Unified higher-order curvilinear FDTD-PMLs for 3-D electromagnetics and advective acoustics

摘要

A systematic, non-orthogonal FDTD algorithm for the unified and fully dual construction of curvilinear PMLs in 3-D lossy electromagnetic and advective acoustic problems, is presented in this paper. Postulating a consistent mathematical formulation, the novel methodology introduces a set of general vector parametric equations that describe wave propagation in both media and facilitate the effective treatment of the remarkably complex, arbitrarily-aligned (non- uniform) source or mean flow terms, particularly at low frequencies.