The aim of this project is to develop numerical tools to simulate polydisperse granular flows, in particular for rotating geometries such as rotating drums. Continuum simulation methods, such as finite volume methods or discontinuous Galerkin finite element methods, are fast but require many assumptions and closure relations. On the other hand, discrete particle simulations are accurate, but computationally very expensive. This project aims to combine both types of simulation methods in order to develop fast and accurate numerical solvers for granular flows.…..
Models for shallow bidisperse granular chute flows have been discretized using a discontinuous Galerkin finite element method implemented in hpGEM. Using closure-parameters that were measured in 3D particle simulations of small systems, the one-dimensional continuum simulations show that a structure emerges with the front of the flow being thicker than the inflow, see Figure 1. We developed a traveling wave solution for this structure and have shown that the continuum simulations converge to this traveling wave solution. With the approximations being made, the continuum simulations show remarkable good similarity to discrete particle simulations...
Figure 1: Comparison of a discrete particle simulation of a bidisperse flow down an inclined plane (with large particles in red and small particles in green) with species boundaries by the bidisperse shallow granular continuum model (black lines). Note that the x-axis is 100-fold compressed.
I.F.C. Denissen, On segregation in bidisperse granular flows, University of Twente, 28 November 2019.