Dispersion in the 2D unstructured transmission line modelling (UTLM) method

Abstract

In this paper the dispersion characteristics of the two-dimensional TLM method, based upon an unstructured triangular mesh, are investigated and compared against those of the TLM method based on structured rectangular mesh. This is done numerically on an example of plane wave propagation in an homogeneous free space. Phase errors of plane wave propagation are extracted for a variety of triangular meshes and compared to an equivalent conventional TLM mesh. The computational resources needed for TLM method based on triangular and rectangular grid to obtain the same numerical dispersion are also compared.