A General Procedure for Introducing Structured Nonorthogonal Discretization Grids Into High-Order Finite-Difference Time-Domain Methods

Abstract

This paper describes a general procedure for introducing structured nonorthogonal discretization grids into any high-order finite-difference time-domain method originally formulated on a uniform rectangular grid. The proposed procedure employs a coordinate transformation to map a conformal grid-a grid where all cells conform to the material boundaries of the given problem-onto a uniform rectangular grid where any high-order finite-difference scheme can be easily applied.