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A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin-Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) viscosity is investigated in a quasistatic variant. The…

偏微分方程分析 · 数学 2023-02-23 Tomáš Roubíček

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

流体动力学 · 物理学 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

Electromechanics in fluids describes the response of the number density to electric fields, and thus provides a powerful means by which to control the behavior of liquids. While continuum approaches have proven successful in describing…

软凝聚态物质 · 物理学 2025-07-10 Anna T. Bui , Stephen J. Cox

In this paper, we consider a moving rigid solid immersed in a potential fluid. The fluid-solid system fills the whole two dimensional space and the fluid is assumed to be at rest at infinity. Our aim is to study the inverse problem,…

偏微分方程分析 · 数学 2015-05-19 Carlos Conca , Muslim Malik , Alexandre Munnier

We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and the fluid equations are the standard Navier-Stokes system. At…

偏微分方程分析 · 数学 2019-12-06 Matthieu Hillairet , Takéo Takahashi

In this paper we consider the motion of a rigid body in a viscous incompressible fluid when some Navier slip conditions are prescribed on the body's boundary. The whole system "viscous incompressible fluid + rigid body" is assumed to occupy…

偏微分方程分析 · 数学 2024-12-30 Gabriela Planas , Franck Sueur

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations…

计算物理 · 物理学 2015-11-06 Uǧis Lācis , Kunihiko Taira , Shervin Bagheri

We consider the stabilizability of a fluid-structure interaction system where the fluid is viscous and compressible and the structure is a rigid ball. The feedback control of the system acts on the ball and corresponds to a force that would…

偏微分方程分析 · 数学 2019-10-17 Arnab Roy , Takéo Takahashi

We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the…

偏微分方程分析 · 数学 2019-02-19 Yizhao Qin , Pengfei Yao

We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at large distances. The motion of the fluid is modelled by the…

偏微分方程分析 · 数学 2024-06-04 Denis Bonheure , Matthieu Hillairet , Clara Patriarca , Gianmarco Sperone

A new model for the numerical simulation of a rigid body moving in a viscous fluid flow using FEM is presented. One of the most interesting features of this approach is the small computational effort required to solve the motion of the…

流体动力学 · 物理学 2020-12-17 M. I. Herreros , S. Ligüérzana

We report a new theory of dissipative forces acting between colliding viscoelastic bodies. The impact velocity is assumed not to be large, to avoid plastic deformations and fragmentation at the impact. The bodies may be of an arbitrary…

This article investigates the interaction of nematic liquid crystals modeled by a simplified Ericksen-Leslie model with a rigid body. It is shown that this problem is locally strongly well-posed, and that it also admits a unique, global…

偏微分方程分析 · 数学 2024-09-04 Tim Binz , Felix Brandt , Matthias Hieber , Arnab Roy

We present a novel discretization of coupled compressible fluid and thin deformable structures that provides sufficient and necessary leakproofness by preserving the path connectedness of the fluid domain. Our method employs a constrained…

计算物理 · 物理学 2025-07-25 Jonathan Panuelos , Eitan Grinspun , David Levin

In this paper we study the interaction problem between a nonlinear thermoelastic plate and a compressible viscous fluid with the adiabatic constant $\gamma>12/7$. The existence of a weak solution for this problem is obtained by constructing…

偏微分方程分析 · 数学 2020-10-06 Srđan Trifunović , Ya-Guang Wang

Contact of a fluid with a solid or an elastic wall is investigated. The wall exerts molecular forces on the fluid which is locally strongly nonhomogeneous. The problem is approached with a fluid energy of the second gradient form and a wall…

流体动力学 · 物理学 2008-02-15 Henri Gouin , Witold Kosinski

Systems of dense spheres interacting through very short-ranged attraction are known from theory, simulations and colloidal experiments to exhibit dynamical reentrance. The liquid state can thus be fluidized to higher densities than…

统计力学 · 物理学 2020-08-13 Patrick Charbonneau , Joyjit Kundu

This paper presents a combined field and boundary integral equation method for solving the time-dependent scattering problem of a thermoelastic body immersed in a compressible, inviscid and homogeneous fluid. The approach here is a…

Cable subsystems characterized by long, slender, and flexible structural elements are featured in numerous engineering systems. In each of them, interaction between an individual cable and the surrounding fluid is inevitable. Such a…

计算工程、金融与科学 · 计算机科学 2019-11-11 Daniel Z. Huang , Philip Avery , Charbel Farhat

We consider a non-linear system modelling the dynamics of a linearly elastic body immersed in an incompressible viscous fluid, without damping on the elastic part. We prove local existence of strong solutions and global existence and…

偏微分方程分析 · 数学 2025-08-20 Karoline Disser , Michelle Luckas