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In recent papers, we have argued that kinetically constrained coarse grained models can be applied to understand dynamic properties of glass forming materials, and we have used this approach in various applications that appear to validate…

Statistical Mechanics · Physics 2009-11-11 David Chandler , Juan P. Garrahan

Computational modelling of diffusion in heterogeneous media is prohibitively expensive for problems with fine-scale heterogeneities. A common strategy for resolving this issue is to decompose the domain into a number of non-overlapping…

Computational Physics · Physics 2021-08-26 Nathan G. March , Elliot J. Carr , Ian W. Turner

In this paper we consider the homogenization problem for a nonlocal equation that involve different smooth kernels. We assume that the spacial domain is divided into a sequence of two subdomains $A_n \cup B_n$ and we have three different…

Analysis of PDEs · Mathematics 2020-05-27 Monia Capanna , Jean C. Nakasato , Marcone C. Pereira , Julio D. Rossi

In this letter, we report results on the effect of temperature variations on a granular assembly through Molecular Dynamic simulations of a 2D granular column. Periodic dilation of the grains are shown to perfectly mimic such thermal…

Soft Condensed Matter · Physics 2015-06-16 Baptiste Percier , Thibaut Divoux , Nicolas Taberlet

We introduce a system of shallow water-type equations to model laboratory experiments of particle-laden flows. We explore homogeneous liquid-solid suspensions of fine, non-cohesive, monodisperse glass beads which propagate as an equivalent…

Fluid Dynamics · Physics 2025-02-11 Andrea Bondesan , Laurence Girolami , François James , Loïc Rousseau

In this paper we present a derivation and multiscale analysis of a mathematical model for plant cell wall biomechanics that takes into account both the microscopic structure of a cell wall coming from the cellulose microfibrils and the…

Analysis of PDEs · Mathematics 2016-01-01 Mariya Ptashnyk , Brian Seguin

The paper addresses the homogenization of a micro-model of poroelasticity coupled with thermal effects for two-constituent media and with imperfect interfacial contact.The homogenized model is obtained by means of the two-scale convergence…

Analysis of PDEs · Mathematics 2021-12-07 Abdelhamid Ainouz

The heat transfer characteristics of thin film flow over a hot sphere resulting from a cold vertical jet of liquid falling onto the surface has been investigated. The underlying physical features have been illustrated by numerical solutions…

Fluid Dynamics · Physics 2014-03-10 Jian-Jun Shu , Graham Wilks

Thermal energy storage using sensible heating of a solid storage medium is a potential low-cost technology for long-duration energy storage. To effectively get heat in and out of the solid material, channels of heat transfer fluid can be…

Applied Physics · Physics 2024-02-13 Shomik Verma , Colin Kelsall , Kyle Buznitsky , Alina LaPotin , Ashwin Sandeep , Asegun Henry

We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types. While one component is completely rigid in the sense…

Analysis of PDEs · Mathematics 2016-04-13 Fabian Christowiak , Carolin Kreisbeck

We revisit the evolution model of grain size distribution in a galaxy for the ultimate purpose of implementing it in hydrodynamical simulations. We simplify the previous model in such a way that some model-dependent assumptions are replaced…

Astrophysics of Galaxies · Physics 2018-10-31 Hiroyuki Hirashita , Shohei Aoyama

It is shown that the equilibrium Generalized Mean Spherical Model of fluid structure may be extended to nonequilibrium states with equation of state information used in equilibrium replaced by an exact condition on the two-body distribution…

Soft Condensed Matter · Physics 2009-10-31 James F. Lutsko

We study the thermodynamics of a small, isolated superconducting grain using a recently developed quantum Monte Carlo method. This method allows us to simulate grains at any finite temperature and with any level spacing in an exact way. We…

Superconductivity · Physics 2009-11-11 K. Van Houcke , S. M. A. Rombouts , L. Pollet

The discrete element method (DEM) coupled with computational fluid dynamics (CFD), has been developed to simulate complex solid-fluid flow systems. Today, DEM is regarded as an established approach, with extensive applications in industrial…

Fluid Dynamics · Physics 2025-10-16 Toshiki Imatani , Mikio Sakai

This work deals with numerical simulation of water freezing and thawing in a complex three-dimensional geometry of a porous medium. The porous structure is represented by a virtual container filled with glass beads. Phase transition…

Computational Physics · Physics 2024-07-23 Pavel Strachota

Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal plate and study how the heat transport might be affected by the polymers. We…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Emily S. C. Ching. , Vivien W. S. Chu

This work presents an efficient numerical method based on spectral expansions for simulation of heat and moisture diffusive transfers through multilayered porous materials. Traditionally, by using the finite-difference approach, the problem…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Denys Dutykh , Nathan Mendes

We propose a minimal model aiming to describe heat transfer between particles (i.e. grains) and gases in a model of flighted rotary kilns. It considers a channel in which a convective gas interacts with a granular suspension and a granular…

Soft Condensed Matter · Physics 2016-12-20 Laurédan Le Guen , Maxime Piton , Quentin Hénaut , Florian Huchet , Patrick Richard

In this paper we study the homogenization effects on the model of elastic plate in the bending regime, under the assumption that the energy density (material) oscillates in the direction of thickness. We study two different cases. First, we…

Analysis of PDEs · Mathematics 2014-10-09 Maroje Marohnic , Igor Velcic

Heated pipe flow is widely used in thermal engineering applications, but the presence of buoyancy force can cause intermittency, or multiple flow states at the same parameter values. Such changes in the flow lead to substantial changes in…

Fluid Dynamics · Physics 2025-01-22 Shijun Chu , Elena Marensi , Ashley P. Willis