Abstract

In many dry granular and suspension flow configurations, particles can be highly non-spherical. It is now well established in the literature that particle shape affects the flow dynamics or the microstructure of the particles assembly in assorted ways as e.g. compacity of packed bed or heap, dilation under shear, resistance to shear, momentum transfer between translational and angular motions, ability to form arches and block the flow. In this talk, we suggest an accurate and efficient way to model collisions between particles of (almost) arbitrary shape. For that purpose, we develop a Discrete Element Method (DEM) combined with a soft particle contact model. The collision detection algorithm handles contacts between bodies of various shape and size. For nonconvex bodies, our strategy is based on decomposing a non-convex body into a set of convex ones. Therefore, our novel method can be called “glued-convex method” (in the sense clumping convex bodies together), as an extension of the popular “glued-spheres” method, and is implemented in our own granular dynamics code Grains3D. Since the whole problem is solved explicitly, our fully-MPI parallelized code Grains3D exhibits a very high scalability when dynamic load balancing is not required. In particular, simulations on up to a few thousands cores in configurations involving up to a few tens of millions of particles can readily be performed. We apply our enhanced numerical model to (i) the collapse of a granular column made of convex particles and (i) the microstructure of a heap of non-convex particles in a cylindrical reactor.

Highlights

  • The Discrete Element Method has been extensively used over the past 40 years for the numerical modelling of granular material dynamics

  • The motion of the granular material is determined by applying Newton’s second law to each particle i ∈< 0, N − 1 >, where N is the total number of particles

  • We have extended the modelling capabilities of our code Grains3D to non-convex shapes and massively parallel computing

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Summary

Introduction

The Discrete Element Method has been extensively used over the past 40 years for the numerical modelling of granular material dynamics. When combined with a softsphere approach, it is conceptually simple, easy to implement and has shown to supply computed results of satisfactory accuracy. DEM simulations have overall helped a lot to gain novel physical insight into granular flows and generally contributed significantly to advance the understanding of the intricate mechanisms involved (force chains, dilatance, blockage, compaction, etc). The implementation of DEM is more challenging for large systems and systems containing non-spherical, angular and potentially non-convex particles. We suggest to treat the former by distributed computing and the latter by an extension of our numerical strategy for convex bodies to non-convex bodies

Numerical model
Extension to non-convex bodies
Parallel performance
Filling a container with non-convex shapes
Discussion and Perspectives

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