6533b827fe1ef96bd1286671

RESEARCH PRODUCT

Corrective meshless particle formulations for time domain Maxwell's equations

A. TortoriciElisa FrancomanoElena ToscanoFabio ViolaGuido Ala

subject

Electromagnetic fieldRegularized meshless methodMathematical optimizationDiscretizationNumerical analysisApplied MathematicsMeshless particle methodMaxwell's equationSmoothed particle hydrodynamicsElectromagnetic transientsSmoothed-particle hydrodynamicssymbols.namesakeSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaComputational MathematicsMaxwell's equationsMaxwell's equationsMesh generationsymbolsElectromagnetic transientApplied mathematicsTime domainMathematics

description

AbstractIn this paper a meshless approximation of electromagnetic (EM) field functions and relative differential operators based on particle formulation 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 analytical solution.

yearjournalcountryeditionlanguage
2007-12-01Journal of Computational and Applied Mathematics
10.1016/j.cam.2006.10.054http://dx.doi.org/10.1016/j.cam.2006.10.054