Open AccessMesh optimisation methods for unstructured transmission‐line modelling
Author(s) -
Sewell Phillip,
Benson Trevor M.,
Vukovic Ana,
Cole Sam
Publication year - 2013
Publication title -
iet science, measurement and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 49
eISSN - 1751-8830
pISSN - 1751-8822
DOI - 10.1049/iet-smt.2012.0069
Subject(s) - polygon mesh , delaunay triangulation , voronoi diagram , computer science , transmission line , fidelity , mathematical optimization , mesh generation , computational science , algorithm , triangulation , mathematics , finite element method , geometry , engineering , computer graphics (images) , telecommunications , structural engineering
Transmission‐line modelling (TLM) is a valuable technique for numerical simulation of electromagnetic fields. Recently, investigations have been successfully carried out into the use of the TLM approach on unstructured meshes However, as the local characteristics of mesh geometry will clearly make an impact upon the fidelity of simulations, it is necessary to examine suitable techniques for mesh optimisation. Three different methods have been investigated here to find optimal meshes for subsequent TLM simulations: the centroidal Voronoi Tessellation method, the optimal Delaunay triangulation method and a spring relaxation method. These different techniques are assessed in terms of maximum efficiency of the subsequent TLM simulations and the computational cost that is incurred to identify them. Several different canonical examples of mesh are considered to determine the generality of the conclusions drawn.