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 problem geometry with diffused nonhomogeneous media can be modeled only with an initial set of arbitrarily distributed particles. Consistency recovery strategy of the numerical scheme is discussed and enforced. The time dependence is accounted for with an explicit finite-difference scheme. Comparison with analytical solution for a 2-D case study is shown.