Multigrid methods for the fast numerical simulation of coupled magnetomechanical systems

摘要

A recently developed calculation scheme for the numerical simulation of the transient behavior of magnetomechanical systems is presented. The scheme is based on the Finite-Element-Method (FEM) and allows the precise numerical calculation of dynamic rigid motions as well as deformations of magnetic and non-magnetic materials in a magnetic field. The solution process is considerably accelerated by using different grids for the mechanical and the magnetic field and solving the coupled system with an implicit Multigrid Method (MG). The applicability of the developed calculation technique will be demonstrated by the 3D computation of the transient behavior of an magnetically excited aluminum plate. Thereby, the parabolic PDE of the magnetic field has to be coupled to the hyperbolic PDE of the mechanical field. Numerical simulation results show good agreement with measured data. [References: 8]