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This paper describes a novel partitioned algorithm for fluid-structure interaction (FSI) problems that couples the motion of rigid bodies and incompressible flow. This is the first partitioned algorithm that remains stable and second-order…

Numerical Analysis · Mathematics 2018-08-15 J. W. Banks , W. D. Henshaw , D. W. Schwendeman , Qi Tang

We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer, coupled to a 3D thick elastic solid. The system is driven…

Analysis of PDEs · Mathematics 2025-01-14 Claudiu Mîndrilă , Arnab Roy

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

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

A homogenised model is developed to describe the interaction between aligned strings and an incompressible, viscous, Newtonian fluid. In the case of many strings, the ratio of string separation to domain width gives a small parameter which…

Fluid Dynamics · Physics 2022-02-15 A. Kent , S. L. Waters , J. Oliver , S. J. Chapman

This work describes three diffuse-interface methods for the simulation of immiscible, compressible multiphase fluid flows and elastic-plastic deformation in solids. The first method is the localized-artificial-diffusivity approach of Cook…

Computational Physics · Physics 2021-09-21 Suhas S. Jain , Michael C. Adler , Jacob R. West , Ali Mani , Parviz Moin , Sanjiva K. Lele

In this chapter, we analyze the steady-state microscale fluid--structure interaction (FSI) between a generalized Newtonian fluid and a hyperelastic tube. Physiological flows, especially in hemodynamics, serve as primary examples of such FSI…

Fluid Dynamics · Physics 2019-03-12 Vishal Anand , Ivan C. Christov

We implement full, three-dimensional constrained mixture theory for vascular growth and remodeling into a finite element fluid-structure interaction (FSI) solver. The resulting "fluid-solid-growth" (FSG) solver allows long term,…

Computational Engineering, Finance, and Science · Computer Science 2023-08-11 Erica L. Schwarz , Martin R. Pfaller , Jason M. Szafron , Marcos Latorre , Stephanie E. Lindsey , Christopher K. Breuer , Jay D. Humphrey , Alison L. Marsden

In this paper a new monolithic Eulerian formulation in the framework of non-classical continuum is presented for the analysis of fluid-strucuture interaction problems. In this respect, Cosserat continuum theory taking into account the…

Numerical Analysis · Mathematics 2022-04-08 Nazim Hussain , Muhammad Sabeel Khan , Lisheng Liu

Accurate and efficient simulation of fluid-structure interaction (FSI) problems remains a central challenge in computational physics. High-order discontinuous Galerkin (DG) methods offer low numerical errors and excellent scalability on…

Fluid Dynamics · Physics 2025-12-08 Yingjie Xia , Stefano Colombo , David Huergo , Jiaqing Kou , Yuting Dai , Esteban Ferrer

The problem of multiphase materials (fluid or solid) interacting with the rigid body structure is studied by proposing a novel VMS-FEM (variational multi-scale finite element method) in the Eulerian framework using the fixed mesh. The…

Numerical Analysis · Mathematics 2023-03-21 Tianyu Li

We present a monolithic approach to large-deformation fluid-structure interaction (FSI) problems that allows for choosing fully implicit, single-step and single-stage time integration schemes in the structure and fluid field independently,…

Numerical Analysis · Mathematics 2023-08-25 Matthias Mayr , Thomas Klöppel , Wolfgang A. Wall , Michael W. Gee

We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow…

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

Solving complex fluid-structure interaction (FSI) problems, characterized by nonlinear partial differential equations, is crucial in various scientific and engineering applications. Traditional computational fluid dynamics (CFD) solvers are…

Dynamical Systems · Mathematics 2024-01-05 Wang Xiao , Ting Gao , Kai Liu , Jinqiao Duan , Meng Zhao

In order to solve the fluid-structure interaction problem of Newtonian fluid, a fluid-structure interaction approach is proposed based on Non-ordinary State-based Peridynamics (NOSB-PD) and Updated Lagrangian particle Hydrodynamics (ULPH),…

Fluid Dynamics · Physics 2024-07-29 Zhen Wang , Junsong Xiong , Xiang Liu , Lisheng Liu , Xin Lai

An interface control principle is proposed for unsteady fluid-structure in- teraction (FSI) analyses. This principle introduces a method of explicitly controlling the interface motion in the temporal direction to minimize the residual force…

Fluid Dynamics · Physics 2025-10-21 Chungil Lee , Yoshiaki Abe , Yu Kawano , Tomoki Yamazaki

A scheme for the solution of fluid-structure interaction (FSI) problems with weakly compressible flows is proposed in this work. A novel hybridizable discontinuous Galerkin (HDG) method is derived for the discretization of the fluid…

This work addresses research questions arising from the application of geometrically exact beam theory in the context of fluid-structure interaction (FSI). Geometrically exact beam theory has proven to be a computationally efficient way to…

Computational Engineering, Finance, and Science · Computer Science 2022-07-13 Nora Hagmeyer , Matthias Mayr , Ivo Steinbrecher , Alexander Popp

The conservation laws of continuum mechanic written in an Eulerian frame make no difference between fluids and solids except in the expression of the stress tensors, usually with Newton's hypothesis for the fluids and Helmholtz potentials…

Computational Engineering, Finance, and Science · Computer Science 2017-05-12 Olivier Pironneau
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