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The moving contact line paradox discussed in the famous paper by Huh and Scriven has lead to an extensive scientific discussion about singularities in continuum mechanical models of dynamic wetting in the framework of the two-phase…

流体动力学 · 物理学 2020-07-30 Mathis Fricke , Dieter Bothe

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

流体动力学 · 物理学 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

Finite element methods based on cut-cells are becoming increasingly popular because of their advantages over formulations based on body-fitted meshes for problems with moving interfaces. In such methods, the cells (or elements) which are…

计算工程、金融与科学 · 计算机科学 2022-07-18 Chennakesava Kadapa , Xinyu Wang , Yue Mei

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…

动力系统 · 数学 2024-01-05 Wang Xiao , Ting Gao , Kai Liu , Jinqiao Duan , Meng Zhao

We investigate a time-periodic fully three-dimensional fluid-structure interaction system in which the Navier-Stokes equations for an incompressible viscous fluid are coupled with a multilayered elastic structure composed of a damped thin…

偏微分方程分析 · 数学 2026-03-24 Felix Brandt , Claudiu Mîndrilă , Arnab Roy

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high…

软凝聚态物质 · 物理学 2022-01-13 S. Tschisgale , J. Fröhlich

We recently derived the unified continuum and variational multiscale formulation for fluid-structure interaction (FSI) using the Gibbs free energy. Restricting our attention to vascular FSI, we now reduce this arbitrary Lagrangian-Eulerian…

计算物理 · 物理学 2022-04-06 Ingrid S. Lan , Ju Liu , Weiguang Yang , Alison L. Marsden

In this paper, we propose two monolithic fully discrete finite element methods for fluid-structure interaction (FSI) based on a novel Piola-type Arbitrary Lagrangian-Eulerian (ALE) mapping. For the temporal discretization, we apply the…

数值分析 · 数学 2026-04-09 Shuaijun Liu , Xiaoping Xie

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

数值分析 · 数学 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

We consider a fluid-structure interaction problem with Navier-slip boundary conditions in which the fluid is considered as a non-Newtonian fluid and the structure is described by a nonlinear multi-layered model. The fluid domain is driven…

偏微分方程分析 · 数学 2021-02-02 Wenjun Liu , Yadong Liu , Jun Yu

We study a 3D nonlinear moving boundary fluid-structure interaction problem describing the interaction of the fluid flow with a rigid body. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the…

偏微分方程分析 · 数学 2020-11-25 Boris Muha , Šárka Nečasová , Ana Radošević

We consider a fluid-structure interaction system composed by a three-dimensional viscous incompressible fluid and an elastic plate located on the upper part of the fluid boundary. The fluid motion is governed by the Navier-Stokes system…

偏微分方程分析 · 数学 2022-04-12 Imene Aicha Djebour

We study a nonlinear fluid-structure interaction problem in which the fluid is described by the three-dimensional incompressible Navier-Stokes equations, and the elastic structure is modeled by the nonlinear plate equation which includes a…

偏微分方程分析 · 数学 2019-06-05 Srđan Trifunović , Ya-Guang Wang

Fluid-structure interaction (FSI) simulation of biological systems presents significant computational challenges, particularly for applications involving large structural deformations and contact mechanics, such as heart valve dynamics.…

Finite element methods are used to study non-adhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with load at small loads. The mean pressure in the contact…

材料科学 · 物理学 2009-11-10 S. Hyun , L. Pei , J. -F. Molinari , M. O. Robbins

In immiscible two-phase flows, contact line denotes the intersection of the fluid-fluid interface with the solid wall. When one fluid displaces the other, the contact line moves along the wall. A classical problem in continuum hydrodynamics…

软凝聚态物质 · 物理学 2009-11-11 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

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…

流体动力学 · 物理学 2020-09-14 Andrea La Spina , Martin Kronbichler , Matteo Giacomini , Wolfgang A. Wall , Antonio Huerta

We present a complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including frictionless contact at matrix-fracture interfaces, as well as…

数值分析 · 数学 2024-06-14 Francesco Bonaldi , Jérôme Droniou , Roland Masson

We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free…

偏微分方程分析 · 数学 2026-03-31 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

In this paper we study the dynamics of an incompressible viscous fluid evolving in an open-top container in two dimensions. The fluid mechanics are dictated by the Navier-Stokes equations. The upper boundary of the fluid is free and evolves…

偏微分方程分析 · 数学 2020-10-30 Yan Guo , Ian Tice