A coupled lattice Boltzmann method and discrete element method for discrete particle simulations of particulate flows. (30th August 2018)

• Record Type: Journal Article
• Authors: Rettinger, C.; Rüde, U.
• Is Part Of: Computers & fluids. Volume 172(2018)
• Page Start: 706
• Page End: 719
• Publication Date: 2018-08-30
• Subjects: Particulate flow -- Discrete particle simulation -- Fluid–particle coupling -- Lattice Boltzmann method -- Discrete element method; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2018.01.023
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: A new LBM–DEM coupling algorithm for discrete particle simulations is presented. Techniques for a stable coupling via interaction forces are discussed. Settling velocities of dilute and dense systems are predicted accurately. Lubrication forces are required for correct particle–wall interactions. Simulations of mono- and bi-disperse fluidized beds highlight capability of approach. Abstract: Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle–particle and particle–fluid interactions require an adequate representation but the computational cost has to be kept low. In this work, we present a novel coupling approach for such simulations. A lattice Boltzmann formulation of the generalized Navier–Stokes equations is used to describe the fluid motion. This promises efficient simulations suitable for high performance computing and, since volume displacement effects by the solid phase are considered, our approach is also applicable to non-dilute particulate systems. The discrete element method is combined with an explicit evaluation of interparticle lubrication forces to simulate the motion of individual submerged particles. Drag, pressure and added mass forces determine the momentum transfer by fluid–particle interactions. A stable coupling algorithm is presented and discussed in detail. We demonstrate the validity of our approach for dilute as well as for dense systems by predicting the settling velocity of spheres over a broad range of solid volume fractions in good agreement with semi-empirical correlations. Moreover, the accuracy of particle–wall interactions in a viscous fluid is thoroughly tested and established. Finally, simulations of mono- and bi-disperse fluidized beds highlight the capability of our new approach to handle configurations with large particle numbers.