Abstract

We review simulations, experiments and a theoretical treatment of vertically vibrated granular media. The systems considered are confined in narrow quasi-two-dimensional and quasi-one-dimensional (column) geometries, where the vertical extension of the container is much larger than one or both horizontal lengths. The additional geometric constraint present in the column setup frustrates the convection state that is normally observed in wider geometries.We start by showing that the Event Driven (ED) simulation method is able to accurately reproduce the previously experimentally determined phase-diagram for vibrofludised granular materials. We then review two papers that used ED simulations to study narrow quasi-one-dimensional systems revealing a new phenomenon: collective oscillations of the grains with a characteristic frequency that is much lower than the frequency of energy injection. Theoretical work was then undertaken that is able to accurately predict the frequency of such an oscillation and Positron Emission Particle Tracking (PEPT) experiments were undertaken to provide the first experimental evidence of this new phenomenon.Finally, we briefly discuss ongoing work to create an open-source version of this ED via its integration in the existing open-source package MercuryDPM (http://MercuryDPM.org); which has many advanced features that are not found in other codes.

Highlights

  • Granular materials, large collections of discrete, macroscopic particles, are very common in industry, the natural environment and our everyday lives [1]

  • The geometry of the system is known to have a large influence on the dynamics that can be observed within this vibrofluidised system

  • We have shown that event driven simulations are a valid tool for investigating vibrofluidised systems

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Summary

Introduction

Large collections of discrete, macroscopic particles, are very common in industry, the natural environment and our everyday lives [1]. The vibrofluidised system presents a wide range of behaviours, many of which are analogs of behaviours in molecular systems: phase separation [2, 3], Faraday-like pattern formation instabilities [4, 5], heap formation and convection [6, 7], segregation [8, 9], clustering [10] and periodic cluster expansions [11], etc. We investigate the effect of changing the system’s lateral size and the transition from quasi-two-dimensional to quasi-one-dimensional systems, see Figure 1. Going work to integrate the ED method with the flexible open-source particle solver MercuryDPM

Event driven simulation of vibrofluidised systems
Phase space from ED
Comparison with theory and experiments
Conclusions
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