TY - JOUR
T1 - Corrective meshless particle formulations for time domain Maxwell’s equations
AU - Toscano, Elena
AU - Francomano, Elisa
AU - Viola, Fabio
AU - Ala, Guido
AU - Tortorici, Adele
PY - 2007
Y1 - 2007
N2 - In this paper a meshless approximation of electromagnetic (EM) field functions and relative differential operators based on particleformulation is proposed. The idea is to obtain numerical solutions for EM problems by passing up the mesh generation usually required to compute derivatives, and by employing a set of particles arbitrarily placed in the problem domain. The meshless Smoothed Particle Hydrodynamics method has been reformulated for solving the time domain Maxwell’s curl equations. The consistency of the discretized model is investigated and improvements in the approximation are obtained by modifying the numerical process. Corrective algorithms preserving meshless consistency are presented and successfully used. Test problems, dealing with even and uneven particles distribution, are simulated to validate the proposed methodology, also by introducing a comparison with analyticalsolution.
AB - In this paper a meshless approximation of electromagnetic (EM) field functions and relative differential operators based on particleformulation is proposed. The idea is to obtain numerical solutions for EM problems by passing up the mesh generation usually required to compute derivatives, and by employing a set of particles arbitrarily placed in the problem domain. The meshless Smoothed Particle Hydrodynamics method has been reformulated for solving the time domain Maxwell’s curl equations. The consistency of the discretized model is investigated and improvements in the approximation are obtained by modifying the numerical process. Corrective algorithms preserving meshless consistency are presented and successfully used. Test problems, dealing with even and uneven particles distribution, are simulated to validate the proposed methodology, also by introducing a comparison with analyticalsolution.
KW - Electromagnetic transients
KW - Maxwell's equations
KW - Meshless particle method
KW - Smoothed particle hydrodynamics
KW - Electromagnetic transients
KW - Maxwell's equations
KW - Meshless particle method
KW - Smoothed particle hydrodynamics
UR - http://hdl.handle.net/10447/2396
M3 - Article
VL - 210, December 2007
SP - 34
EP - 46
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
ER -