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A collision of viscoelastic bodies is analysed within a mathematically rigorous approach. We develop a perturbation scheme to solve continuum mechanics equation, which deals simultaneously with strain and strain rate in the bulk of the…

Statistical Mechanics · Physics 2015-05-22 Nikolay V. Brilliantov , Anastasiya V. Pimenova , Denis S. Goldobin

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

Because active particles break time-reversal symmetry, an active fluid can sustain currents even without an external drive. We show that when a passive body is placed in a fluid of pairwise interacting active particles, it generates…

Statistical Mechanics · Physics 2020-08-26 Omer Granek , Yongjoo Baek , Yariv Kafri , Alexandre P. Solon

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

Analysis of PDEs · Mathematics 2019-10-22 Edoardo Bocchi

Here, we consider the elasto-capillary fluid-structure interaction problem studied in Bhopalam, Bueno & Gomez (2022), i.e., three immiscible fluids in contact with an elastic solid. In this article, we show that the solution of this…

Analysis of PDEs · Mathematics 2024-10-10 Sthavishtha R. Bhopalam , Hector Gomez

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field and an interface seeding method is employed to…

Computational Physics · Physics 2022-03-15 Tim Wallis , Philip Barton , Nikolaos Nikiforakis

We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer, coupled to a 3D thick elastic solid. The system is driven…

Analysis of PDEs · Mathematics 2025-01-14 Claudiu Mîndrilă , Arnab Roy

In this work a finite element simulation of the motion of a rigid body in a fluid, with free surface, is described. A completely general referential description (of which both Lagrangian and Eulerian descriptions are special cases) of an…

Fluid Dynamics · Physics 2015-06-26 S. J. Childs , B. D. Reddy

We consider a bounded domain $\Omega\subset\mathbb R^3$ and a rigid body $\mathcal{S}(t)\subset\Omega$ moving inside a viscous compressible Newtonian fluid. We exploit the roughness of the body to show that the solid collides its container…

Analysis of PDEs · Mathematics 2025-01-30 Bum Ja Jin , Šárka Nečasová , Florian Oschmann , Arnab Roy

We study numerically how multiple deformable capsules squeeze into a constriction. This situation is largely encountered in microfluidic chips designed to manipulate living cells, which are soft entities. We use fully three-dimensional…

Soft Condensed Matter · Physics 2021-12-15 Clément Bielinski , Othmane Aouane , Jens Harting , Badr Kaoui

Classical thermodynamics and statistical mechanics describe systems in which nothing interacts with nothing. Even the highly refined theory of simple fluids does not deal very well with electrical interactions, boundary conditions, or…

Other Quantitative Biology · Quantitative Biology 2012-08-31 Bob Eisenberg

We present and analyze a penalization method wich extends the the method of [1] to the case of a rigid body moving freely in an incompressible fluid. The fluid-solid system is viewed as a single variable density flow with an interface…

Analysis of PDEs · Mathematics 2009-01-15 Claire Bost , Georges-Henri Cottet , Emmanuel Maitre

Numerical simulation of moving immersed solid bodies in fluids is now practiced routinely following pioneering work of Peskin and co-workers on immersed boundary method (IBM), Glowinski and co-workers on fictitious domain method (FDM), and…

Numerical Analysis · Mathematics 2024-02-26 Amneet Pal Singh Bhalla , Neelesh A. Patankar

In this paper we consider a coupled system of pdes modelling the interaction between a two--dimensional incompressible viscous fluid and a one--dimensional elastic beam located on the upper part of the fluid domain boundary. We design a…

Analysis of PDEs · Mathematics 2019-12-16 Jean-Jérôme Casanova , Céline Grandmont , Matthieu Hillairet

We consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded domain with an impermeable condition on a part of the…

Analysis of PDEs · Mathematics 2020-04-22 Olivier Glass , József Kolumbán , Franck Sueur

This work describes models and numerical approximations that describe the mechanical behavior of deformable continua with embedded structural members, such as rigid bodies, beams, shells, etc. The continuum formulation extends an idea first…

Numerical Analysis · Mathematics 2025-09-10 David Portillo , Ignacio Romero

To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions…

Soft Condensed Matter · Physics 2017-02-07 Mate Puljiz , Shilin Huang , Günter K. Auernhammer , Andreas M. Menzel

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps