An improved smoothed particle electromagnetics method in 3D time domain simulations
Article first published online: 14 NOV 2011
Copyright © 2011 John Wiley & Sons, Ltd.
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume 25, Issue 4, pages 325–337, July/August 2012
How to Cite
Ala, G. and Francomano, E. (2012), An improved smoothed particle electromagnetics method in 3D time domain simulations. Int. J. Numer. Model., 25: 325–337. doi: 10.1002/jnm.834
- Issue published online: 18 JUN 2012
- Article first published online: 14 NOV 2011
- Manuscript Accepted: 22 AUG 2011
- Manuscript Revised: 21 JUN 2011
- Manuscript Received: 16 DEC 2010
- electromagnetic transient analysis;
- smoothed particle electromagnetics (SPEM);
- consistency restoring
In this paper, an enhanced variant of the meshless smoothed particle electromagnetics (SPEM) method is performed in order to solve PDEs in time domain describing 3D transient electromagnetic phenomena. The method appears to be very efficient in approximating spatial derivatives in the numerical treatment of Maxwell's curl equations. In many cases, very often, accuracy degradation, due to a lack of particle consistency, severely limits the usefulness of this approach. A numerical corrective strategy, which allows to restore the SPEM consistency, without any modification of the smoothing kernel function and its derivatives, is presented.
The method allows to restore the same order of consistency for both interior and the boundary regions outperforming the original version of SPEM as far as accuracy and stability are concerned. Therefore, computational details are reported and simulations, using uniform and non-uniform particles distribution in 3D domains, are performed for the first time in order to validate the proposed approach. Copyright © 2011 John Wiley & Sons, Ltd.