Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations
This paper presents the stability analyses of nonuniform time-step (NUTS) locally one-dimensional finite-difference time-domain (LOD-FDTD) methods for electromagnetic (EM) and thermal simulations. The overall (spatial domain) transition matrix for the whole 3-D computational domain is considered for...
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| その他の著者: | |
| フォーマット: | Journal Article |
| 言語: | English |
| 出版事項: |
2020
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| 主題: | |
| オンライン･アクセス: | https://hdl.handle.net/10356/137216 |
| _version_ | 1826112916694237184 |
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| author | Tan, Eng Leong Heh, Ding Yu |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Tan, Eng Leong Heh, Ding Yu |
| author_sort | Tan, Eng Leong |
| collection | NTU |
| description | This paper presents the stability analyses of nonuniform time-step (NUTS) locally one-dimensional finite-difference time-domain (LOD-FDTD) methods for electromagnetic (EM) and thermal simulations. The overall (spatial domain) transition matrix for the whole 3-D computational domain is considered for NUTS, which takes into consideration general inhomogeneous and lossy media. Rigorous stability analyses of NUTS LOD-FDTD methods are provided for both EM and thermal simulations. The analytical proofs of unconditional stability are performed through careful assertion of respective matrix definiteness, along with spectral radius and induced matrix norm analyses. Proper transformations and manipulations are carried out differently for EM and thermal analyses to suit different matrix properties. In each analysis, the fundamental form of the transition matrix is utilized with only one main inverse term, which results in much simpler and concise analysis. It is shown that the NUTS LOD-FDTD methods are unconditionally stable for both EM and thermal simulations. |
| first_indexed | 2024-10-01T03:14:38Z |
| format | Journal Article |
| id | ntu-10356/137216 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:14:38Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1372162020-03-06T06:30:43Z Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations Tan, Eng Leong Heh, Ding Yu School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Electromagnetic And Thermal Simulations Locally One-dimensional Finite-difference Time-domain Method This paper presents the stability analyses of nonuniform time-step (NUTS) locally one-dimensional finite-difference time-domain (LOD-FDTD) methods for electromagnetic (EM) and thermal simulations. The overall (spatial domain) transition matrix for the whole 3-D computational domain is considered for NUTS, which takes into consideration general inhomogeneous and lossy media. Rigorous stability analyses of NUTS LOD-FDTD methods are provided for both EM and thermal simulations. The analytical proofs of unconditional stability are performed through careful assertion of respective matrix definiteness, along with spectral radius and induced matrix norm analyses. Proper transformations and manipulations are carried out differently for EM and thermal analyses to suit different matrix properties. In each analysis, the fundamental form of the transition matrix is utilized with only one main inverse term, which results in much simpler and concise analysis. It is shown that the NUTS LOD-FDTD methods are unconditionally stable for both EM and thermal simulations. Accepted version 2020-03-06T06:30:43Z 2020-03-06T06:30:43Z 2017 Journal Article Tan, E. L., & Heh, D. Y. (2017). Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations. IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2, 183-193. doi:10.1109/jmmct.2017.2769022 2379-8815 https://hdl.handle.net/10356/137216 10.1109/JMMCT.2017.2769022 2-s2.0-85066352889 2 183 193 en IEEE Journal on Multiscale and Multiphysics Computational Techniques © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/JMMCT.2017.2769022 application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Electromagnetic And Thermal Simulations Locally One-dimensional Finite-difference Time-domain Method Tan, Eng Leong Heh, Ding Yu Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations |
| title | Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations |
| title_full | Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations |
| title_fullStr | Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations |
| title_full_unstemmed | Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations |
| title_short | Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations |
| title_sort | stability analyses of nonuniform time step lod fdtd methods for electromagnetic and thermal simulations |
| topic | Engineering::Electrical and electronic engineering Electromagnetic And Thermal Simulations Locally One-dimensional Finite-difference Time-domain Method |
| url | https://hdl.handle.net/10356/137216 |
| work_keys_str_mv | AT tanengleong stabilityanalysesofnonuniformtimesteplodfdtdmethodsforelectromagneticandthermalsimulations AT hehdingyu stabilityanalysesofnonuniformtimesteplodfdtdmethodsforelectromagneticandthermalsimulations |