[Show abstract][Hide abstract] ABSTRACT: Based on a proposed inexact Hodge decomposition, this paper describes a viable scheme using the second order finite elements in the T-Ω method considering multiply-connected regions for the eddy current problems. Several numerical examples have been presented to demonstrate the effectiveness of this scheme.
Full-text · Article · Jan 2015 · Progress In Electromagnetics Research M
[Show abstract][Hide abstract] ABSTRACT: An automatic cut generation algorithm is applied to treat multiply connected regions in three-dimensional transient solutions including rigid motion. In the cutting domains, the zero curl condition of vector potential $mbi T$ is strongly imposed. A new algorithm is developed to guarantee that the generation of every cutting domain will reside on either the stationary region or on the moving region without touching or crossing the mesh coupling interface so that the difficulty of coupling the nonconforming mesh between stationary and moving parts can be avoided. In addition, a much convenient and reliable scheme is introduced to handle periodic boundary conditions.
Full-text · Article · Feb 2014 · IEEE Transactions on Magnetics
[Show abstract][Hide abstract] ABSTRACT: This paper details the derivation of the Jacobian matrix and the residual vector associated with the Newton-Raphson iteration sequence in terms of the T-Ω formulation. Then, a scheme is proposed to efficiently find the optimum relaxation factor for improving global convergence. Furthermore, to address some local convergence issues, a local damping factor that damps the updating of the nonlinear material property for the evaluation of Jacobian matrix during nonlinear iteration is introduced.