In this paper some key elements of the Smoothed Particle Hydrodynamics methodology suitably reformulated for analyzing electromagnetic transients are investigated. The attention is focused on the interpolating smoothing kernel function which strongly influences the computational results. Some issues are provided by adopting the polynomial reproducing conditions. Validation tests involving Gaussian and cubic B-spline smoothing kernel functions in one and two dimensions are reported.
FRANCOMANO, E., TORTORICI, A., TOSCANO, E., ALA, G., VIOLA, F. (2009). On the use of a meshless solver for PDEs governing electromagnetic transients. APPLIED MATHEMATICS AND COMPUTATION, 209(1), 42-51 [10.1016/j.amc.2008.06.038].
On the use of a meshless solver for PDEs governing electromagnetic transients
FRANCOMANO, Elisa;TORTORICI, Adele;TOSCANO, Elena;ALA, Guido;VIOLA, Fabio
2009-01-01
Abstract
In this paper some key elements of the Smoothed Particle Hydrodynamics methodology suitably reformulated for analyzing electromagnetic transients are investigated. The attention is focused on the interpolating smoothing kernel function which strongly influences the computational results. Some issues are provided by adopting the polynomial reproducing conditions. Validation tests involving Gaussian and cubic B-spline smoothing kernel functions in one and two dimensions are reported.
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