Search results for "Maxwell’s equations"

showing 3 items of 3 documents

Improved fast Gauss transform for meshfree electromagnetic transients simulations

2019

Abstract In this paper improved fast summations are introduced to enhance a meshfree solver for the evolution of the electromagnetic fields over time. The original method discretizes the time-domain Maxwell’s curl equations via Smoothed Particle Hydrodynamics requiring many summations on the first derivatives of the kernel function and field vectors at each time step. The improved fast Gauss transform is properly adopted picking up the computational cost and the memory requirement at an acceptable level preserving the accuracy of the computation. Numerical simulations in two-dimensional domains are discussed giving evidence of improvements in the computation compared to the standard formula…

Electromagnetic fieldCurl (mathematics)Numerical approximation Improve fast Gauss transform Smoothed Particle Hydrodynamics Maxwell’s equationsApplied MathematicsComputation010102 general mathematicsGauss transformTime stepSolver01 natural sciences010101 applied mathematicsSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaApplied mathematics0101 mathematicsMathematics
researchProduct

Finite-Difference Time-Domain Simulation of Towers Cascade Under Lightning Surge Conditions

2015

In this paper, the simulation of towers cascade under lightning surge conditions is presented. Finite-difference time-domain method is used to solve both the Maxwell's and telegraph equations. Maxwell's equations and the time-domain resistivity model of Darveniza are used to simulate the nonlinear behavior of the grounding system. Telegraph equations are used to describe the propagation in the overhead lines. Multiple ionizations, on different grounding electrodes belonging to various towers, can be implemented simultaneously, without making assumptions on the shape of the ionized areas.

Engineeringbusiness.industryGroundFinite difference methodElectrical engineeringFinite-difference time-domain methodMechanicsSettore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciEarthing systemIndustrial and Manufacturing EngineeringFinite-difference time domain (FDTD) grounding ionization lightning Maxwell’s equationsNonlinear systemSettore ING-IND/31 - ElettrotecnicaControl and Systems EngineeringCascadeLightning surgesOverhead (computing)Electrical and Electronic Engineeringbusiness
researchProduct

Maxwell’s Equations and Occam’s Razor

2017

In this paper a straightforward application of Occam’s razor principle to Maxwell’s equation shows that only one entity, the electro-magnetic four-potential, is at the origin of a plurality of concepts and entities in physics. The application of the so called “Lorenz gauge” in Maxwell’s equations denies the status of real physical entity to a scalar field that has a gradient in space-time with clear physical meaning: the four-current density field. The mathematical formalism of space-time Clifford algebra is introduced and then used to encode Maxwell’s equations starting only from the electromagnetic four-potential. This approach suggests a particular Zitterbewegung (ZBW) model for charged …

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciOccam’s razorCoulomb gaugeElementary particlesZitterbewegungSettore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciElectric chargeMaxwell’s equationsSpace–time algebraVector potentialElectron structureClifford algebraLorenz gauge
researchProduct