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This paper deals with the interactions of waves governed by a non-linear dispersive Boussinesq type system with the vertical displacement of a cylindrical floating structure in an axisymmetric without swirl situation. The Boussinesq regime…

偏微分方程分析 · 数学 2026-01-07 Geoffrey Beck , Ewan Contentin , Ludovic Martaud

We study the interaction between an incompressible, viscous, Newtonian fluid and a multilayered structure, which consists of a thin elastic layer and a thick poroelastic material. The thin layer is modeled using the linearly elastic Koiter…

数值分析 · 数学 2013-08-22 Martina Bukac , Paolo Zunino , Ivan Yotov

We introduce a two time-scale scheme which allows to extend the method of minimizing movements to hyperbolic problems. This method is used to show the existence of weak solutions to a fluid-structure interaction problem between a nonlinear,…

偏微分方程分析 · 数学 2020-08-12 Barbora Benešová , Malte Kampschulte , Sebastian Schwarzacher

We study the motion of a compressible heat-conducting fluid in three dimensions interacting with a non-linear flexible shell. The fluid is described by the full Navier--Stokes--Fourier system. The shell constitutes an unknown part of the…

偏微分方程分析 · 数学 2021-11-18 Dominic Breit , Sebastian Schwarzacher

The aim of this work is to present a parallel solver for a formulation of fluid-structure interaction (FSI) problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The fluid subproblem,…

数值分析 · 数学 2025-03-28 Daniele Boffi , Fabio Credali , Lucia Gastaldi , Simone Scacchi

Interactions between an evolving solid and inviscid flow can result in substantial computational complexity, particularly in circumstances involving varied boundary conditions between the solid and fluid phases. Examples of such…

流体动力学 · 物理学 2022-09-30 Emma M. Schmidt , J. Matt Quinlan , Brandon Runnels

Mathematical models and numerical simulations are widely used in the field of hemodynamics, representing a valuable resource to better understand physiological and pathological processes. The theory behind the phenomenon is closely related…

流体动力学 · 物理学 2021-06-15 Giulia Bertaglia , Valerio Caleffi , Alessandro Valiani

We address a quasi-stationary fluid-structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the…

偏微分方程分析 · 数学 2023-10-10 Helmut Abels , Yadong Liu

This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling between fluid and the porous medium is described by the…

偏微分方程分析 · 数学 2025-01-17 Tim Binz , Matthias Hieber , Arnab Roy

We prove the existence of time-periodic weak solutions for a fluid-structure interaction system coupling the incompressible Navier-Stokes equations in a three-dimensional moving domain with a nonlinear Koiter plate equation on its upper…

偏微分方程分析 · 数学 2026-05-20 Claudiu Mîndrilă

Strongly coupled immersed boundary (IB) methods solve the nonlinear fluid and structural equations of motion simultaneously for strongly enforcing the no-slip constraint on the body. Handling this constraint requires solving several large…

流体动力学 · 物理学 2021-03-12 Nirmal Jayaprasad Nair , Andres Goza

Soft-walled microchannels arise in many applications, ranging from organ-on-a-chip platforms to soft-robotic actuators. However, despite extensive research on their static and dynamic response, the potential failure of these devices has not…

计算工程、金融与科学 · 计算机科学 2026-03-17 Ziyu Wang , Ivan C. Christov

We address semigroup well-posedness of the fluid-structure interaction of a linearized compressible, viscous fluid and an elastic plate (in the absence of rotational inertia). Unlike existing work in the literature, we linearize the…

偏微分方程分析 · 数学 2017-06-09 George Avalos , Pelin G. Geredeli , Justin T. Webster

We present a theoretical description of the fluid--structure interaction observed within a Starling resistor. The typical setup consists of a pre-stretched finite length thin-walled elastic tube mounted between two rigid tubes. The…

流体动力学 · 物理学 2025-10-28 Daniel J. Netherwood , Robert J. Whittaker

We analyze a system of PDEs governing the interaction between two compressible mutually noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain filled by the fluids. The dynamics of the fluids is modelled by…

偏微分方程分析 · 数学 2023-02-13 Martin Kalousek , Sourav Mitra , Šárka Nečasová

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods.…

流体动力学 · 物理学 2019-02-20 Wei Hu , Guannan Guo , Xiaozhe Hu , Dan Negrut , Zhijie Xu , Wenxiao Pan

We developed a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range of engineering, biological and geophysical applications. The treatment of this problem…

计算工程、金融与科学 · 计算机科学 2021-03-23 Andrei G. Shvarts , Julien Vignollet , Vladislav A. Yastrebov

This paper is concerned with the partitioned iterative formulation to simulate the fluid-structure interaction of a nonlinear multibody system in an incompressible turbulent flow. The proposed formulation relies on a three-dimensional (3D)…

流体动力学 · 物理学 2019-03-05 P S Gurugubelli , R Ghoshal , V Joshi , R K Jaiman

Fluid-structure interaction (FSI) of thin flexible fins coupled with convective heat transfer has applications in energy harvesting and in understanding functioning of several biological systems. We numerically investigate FSI of the thin…

流体动力学 · 物理学 2016-11-17 Rakshitha U. Joshi , Atul K. Soti , Rajneesh Bhardwaj

We study a thermodynamically consistent diffuse-interface model that describes the motion of two macroscopically immiscible, incompressible, and viscous Newtonian fluids with unmatched densities. This model is compatible with continuum…

偏微分方程分析 · 数学 2026-04-30 Mingwen Fei , Xiang Fei , Yadong Liu , Hao Wu