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The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

In this work, we develop a modelling framework for granular flows based on the shallow water moment equations on inclined planes. Under the assumption of a polynomial expansion of the velocity field, the model extends the classical shallow…

Numerical Analysis · Mathematics 2025-12-18 Julio Careaga , Qian Huang , Julian Koellermeier

A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a global minimization problem. While fracture propagation is…

Numerical Analysis · Mathematics 2025-04-11 Daniel Kienle , Marc-Andre Keip

The hydrodynamics of granular gases of viscoelastic particles, whose collision is described by an impact-velocity dependent coefficient of restitution, is developed using a modified Chapman-Enskog approach. We derive the hydrodynamic…

Statistical Mechanics · Physics 2009-11-10 Nikolai Brilliantov , Thorsten Poeschel

Shear flow of dense, non-Brownian suspensions is simulated using the discrete element method, taking particle contact and hydrodynamic lubrication into account. The resulting flow regimes are mapped in the parametric space of solid volume…

Soft Condensed Matter · Physics 2015-01-06 Christopher Ness , Jin Sun

This work utilizes soft-particle discrete element simulations to examine the rheology of steady two-dimensional granular flows with reference to a unidirectional shear flow, which has been extensively employed for validating the local…

Soft Condensed Matter · Physics 2018-06-13 Ashish Bhateja , Devang V. Khakhar

The dynamics of viscous thin-film particle-laden flows down inclined surfaces are commonly modeled with one of two approaches: a diffusive flux model or a suspension balance model. The diffusive flux model assumes that the particles migrate…

To understand the process of pattern formation in a low-density granular flow, we propose a simple particle model. This model considers spherical particles moving over an inclined flat surface based on three forces: gravity as the driving…

Soft Condensed Matter · Physics 2019-04-24 Hirofumi Niiya , Akinori Awazu , Hiraku Nishimori

Flows of hard granular materials depend strongly on the interparticle friction coefficient $\mu_p$ and on the inertial number ${\cal I}$, which characterizes proximity to the jamming transition where flow stops. Guided by numerical…

Soft Condensed Matter · Physics 2016-07-20 E. DeGiuli , J. N. McElwaine , M. Wyart

We present a thermodynamically consistent constitutive model for fluid-saturated sediments, spanning dense to dilute regimes, developed from the basic balance laws for two phase-mixtures. The model can represent various limiting cases, such…

Soft Condensed Matter · Physics 2021-05-18 Aaron S. Baumgarten , Ken Kamrin

It is known from both experiments and molecular dynamics simulations that chemically patterning a solid surface has an effect on the flow of an adjacent liquid. This fact is in stark contrast with predictions of classical fluid mechanics…

Fluid Dynamics · Physics 2012-02-17 J. E. Sprittles , Y. D. Shikhmurzaev

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

Materials Science · Physics 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

A unifying framework to describe dense flows of dry, deformable grains is proposed. Perturbative analysis of a granular temperature equation describing flows with contact stresses, supported by the recovery of the nonlocal granular fluidity…

Soft Condensed Matter · Physics 2026-01-06 Benjamin M. Alessio , Matthew R. Edwards , Ching-Yao Lai

Individual constituent balance equations are often used to derive expressions for species-specific segregation velocities in flows of dense granular mixtures. We propose a semiempirical expression for the interspecies momentum exchange in…

Soft Condensed Matter · Physics 2020-11-19 Yifei Duan , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We propose a simple continuum model to interpret the shearing motion of dense, dry and cohesion-less granular media. Compressibility, dilatancy and Coulomb-like friction are the three basic ingredients. The granular stress is split into a…

Materials Science · Physics 2009-11-10 Christophe Josserand , Pierre-Yves Lagree , Daniel Lhuillier

We theoretically and numerically investigate the steady flow of two-dimensional granular materials in a rotating drum using the discrete element method and a continuum model with the $\mu(I)$-rheology. The velocity fields obtained from both…

Soft Condensed Matter · Physics 2026-02-10 Hiroki Oba , Michio Otsuki

We consider dry granular flow down an inclined chute with a localised contraction theoretically and numerically. The flow regimes are predicted through a novel extended one-dimensional hydraulic theory. A discrete particle method validated…

Geophysics · Physics 2015-04-20 D. R. Tunuguntla , T. Weinhart , A. R. Thornton , O. Bokhove

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

Soft Condensed Matter · Physics 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

We present a multiscale simulation algorithm for amorphous materials, which we illustrate and validate in a canonical case of dense granular flow. Our algorithm is based on the recently proposed Spot Model, where particles in a dense random…

Soft Condensed Matter · Physics 2009-11-11 Chris H. Rycroft , Martin Z. Bazant , Gary S. Grest , James W. Landry

Modelling sediment transport is still a challenging problem and is of major importance for the study of particulate geophysical flows. In this work, the modelling of sediment transport in the collisional regime is investigated with a focus…

Fluid Dynamics · Physics 2021-10-15 Rémi Chassagne , Julien Chauchat , Cyrille Bonamy