Collocated electrodynamic FDTD schemes using overlapping Yee grids and higher-order Hodge duals
| Autor: | Michal Okoniewski, M. E. Potter, Chris Deimert |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics and Astronomy (miscellaneous)
02 engineering and technology FDTD methods 01 natural sciences Lebedev quadrature 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Applied mathematics Hodge dual Computer Science::Distributed Parallel and Cluster Computing Mathematics 010302 applied physics Coupling Numerical Analysis Applied Mathematics Mathematical analysis Isotropy Finite-difference time-domain method 020206 networking & telecommunications Grid Computer Science Applications Computational Mathematics Discrete exterior calculus Modeling and Simulation Dual polyhedron |
| Zdroj: | Journal of Computational Physics. 326:629-649 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2016.08.048 |
| Popis: | The collocated Lebedev grid has previously been proposed as an alternative to the Yee grid for electromagnetic finite-difference time-domain (FDTD) simulations. While it performs better in anisotropic media, it performs poorly in isotropic media because it is equivalent to four overlapping, uncoupled Yee grids. We propose to couple the four Yee grids and fix the Lebedev method using discrete exterior calculus (DEC) with higher-order Hodge duals. We find that higher-order Hodge duals do improve the performance of the Lebedev grid, but they also improve the Yee grid by a similar amount. The effectiveness of coupling overlapping Yee grids with a higher-order Hodge dual is thus questionable. However, the theoretical foundations developed to derive these methods may be of interest in other problems. |
| Databáze: | OpenAIRE |
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