An Adaptive Cell Method (ACM) is proposed for high-precision simulation of eddy-current problems on the uniform coarse grid. The calculation error of the Cell Method (CM) is analyzed to draw the conclusion that the discretization of the constitutive equations is the main error source. The spirit of the ACM is to decrease the discretization error by using the constitutive matrix recovery technique without refining the grid. The accuracy and efficiency of the proposed approach are verified by the numerical tests.
LiuX.Q.FangJ.C. and ZhengS.Q., Design considerations of winding for low-voltage high-speed permanent magnet motor, International Journal of Applied Electromagnetics and Mechanics48 (2015), 59–67. doi: 10.3233/JAE-140189.
2.
ZhangB.PengT.ChenQ.CaoQ.L.JiK.ShuangB.YeJ.J. and LiL., 3-D nonlinear transient analysis and design of eddy current brake for high-speed trains, International Journal of Applied Electromagnetics and Mechanics40 (2012), 205–214. doi: 10.3233/JAE-2012-1585.
3.
TontiE., A direct discrete formulation of field laws: the cell method, Computer Modeling in Engineering and Sciences1 (2001), 237–258.
4.
TontiE., Finite formulation of the electromagnetic field, IEEE Transactions on Magnetics38 (2002), 333–336. doi: 10.1109/20.996090.
5.
ZengZ.W.LiY.S.HuangL. and LuoM.F., Frequency-domain defect characterization in pulsed eddy current testing, International Symposium on Applied Electromagnetics and Mechanics45 (2014), 621–625. doi: 10.3233/JAE-141885.
6.
AlottoP.FreschiF.RepettoM. and RossoC., The cell method for electrical engineering and multiphysics problems, Springer, Berlin-Heidelberg, 2013. doi: 10.1007/978-3-642-36101-2.
7.
WeilandT., On the unique numerical solution of maxwellian eigenvalue problems in three dimensions, Journal of Controlled Release142 (1985), 374–383.
8.
ClemensM. and WeilandT., Discrete electromagnetism with finite integration techinique, Progress In Electromagnetics Research32 (2001), 65–87. doi: 10.2528/PIER00080103.
9.
BhattacharyyaB.K., Bicubic spline interpolation as a method for treatment of potential field data, Geophysicists34 (1969), 402–423. doi: 10.1190/1.1440019.
10.
TegopoulosJ.A. and KriezisE.E., Eddy currents in linear conducting media, Elsevier, Amsterdam, 1985.
