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Granular column collapse is a simple but important problem to the granular material community, due to its links to dynamics of natural hazards, such as landslides and pyroclastic flows, and many industrial situations, as well as its…

Soft Condensed Matter · Physics 2025-01-10 Teng Man , Herbert E. Huppert , Sergio Andres Galindo-Torres

The flow of a charged-stabilized suspension through a single constricted channel is studied experimentally by tracking the particles individually. Surprisingly, the behavior is found to be qualitatively similar to that of inertial dry…

Fluid Dynamics · Physics 2018-02-14 Alvaro Marin , Henri Lhuissier , Massimiliano Rossi , Christian J. Kaehler

This paper aims to simulate viscoplastic flow in a shallow-water regime. We specifically use the Bingham model in which the material behaves as a solid if the stress is below a certain threshold, otherwise, it moves as a fluid. The main…

Numerical Analysis · Mathematics 2023-01-27 Felipe Fernández , Sofía López-Ordóñez , Sergio González-Andrade

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

In this paper we formulate and test numerically a fully-coupled discontinuous Galerkin (DG) method for incompressible two-phase flow with discontinuous capillary pressure. The spatial discretization uses the symmetric interior penalty DG…

Fluid Dynamics · Physics 2013-10-01 Peter Bastian

Granular material on an inclined plane will flow like a fluid if the angle $\theta$ the plane makes with the horizontal is large enough. We employ a modification of a hydrodynamic model introduced previously to describe Couette flow…

Statistical Mechanics · Physics 2009-11-07 Lyderic Bocquet , Jalal Errami , Tom. C. Lubensky

Experiments on dry granular matter flowing down an inclined plane are performed in order to study the dynamics of dense pyroclastic flows. The plane is rough, and always wider than the flow, focusing this study on the case of laterally…

Statistical Mechanics · Physics 2007-05-23 Gwenaelle Felix , Nathalie Thomas

After extensive quasi-static shearing, dense dry granular flows attain a steady-state condition of porosity and deviatoric stress, even as particles are continually rearranged. The paper considers two-dimensional flow and derives the…

Soft Condensed Matter · Physics 2018-12-27 Matthew R. Kuhn

The two most commonly used methods to model the behaviour of granular flows are discrete element and continuum mechanics simulations. These approaches concentrate on the deterministic description of particle or bulk material motion. Unlike…

Soft Condensed Matter · Physics 2025-01-15 Benjy Marks , Shivakumar Athani , Itai Einav

Granular column collapses result in an array of flow phenomena and deposition morphologies, the understanding of which brings insights into studying granular flows in both natural and engineering systems. Guided by experiments, we carried…

Soft Condensed Matter · Physics 2021-06-09 Teng Man , Herbert E. Huppert , Ling Li , Sergio Andres Galindo-Torres

We extend the discontinuous Galerkin (DG) framework to the analysis of first-order hyperbolic and advection-dominated problems posed on implicitly defined surfaces. The focus will be on the hyperbolic part, which is discretised using a…

Numerical Analysis · Mathematics 2015-05-27 Andreas Dedner , Pravin Madhavan

Predicting particle segregation has remained challenging due to the lack of a general model for the segregation velocity that is applicable across a range of granular flow geometries. Here, a segregation velocity model for dense granular…

Soft Condensed Matter · Physics 2025-10-22 Yifei Duan , Lu Jing , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We study laminar thin film flows with large distortions in the free surface using the method of averaging across the flow. Two concrete problems are studied: the circular hydraulic jump and the flow down an inclined plane. For the circular…

Fluid Dynamics · Physics 2007-05-23 Shinya Watanabe , Vachtang Putkaradze , Tomas Bohr

Subsurface flows are commonly modeled by advection-diffusion equations. Insufficient measurements or uncertain material procurement may be accounted for by random coefficients. To represent, for example, transitions in heterogeneous media,…

Numerical Analysis · Mathematics 2021-01-25 Andrea Barth , Andreas Stein

Recent experiments on mucociliary clearance, an important defense against airborne pathogens, have raised questions about the topology of two-dimensional (2D) flows. We introduce a framework for studying ensembles of 2D time-invariant flow…

Fluid Dynamics · Physics 2024-12-30 M. Kamb , J. Byrum , G. Huber , G. Le Treut , S. Mehta , B. Veytsman , D. Yllanes

We experimentally investigate how a long granular pile confined in a narrow channel destabilizes when it is inclined above the angle of repose. A uniform flow then develops, which is localized at the free surface. It first accelerates…

Soft Condensed Matter · Physics 2008-02-06 Pierre Jop , Yoël Forterre , Olivier Pouliquen

Granular surface flows are common in industrial practice and natural systems, however, theoretical description of such flows is at present incomplete. Two prototype systems involving surface flow are compared: heap formation by pouring at a…

Soft Condensed Matter · Physics 2007-05-23 D. V. Khakhar , Ashish V. Orpe , J. M. Ottino

This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

Soft Condensed Matter · Physics 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

A 2-D version of the asymmetric exclusion model for granular sheared flows is presented. The velocity profile exhibits two qualitatively different behaviors, dependent on control parameters. For low friction, the velocity profile follows an…

Statistical Mechanics · Physics 2009-10-31 C. Josserand

We study density waves in the flows of granular particles through vertical tubes and hoppers using both analytic methods and molecular dynamics (MD) simulations. We construct equations of motion for quasi one-dimensional systems. The…

Condensed Matter · Physics 2016-08-14 Jysoo Lee