Search results for "Mesh-free particle method"

showing 2 items of 2 documents

A Mesh-free Particle Method for Transient Full-wave Simulation

2007

A mesh-free particle method is presented for electromagnetic (EM) transient simulation. The basic idea is to obtain numerical solutions for the partial differential equations describing the EM problem in time domain, by using a set of particles, considered as spatial interpolation points of the field variables, arbitrarily placed in the problem domain and by avoiding the use of a regular mesh. Irregular problems geometry with diffused non-homogeneous media can be modeled only with an initial set of arbitrarily distributed particles. The time dependence is accounted for with an explicit finite difference scheme. Moreover the particle discretization can be improved during the process time ste…

DiscretizationComputational complexity theoryElectromagnetic (EM) transient analysiComputer scienceNumerical methodMultivariate interpolationReduction (complexity)Settore MAT/08 - Analisi NumericaElectromagnetic waveFull waveTime domainElectrical and Electronic EngineeringPhysicsPartial differential equationMathematical analysisFinite difference methodComputer simulationPartial differential equationsMesh freeInterpolationElectronic Optical and Magnetic MaterialsComputational complexitySmoothed particle interpolationSettore ING-IND/31 - ElettrotecnicaParticleComputational electromagneticsTransient (oscillation)Mesh-free particle methodInterpolation2006 12th Biennial IEEE Conference on Electromagnetic Field Computation
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Smoothed Particle ElectroMagnetics: A mesh-free solver for transients

2006

AbstractIn this paper an advanced mesh-free particle method for electromagnetic transient analysis, is presented. The aim is to obtain efficient simulations by avoiding the use of a mesh such as in the most popular grid-based numerical methods. The basic idea is to obtain numerical solutions for partial differential equations describing the electromagnetic problem by using a set of particles arbitrarily placed in the problem domain. The mesh-free smoothed particle hydrodynamics method has been adopted to obtain numerical solution of time domain Maxwell's curl equations. An explicit finite difference scheme has been employed for time integration. Details about the numerical treatment of elec…

Partial differential equationElectromagneticsNumerical analysisApplied MathematicsMathematical analysisFinite-difference time-domain methodFinite difference methodMaxwell's equationSmoothed particle hydrodynamicsElectromagnetic transientsSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - Elettrotecnicasymbols.namesakeComputational MathematicsMaxwell's equationsMaxwell's equationsScattering-matrix methodElectromagnetic transientsymbolsTime domainMesh-free particle methodMathematicsJournal of Computational and Applied Mathematics
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