Large-scale analysis of magnetic particle dynamics taking into account contact force and magnetic interaction with the fast multipole method

Abstract

This paper investigates a large-scale analysis of magnetic particles’ behavior in magnetic fields by using a novel method combining the discrete element method and the magnetic interaction calculation with the fast multipole method (FMM). Furthermore, the effective formulae for the derivative of the magnetic field in the FMM procedure, which is necessary to calculate magnetic forces among a large number of magnetic particles, are proposed. Numerical examples of large-scale magnetic-particle chain analysis that demonstrate the effectiveness of the proposed method are presented.