Title :
Space-Time Adaptive Methods for the Simulation of Magnetic Fields
Author :
Wimmer, G. ; Steinmetz, T. ; Clemens, M.
Author_Institution :
Theory of Electr. Eng. & Comput. Electromagn., Helmut-Schmidt-Univ., Hamburg
Abstract :
The simulation of slowly varying magnetic fields with finite elements is investigated. While time step adaptivity and spatial mesh adaptivity alone are well established techniques, we present a combination with a time evolving mesh that assures the fineness of the mesh due to evolving and disappearing local saturation effects and eddy current layers. Given an initial mesh a hierarchical mesh is constructed by subdividing an element into congruent elements. First numerical results are presented for a magnetic field problem
Keywords :
eddy currents; finite element analysis; magnetic fields; congruent elements; eddy current layers; finite elements; local saturation effects; magnetic fields; space-time adaptive methods; spatial mesh adaptivity; time evolving mesh; time step adaptivity; Computational electromagnetics; Computational modeling; Differential equations; Eddy currents; Finite element methods; Gradient methods; Magnetic fields; Nonlinear equations; Saturation magnetization; Vectors;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1633164
