Intrusive polynomial-chaos approach for stochastic problems with axial symmetry

We present and validate a computational approach that enables the quantification of time-dependent uncertainty in axially symmetric electromagnetic (EM) problems, in the context of a unique simulation. In essence, the finite-difference time-domain (FDTD) method, adapted to model bodies of revolution (BOR), is combined with truncated polynomial-chaos (PC) expansions of the involved field components...