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相关论文: Fluid-poroviscoelastic structure interaction probl…

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We present a loosely-coupled partitioned scheme for a benchmark problem in fluid-composite structure interaction. The benchmark problem proposed here consists of an incompressible, viscous fluid interacting with a composite structure that…

数值分析 · 数学 2015-06-18 Martina Bukac , Suncica Canic , Boris Muha

We develop a computational model to study the interaction of a fluid with a poroelastic material. The coupling of Stokes and Biot equations represents a prototype problem for these phenomena, which feature multiple facets. On one hand it…

数值分析 · 数学 2023-07-19 Martina Bukac , Ivan Yotov , Rana Zakerzadeh , Paolo Zunino

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,…

数值分析 · 数学 2015-06-05 Martina Bukac , Suncica Canic , Roland Glowinski , Josip Tambaca , Annalisa Quaini

In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to the domain boundary. The model is based on…

计算物理 · 物理学 2023-05-03 Dominic Mokbel , Helmut Abels , Sebastian Aland

Multilayered poroelastic structures are found in many biological tissues such as cartilage and the cornea, and play a key role in the design of bioartificial organs and other bioengineering applications. Motivated by these applications, we…

数值分析 · 数学 2025-07-15 Andrew Scharf , Martina Bukač , Sunčica Čanić

We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

偏微分方程分析 · 数学 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

In many occurrences of fluid-structure interaction time-periodic motions are observed. We consider the interaction between a fluid driven by the three dimensional Navier-Stokes equation and a two dimensional linearized elastic Koiter shell…

偏微分方程分析 · 数学 2024-01-31 Claudiu Mîndrilă , Sebastian Schwarzacher

We study a new fully averaged poroelastic Kirchhoff plate model coupled with the flow of an incompressible, viscous fluid governed by the time-dependent Stokes equations. The fully averaged formulation offers several advantages over the…

偏微分方程分析 · 数学 2026-05-20 Felix Brandt , Sunčica Čanić , Andrew Scharf , Josip Tambača

We study a fluid-structure interaction problem between a viscous incompressible fluid and an elastic beam with fixed endpoints in a static setting. The 3D fluid domain is bounded, nonsmooth and non simply connected, the fluid is modeled by…

偏微分方程分析 · 数学 2026-01-30 Vincenzo Bianca , Edoardo Bocchi , Filippo Gazzola

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

In this paper, we prove the existence and a partial regularity of a weak solution to the system governing the interaction between a rigid body and a viscous incompressible Newtonian fluid. The evolution of the system body-fluid is studied…

数学物理 · 物理学 2026-03-04 Paolo Maremonti , Filippo Palma

In this paper we introduce a constructive approach to study well-posedness of solutions to stochastic fluid-structure interaction with stochastic noise. We focus on a benchmark problem in stochastic fluid-structure interaction, and prove…

偏微分方程分析 · 数学 2022-03-31 Jeffrey Kuan , Sunčica Čanić

In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills a two-dimensional rectangular domain with periodic boundary…

偏微分方程分析 · 数学 2023-07-07 Ondřej Kreml , Václav Mácha , Šárka Nečasová , Srđan Trifunović

We consider quasi-static poroelastic systems with incompressible constituents. The nonlinear permeability is taken to be dependent on solid dilation, and physical types of boundary conditions (Dirichlet, Neumann, and mixed) for the fluid…

偏微分方程分析 · 数学 2022-02-23 Lorena Bociu , Boris Muha , Justin T. Webster

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 consider an viscous, incompressible Newtonian fluid flowing through a thin elastic structure. The motion of the structure is described by the equations of a linearised Koiter shell, whose motion is restricted to transverse displacements.…

偏微分方程分析 · 数学 2018-07-20 Hannes Eberlein , Michael Ruzicka

We study the existence of weak martingale solutions to a stochastic moving boundary problem arising from the interaction between an isentropic compressible fluid and a viscoelastic structure. In the model, we consider a three-dimensional…

偏微分方程分析 · 数学 2025-05-22 Jeffrey Kuan , Krutika Tawri

In this paper we consider the flow of two incompressible, viscous and immiscible fluids in a bounded domain, with different densities and viscosities. This model consists of a coupled system of Navier-Stokes and Mullins-Sekerka type parts,…

偏微分方程分析 · 数学 2025-05-13 Helmut Abels , Andrea Poiatti

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

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…

数值分析 · 数学 2025-10-16 Shihan Guo , Ping Lin , Yifan Wang , Xiaohe Yue , Haibiao Zheng