TY - JOUR

T1 - Corrective meshless particle formulations for time domain Maxwell’s equations

AU - Francomano, Elisa

AU - Toscano, Elena

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 -