Abstract
This paper deals with 3D time-harmonic eddy current analyses using the A-φ method with the continuity of the excitation current density that uses the magnetic vector potential A and the electric scalar potential φ as unknown functions. To analyze large-scale problems with over 10 million complex degrees of freedom (DOF) in parallel environments, Hierarchical Domain Decomposition Method (HDDM) is introduced, together with the data handling type “Parallel processor mode (P-mode)”. Furthermore, we research the characteristics of HDDM in time-harmonic eddy current analysis and obtain the knowledge for large-scale time-harmonic eddy current analysis. To confirm the efficiency of our method, we analyze a simple model changing its DOF several times up to 44 million complex DOF. The computations are performed with a PC cluster that consists of 32 PCs. As a result, a time-harmonic eddy current problem with 44 million complex DOF is successfully solved in less than five hours.