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Coarse grained DEM simulation of non-spherical and poly-dispersed particles using Scaled-Up Particle (SUP) model

Washino, Kimiaki 大阪大学

2023.08.01

概要

Various kinds of powders and particles can be found in nature or
produced in industry, and they are stored, transported, mixed and/or
separated in a wide range of engineering applications. Individual particle properties such as size, shape and surface energy can have a
considerable impact on the way the particles interact with neighbouring particles and wall boundaries, which affects the bulk flow
dynamics. However, particle level interactions are extremely complex
and challenging to be observed by experiment, and our knowledge
today is still limited. Therefore, the design of equipment and process
conditions are often determined empirically which is inefficient and
requires numerous trial-and-errors.
Numerical simulation can be a powerful alternative tool to understand the underlying physics to achieve better process control,
optimisation and troubleshooting. Discrete Element Method (DEM) [1]
has become a particularly popular choice of simulating particulate
flows where the movement of particles is carefully tracked in a Lagrangian manner. One of the main advantages of DEM over a Eulerian
model is that the individual particle properties and the inter-particle
interactions can be directly considered.
In many studies in the literature (e.g., [2,3]), spherical particles
are used in DEM because of (a) fast contact detection, (b) simple
form of the rotational equation to solve, and (c) easy implementation
in a numerical code. However, most of the real-life particles are not
spherical but have complex shapes. Rolling resistance [4,5] is sometimes utilised to artificially take into account particle non-sphericity
while using spherical particles. Although this is an easy and convenient
method, it is still unclear how much the rolling resistance alone can
mimic various physical effects caused by particle shape such as particle
inter-locking [6]. To the best of the authors’ knowledge, there is no rule
of thumb to determine the type and magnitude of rolling resistance to
properly represent the high non-sphericity of particles.
Several models are already proposed and used in the literature to
directly represent the non-sphericity of particles in DEM. A good review
can be found in [7]. One of the most commonly used models is the multisphere model that uses multiple sub-spheres rigidly clumped together
to represent one non-spherical particle [8–12]. In this way, the particle
contact can be detected using the same algorithm for spheres, and any
shape, in theory, can be represented by changing the number, size and
position of the sub-spheres. The drawbacks are (a) the computational
cost increases rapidly as the number of sub-spheres increases and (b)
the resultant particle surface has perceptible roughness in the scale of
the sub-spheres. Another popular model to explicitly handle particle
non-sphericity is the polyhedral model [13–15] where one particle
consists of multiple facets. It can represent arbitrary particle shape
even with sharp corners. However, very small facets are required to
properly represent a particle surface with high curvature, which can
increase the computational cost enormously. An alternative approach
is to implicitly capture particle shape using a mathematical function.
Particularly, the superquadric function, which is first introduced by
Barr [16], has attracted much attention since it can describe a variety of
non-spherical shapes commonly found in engineering applications such
as ellipsoids, cuboids, disks and rods by changing only 5 parameters for
size and blockiness [12,17,18]. ...

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参考文献

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CRediT authorship contribution statement

Kimiaki Washino: Conceptualization, Methodology, Software, Validation, Data curation, Investigation, Writing – original draft. Ei L.

Chan: Validation, Data curation, Software, Investigation, Writing –

review & editing. Yukiko Nishida: Data curation. Takuya Tsuji: Supervision.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to

influence the work reported in this paper.

Data availability

Data will be made available on request.

Acknowledgements

The authors are grateful to JSPS, Japan (KAKENHI Grant No.

20K11850) for the financial support to this work. This research was

supported in part through computational resources provided by Research Institute for Information Technology, Kyushu University.

Appendix A. Supplementary data

Supplementary material related to this article can be found online

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Coarse grained DEM simulation of non-spherical and poly-dispersed particles using Scaled-Up Particle (SUP) model

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Coarse grained DEM simulation of non-spherical and poly-dispersed particles using Scaled-Up Particle (SUP) model

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