Modeling Complex Multiphysics Systems with Discrete Element Method Enriched with the Kernel-Independent Fast Multipole Method

TL;DR

This paper introduces a coupled simulation framework combining the MercuryDPM discrete element method with the kernel-independent fast multipole method, enabling multiscale modeling of complex systems with long-range interactions.

Contribution

It presents a novel integration of DEM with KIFMM, allowing efficient simulation of multiscale, multiphysics systems involving complex long-range interactions and non-spherical particles.

Findings

Successfully coupled MercuryDPM with KIFMM for multiscale problems

Demonstrated simulations of electrostatic, magnetic, and gravitational interactions

Enabled modeling of complex particle interactions with arbitrary charge distributions

Abstract

The paper describes the coupling of the MercuryDPM discrete element method (DEM) code and the implementation of the kernel-independent fast multipole method (KIFMM). The combined simulation framework allows addressing the large class of multiscale problems, including both the mechanical interactions of particulates at the fine scale and the long-range interactions of various natures at the coarse scale. Among these are electrostatic interactions in powders, clays, and particulates, magnetic interactions in ferromagnetic granulates, and gravitational interactions in asteroid clouds. The formalism of rigid clumps is successfully combined with KIFMM, enabling addressing problems involving complex long-large interactions between non-spherical particles with arbitrary charge distributions. The capabilities of our technique are demonstrated in several application examples.