A Mesh-Free Particle Method for Transient Full-Wave Simulation

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 stepping, by inserting and/or removing particles without the need of overlapping sub-grids. These features lead to a reduction of the global computational complexity in comparison with traditional grid based frames. Canonical application examples are discussed and validated.