Dispersion and Stability Analysis for TLM Unstructured Block Meshing

The insatiable demand to optimize and engineer new functionalities in electromagnetic devices has risen their geometrical complexity unprecedented levels. This usually results computationally multiscale problems with some tiny components of great importance the overall behavior these devices. Block meshing is a powerful technique for treating such problems. usage variable mesh size adaptable adequately representing details without exhausting computational resources uniform fine grid entire domain. In addition, block allows use cubic cells only which time step maximum velocity error minimal each subregion. this article, we present mathematical formulation stability dispersion analysis when using transmission-line matrix (TLM) method. These relations permit us compute that guarantee tolerable level numerical dispersion, hence minimizing expenditures. Moreover, study case adopting local demonstrate origins instability may appear case. Finally, experiments are presented show advantages proposed approach TLM meshing. A similar procedure can be used FDTD or FIT