# From discrete elements to continuum fields: Extension to bidisperse systems

@article{Tunuguntla2015FromDE, title={From discrete elements to continuum fields: Extension to bidisperse systems}, author={Deepak R. Tunuguntla and Anthony R. Thornton and Thomas Weinhart}, journal={Computational Particle Mechanics}, year={2015}, volume={3}, pages={349-365} }

Micro–macro transition methods can be used to, both, calibrate and validate continuum models from discrete data obtained via experiments or simulations. These methods generate continuum fields such as density, momentum, stress, etc., from discrete data, i.e. positions, velocity, orientations and forces of individual elements. Performing this micro–macro transition step is especially challenging for non-uniform or dynamic situations. Here, we present a general method of performing this…

## 41 Citations

MercuryDPM: A Fast and Flexible Particle Solver Part A: Technical Advances

- Physics
- 2016

MercuryDPM is an open-source particle simulation tool—fully written in C++—developed at the University of Twente. It contains a large range of contact models, allowing for simulations of complex…

Numerical modelling of granular flows: a reality check

- Computer ScienceCPM 2016
- 2016

This paper focuses on two widely used forms of granular flow, for which discrete particle simulations are shown to provide a full, quantitative replication of the behaviours of real industrial and experimental systems.

Extended kinetic theory applied to inclined granular flows: role of boundaries

- Physics
- 2017

We compare the predictions of extended kinetic theory (EKT), where the roles of surface friction and correlation in fluctuation velocities are taken into account, with discrete element simulations of…

Polydisperse granular flows over inclined channels

- Mathematics
- 2015

This thesis focuses on modelling the dynamics of dense granular materials flowing over an inclined channel, utilising a continuum description. In the process of understanding and developing this,…

Comparing and contrasting size-based particle segregation models Applying coarse-graining to perfectly bidisperse systems

- 2016

In the past 12 years, numerous new theoretical continuum models have been formulated to predict particle segregation in size-based bidisperse granular flows over inclined channels. Despite their…

Balancing size and density segregation in bidisperse dense granular flows

- Physics
- 2017

Several experimental studies have illustrated a balance between the segregation forces arising due to size- and density-differences. However, no detailed studies have been carried out to quantify…

Comparing and contrasting size-based particle segregation models

- Physics
- 2017

Over the last 12 years, numerous new theoretical continuum models have been formulated to predict particle segregation in the size-based bidisperse granular flows over inclined channels. Despite…

Large-scale numerical simulations of polydisperse particle flow in a silo

- Physics
- 2017

Very recently, we have examined experimentally and numerically the micro-mechanical details of monodisperse particle flows through an orifice placed at the bottom of a silo (Rubio-Largo et al. in…

A Multiscale Particle Method for Mean Field Equations: The General Case

- Computer Science, MathematicsMultiscale Model. Simul.
- 2019

The approach from [39] for porous media type limit equations to a more general case, including in particular hyperbolic limits, is extended and the numerical performance of the scheme for various examples and the potential gain in computation time is discussed.

Discrete element modelling of granular column collapse tests with industrial applications

- Materials Science
- 2017

Describing the behaviour of granular materials is a challenging issue for the industry. Our work concerns packaging industries where packing equipment is designed to handle a wide range of powders…

## References

SHOWING 1-10 OF 60 REFERENCES

From discrete particles to continuum fields near a boundary

- Mathematics, Physics
- 2011

The extension accounts for the boundary interaction forces in a self-consistent way and thus allows the construction of continuous stress fields that obey the macroscopic conservation laws even within one coarse-graining width of the boundary.

From discrete particles to continuum fields in mixtures

- Mathematics
- 2013

We present a novel way to extract continuum fields from discrete particle systems that is applicable to flowing mixtures as well as boundaries and interfaces. The mass and momentum balance equations…

Stress, stress asymmetry and couple stress: from discrete particles to continuous fields

- Mathematics
- 2010

Explicit and closed expressions for the stress and couple-stress fields for discrete (classical) mechanical systems in terms of the constituents’ degrees of freedom and interactions are derived and…

Average balance equations, scale dependence, and energy cascade for granular materials.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

A new averaging method linking discrete to continuum variables of granular materials is developed and used to derive average balance equations. Its novelty lies in the choice of the decomposition…

Grainsize dynamics of polydisperse granular segregation down inclined planes

- PhysicsJournal of Fluid Mechanics
- 2011

Abstract Granular materials segregate by size when sheared, which increases the destructive power in avalanches and causes demixing in industrial flows. Here we present a concise theory to describe…

Basic of contact force models and how to perform the micro-macro transition to continuum theory

- 2011

One challenge of today’s research is the realistic simulation of granular materials, like sand or powders, consisting of millions of particles. In this article, the discrete element method (DEM), as…

Coarse-grained local and objective continuum description of three-dimensional granular flows down an inclined surface

- Physics
- 2013

Dry, frictional, steady-state granular flows down an inclined, rough surface are studied with discrete particle simulations. From this exemplary flow situation, macroscopic fields, consistent with…

Discrete Element Method Simulations for Complex Granular Flows

- Physics
- 2015

This review article focuses on the modeling of complex granular flows employing the discrete element method (DEM) approach. The specific topic discussed is the application of DEM models for the study…

The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment

- Materials Science
- 2011

Dry granular materials in a split-bottom ring shear cell geometry show wide shear bands under slow, quasi-static, large deformation. This system is studied in the presence of contact adhesion, using…