An analysis of the stability of a general-purpose 3D subgridding method

In this work, we intend to study stability of a FDTD subgridding method based on a 1:2 ratio transition and whose equations are directly obtained by using a main-dual grid formalism. We provide three different approaches in order to obtain a clear view of the stability: an heuristic study, an analyt...

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Bibliographic Details
Published in:	2022 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO) pp. 1 - 3
Main Authors:	Valverde, Antonio J. Martin, Miguel, Ruiz Cabello N., Bretones, Amelia Rubio, Garcia, Salvador Gonzalez
Format:	Conference Proceeding
Language:	English
Published:	IEEE 06-07-2022
Subjects:	Computational Electromagnetic (CEM) Eigenvalues Finite-differences time-domain (FDTD) Numerical models Power system stability Rough surfaces Spectral analysis Stability Stability analysis Subgridding Surface roughness Three-dimensional displays Time-domain analysis
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Summary:	In this work, we intend to study stability of a FDTD subgridding method based on a 1:2 ratio transition and whose equations are directly obtained by using a main-dual grid formalism. We provide three different approaches in order to obtain a clear view of the stability: an heuristic study, an analytical scheme based on integration lines and surfaces and an spectral analysis. We show that all three methods provide similar results, obtaining that roughly a 65% time-step reduction is enough to achieve stability.
DOI:	10.1109/NEMO51452.2022.10038973