A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation

被引:23
作者
Ala, Guido [1 ]
Francomano, Elisa [2 ]
机构
[1] Univ Palermo, DIEETCAM, Palermo, Italy
[2] Univ Palermo, DICGIM, Palermo, Italy
关键词
Alternating directions implicit scheme; Finite difference time domain; Meshless methods; Electromagnetic transient analysis;
D O I
10.1007/s11075-012-9635-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A meshless particle method based on an unconditionally stable time domain numerical scheme, oriented to electromagnetic transient simulations, is presented. The proposed scheme improves the smoothed particle electromagnetics method, already developed by the authors. The time stepping is approached by using the alternating directions implicit finite difference scheme, in a leapfrog way. The proposed formulation is used in order to efficiently overcome the stability relation constraint of explicit schemes. In fact, due to this constraint, large time steps cannot be used with small space steps and vice-versa. The same stability relation holds when the meshless formulation is applied together with an explicit finite difference scheme accounted for the time stepping. The computational tool is assessed and first simulation results are compared and discussed in order to validate the proposed approach.
引用
收藏
页码:541 / 558
页数:18
相关论文
共 36 条
[1]   A numerical meshless particle method in solving the magnetoencephalography forward problem [J].
Ala, G. ;
Di Blasi, G. ;
Francomano, E. .
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2012, 25 (5-6) :428-440
[2]   An improved smoothed particle electromagnetics method in 3D time domain simulations [J].
Ala, G. ;
Francomano, E. .
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2012, 25 (04) :325-337
[3]   A meshless approach for electromagnetic simulation of metallic carbon nanotubes [J].
Ala, G. ;
Francomano, E. ;
Spagnuolo, A. ;
Tortorici, A. .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 48 (01) :72-77
[4]  
Ala G, 2012, APPL COMPUT ELECTROM, V27, P229
[5]  
[Anonymous], J MICROWAVES OPTOELE
[6]   Meshless methods: An overview and recent developments [J].
Belytschko, T ;
Krongauz, Y ;
Organ, D ;
Fleming, M ;
Krysl, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47
[7]  
Ben Moussa B, 2006, METHODS APPL ANAL, V13, P29
[8]   Element-free Galerkin method for electromagnetic field computations [J].
Clingoski, V ;
Miyamoto, N ;
Yamashita, H .
IEEE TRANSACTIONS ON MAGNETICS, 1998, 34 (05) :3236-3239
[9]   A leapfrog formulation of the 3-D ADI-FDTD algorithm [J].
Cooke, S. J. ;
Botton, M. ;
Antonsen, T. M., Jr. ;
Levush, B. .
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2009, 22 (02) :187-200
[10]   COUPLING PROJECTION DOMAIN DECOMPOSITION METHOD AND MESHLESS COLLOCATION METHOD USING RADIAL BASIS FUNCTIONS IN ELECTROMAGNETICS [J].
Duan, Y. ;
Lai, S. J. ;
Huang, T. Z. .
PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS, 2008, 5 :1-12