar , Xiaojia Wang , Ivan C. Christov

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…