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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

For slowly rotating fluids, we establish the existence of a critical point similar to the one found for non-rotating systems. As the fluid approaches the critical point, the effective inertial mass of any fluid element decreases, vanishing…

广义相对论与量子宇宙学 · 物理学 2009-10-31 L. Herrera , A. Di Prisco , J. Martinez

In this paper we introduce a numerical scheme for fluid-structure interaction problems in two or three space dimensions: A flexible elastic plate is interacting with a viscous, compressible barotropic fluid. Hence the physical domain of…

数值分析 · 数学 2020-03-10 Sebastian Schwarzacher , Bangwei She

A rigid object moving in a viscous fluid and in close proximity with an elastic wall experiences self-generated elastohydrodynamic interactions. This has been the subject of an intense research activity, with a recent and growing attention…

软凝聚态物质 · 物理学 2023-07-04 Aditya Jha , Yacine Amarouchene , Thomas Salez

A fluid mechanics problem is solved which technological prototype is a fluid acoustic contact that is an inherent element of ultrasonic non-destructive testing procedures. It is well known that the acoustic contact established with an…

流体动力学 · 物理学 2026-03-19 Denis S. Goldobin , Yuriy L. Raikher

The interaction of bodies in a fluid, mediated by hydrodynamic fluctuations and proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii, is calculated exactly for parallel infinite planes and is shown to be attractive. The second mechanism of…

软凝聚态物质 · 物理学 2007-05-23 B. I. Ivlev

We consider the evolution of a small rigid body in an incompressible viscous fluid filling the whole space. The motion of the fluid is modelled by the Navier-Stokes equations, whereas the motion of the rigid body is described by the…

偏微分方程分析 · 数学 2021-03-10 Jiao He , Dragos Iftimie

The understanding of the spreading of liquids on solid surfaces is an important challenge for contemporary physics. Today, the motion of the contact line formed at the intersection of two immiscible fluids and a solid is still subject to…

经典物理 · 物理学 2009-11-13 Henri Gouin

The motion of a thin elastic plate interacting with a viscous fluid is investigated. A periodic force acting on the plate is considered, which in a setting without damping could lead to a resonant response. The interaction with the viscous…

偏微分方程分析 · 数学 2021-03-02 Aday Celik , Mads Kyed

We present the implementation of a solution scheme for fluid-structure interaction problems via the finite element software library deal.II. The solution scheme is an immersed finite element method in which two independent discretizations…

数值分析 · 数学 2012-09-14 Luca Heltai , Saswati Roy , Francesco Costanzo

The interaction of flexible polymers with fluid flows leads to a number of intriguing phenomena observed in laboratory experiments, namely drag reduction, elastic turbulence and heat transport modification in natural convection, and is one…

流体动力学 · 物理学 2018-10-29 Roberto Benzi , Emily S. C. Ching

We consider the motion of several solids in a bounded cavity filled with a perfect incompressible fluid, in two dimensions. The solids move according to Newton's law, under the influence of the fluid's pressure, and the fluid dynamics is…

偏微分方程分析 · 数学 2019-10-09 Olivier Glass , Franck Sueur

In this paper, we consider numerical solutions of a time domain acoustic-elastic wave interaction problem which occurs between a bounded penetrable elastic body and a compressible inviscid fluid. It is also called the fluid-solid…

数值分析 · 数学 2019-03-20 Yingda Cheng , Jing Huang , Xiaozhou Li , Liwei Xu

We consider the problem of motion of a rigid body about a fixed point under the action of an axisymmetric combination of potential and gyroscopic forces. We introduce a new integrable case, valid on zero level of the cyclic integral, that…

可精确求解与可积系统 · 物理学 2015-06-15 Hamad M. Yehia , Adel A. Elmandouh

We study the non equilibrium statistical properties of a one dimensional hard-rod fluid undergoing collisions and subject to a spatially non uniform Gaussian heat-bath and periodic potential. The system is able to sustain finite currents…

统计力学 · 物理学 2012-05-25 Fabio Cecconi , Giulio Costantini , Umberto Marini Bettolo Marconi

We consider the non-isothermal flow of a compressible fluid through pipes. Starting from the full set of Euler equations, we propose a variational characterization of solutions that encodes the conservation of mass, energy, and entropy in a…

数值分析 · 数学 2016-11-11 Herbert Egger

The effective interaction between two probe particles in a one-dimensional driven system is studied. The analysis is carried out using an asymmetric simple exclusion process with nearest-neighbor interactions. It is found that the driven…

统计力学 · 物理学 2009-11-10 E. Levine , D. Mukamel , G. M. Schutz

We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

偏微分方程分析 · 数学 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

The direct-forcing immersed boundary method (DF-IBM) algorithm previously developed by the authors is extended by coupling the Navier-Stokes equations with the Newton-Euler equations for rigid body dynamics within the DF-IBM framework. This…

流体动力学 · 物理学 2026-04-28 E. Farah , A. Ouahsine , P. G. Verdin , B. Kaoui

We consider a sequence of approximate solutions to the compressible Euler system admitting uniform energy bounds and/or satisfying the relevant field equations modulo an error vanishing in the asymptotic limit. We show that such a sequence…

偏微分方程分析 · 数学 2020-01-03 Eduard Feireisl , Martina Hofmanová