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In this paper we study a nonlinear stochastic fluid-structure interaction problem with a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations describing the flow of an incompressible, viscous fluid in a…

偏微分方程分析 · 数学 2024-03-14 Krutika Tawri , Suncica Canic

Three-field Fluid-Structure Interaction (FSI) formulations for fluid and solid are applied and compared to the standard two field-one field formulation for fluid and solid, respectively. Both formulations are applied in a non linear setting…

数值分析 · 数学 2020-10-13 Alexis Tello , Ramon Codina

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

流体动力学 · 物理学 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

We investigate the fluid-poroelastic structure interaction problem in a moving domain, governed by Navier-Stokes-Biot (NSBiot) system. First, we propose a fully parallelizable, loosely coupled scheme to solve the coupled system. At each…

数值分析 · 数学 2024-09-25 Shihan Guo , Yizhong Sun , Yifan Wang , Xiaohe Yue , Haibiao Zheng

AFSI is a novel, open-source fluid-structure interaction (FSI) solver that extends the capabilities of the FEniCS finite element library through an immersed boundary (IB) framework. Designed to simulate large deformations in hyperelastic…

计算物理 · 物理学 2025-09-03 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

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…

偏微分方程分析 · 数学 2025-01-14 Claudiu Mîndrilă , Arnab Roy

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

偏微分方程分析 · 数学 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

A fluid-structure interaction (FSI) problem is solved via a monolithic coupling of the fluid, structure, and geometry subproblems. The iterative GMRES solver is accelerated with the FaCSI block preconditioner. In the FaCSI factorization,…

数值分析 · 数学 2025-12-02 Axel Klawonn , Jascha Knepper , Lea Saßmannshausen

We consider a distributed Lagrange multiplier formulation for fluid-structure interaction problems in the spirit of the fictitious domain approach. This is an unfitted method, which does not require the construction of meshes conforming to…

数值分析 · 数学 2026-02-10 Daniele Boffi , Fabio Credali , Lucia Gastaldi

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…

We propose a two-fold approach to model reduction of fluid-structure interaction. The state equations for the fluid are solved with reduced basis methods. These are model reduction methods for parametric partial differential equations using…

数值分析 · 数学 2010-05-20 Toni Lassila , Gianluigi Rozza

The Dirichlet-Neumann scheme is the most common partitioned algorithm for fluid-structure interaction (FSI) and offers high flexibility concerning the solvers employed for the two subproblems. Nevertheless, it is not without shortcomings:…

计算工程、金融与科学 · 计算机科学 2022-11-15 Thomas Spenke , Michel Make , Norbert Hosters

The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid-Structure Interaction (FSI) problems, namely a monolithic and a partitioned approach. We provide…

数值分析 · 数学 2021-06-22 Monica Nonino , Francesco Ballarin , Gianluigi Rozza

In this paper we construct a novel technique for eliminating and recovering the pressure for a fluid-structure interaction model. This pressure elimination methodology is valid for general bounded Lipschitz domains. The specific…

偏微分方程分析 · 数学 2026-01-27 George Avalos , Yuhao Mu

A mixed continuous / discontinuous Galerkin scheme is introduced for the simulation of fluid-structure interaction problems in an isogeometric analysis framework. The properties of Non-Uniform Rational B-Spline basis functions are leveraged…

偏微分方程分析 · 数学 2026-02-17 Régis Duvigneau

We develop a numerical method for simulating coupled interactions of complex floating structures with large-scale ocean waves and atmospheric turbulence. We employ an efficient large-scale model to develop offshore wind and wave…

流体动力学 · 物理学 2016-05-06 Antoni Calderer , Xin Guo , Lian Shen , Fotis Sotiropoulos

This paper investigates two FEM-BEM coupling formulations for acoustic fluid-structure interaction (FSI) problems, using the Finite Element Method (FEM) to model the structure and the Boundary Element Method (BEM) to represent a linear…

数值分析 · 数学 2025-02-04 Luis Rodríguez-Tembleque , José A. González , Antonio Cerrato

Simulation approaches for fluid-structure-contact interaction, especially if requested to be consistent even down to the real contact scenarios, belong to the most challenging and still unsolved problems in computational mechanics. The main…

计算工程、金融与科学 · 计算机科学 2018-09-12 Christoph Ager , Benedikt Schott , Anh-Tu Vuong , Alexander Popp , Wolfgang A. Wall

Based upon two overlapped, body-unfitted meshes, a type of unified-field monolithic fictitious domain-finite element method (UFMFD-FEM) is developed in this paper for moving interface problems of dynamic fluid-structure interactions (FSI)…

数值分析 · 数学 2024-02-21 Cheng Wang , Pengtao Sun , Yumiao Zhang , Jinchao Xu , Yan Chen , Jiarui Han

We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cylindrical shell supported by a mesh of elastic rods. The…

偏微分方程分析 · 数学 2020-02-17 Sunčica Čanić , Marija Galić , Boris Muha