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A 3D Unstructured Mesh FDTD Scheme for EM Modelling

A. Gansen, M. El Hachemi, S. Belouettar, Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

Archives of Computational Methods in Engineering

Swansea University Authors: Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

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DOI (Published version): 10.1007/s11831-019-09395-z

Abstract

The Yee finite difference time domain (FDTD) algorithm is widely used in computational electromagnetics because of its simplicity, low computational costs and divergence free nature. The standard method uses a pair of staggered orthogonal cartesian meshes. However, accuracy losses result when it is...

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Published in: Archives of Computational Methods in Engineering
ISSN: 1134-3060 1886-1784
Published: Springer Science and Business Media LLC 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa53095
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first_indexed 2020-01-23T19:49:16Z
last_indexed 2020-10-28T04:06:00Z
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spelling 2020-10-27T13:11:47.0616560 v2 53095 2020-01-03 A 3D Unstructured Mesh FDTD Scheme for EM Modelling 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 17f3de8936c7f981aea3a832579c5e91 0000-0003-0760-1688 Kenneth Morgan Kenneth Morgan true false 2020-01-03 CIVL The Yee finite difference time domain (FDTD) algorithm is widely used in computational electromagnetics because of its simplicity, low computational costs and divergence free nature. The standard method uses a pair of staggered orthogonal cartesian meshes. However, accuracy losses result when it is used for modelling electromagnetic interactions with objects of arbitrary shape, because of the staircased representation of curved interfaces. For the solution of such problems, we generalise the approach and adopt an unstructured mesh FDTD method. This co-volume method is based upon the use of a Delaunay primal mesh and its high quality Voronoi dual. Computational efficiency is improved by employing a hybrid primal mesh, consisting of tetrahedral elements in the vicinity of curved interfaces and hexahedral elements elsewhere. Difficulties associated with ensuring the necessary quality of the generated meshes will be discussed. The power of the proposed solution approach is demonstrated by considering a range of scattering and/or transmission problems involving perfect electric conductors and isotropic lossy, anisotropic lossy and isotropic frequency dependent chiral materials. Journal Article Archives of Computational Methods in Engineering Springer Science and Business Media LLC 1134-3060 1886-1784 Co–Volume, Unstructured Mesh, Finite Difference, Chiral, Metamaterial 17 1 2020 2020-01-17 10.1007/s11831-019-09395-z COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University EP/K0502935/1 2020-10-27T13:11:47.0616560 2020-01-03T14:45:17.1556216 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering A. Gansen 1 M. El Hachemi 2 S. Belouettar 3 Oubay Hassan 0000-0001-7472-3218 4 Kenneth Morgan 0000-0003-0760-1688 5 53095__16408__7d09eaecbeb949d38702e20e41e4c632.pdf 53095.pdf 2020-01-23T15:28:19.2222180 Output 10164818 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution 4.0 International License (CC-BY). true eng http://creativecommons.org/licenses/by/4.0/
title A 3D Unstructured Mesh FDTD Scheme for EM Modelling
spellingShingle A 3D Unstructured Mesh FDTD Scheme for EM Modelling
Oubay Hassan
Kenneth Morgan
title_short A 3D Unstructured Mesh FDTD Scheme for EM Modelling
title_full A 3D Unstructured Mesh FDTD Scheme for EM Modelling
title_fullStr A 3D Unstructured Mesh FDTD Scheme for EM Modelling
title_full_unstemmed A 3D Unstructured Mesh FDTD Scheme for EM Modelling
title_sort A 3D Unstructured Mesh FDTD Scheme for EM Modelling
author_id_str_mv 07479d73eba3773d8904cbfbacc57c5b
17f3de8936c7f981aea3a832579c5e91
author_id_fullname_str_mv 07479d73eba3773d8904cbfbacc57c5b_***_Oubay Hassan
17f3de8936c7f981aea3a832579c5e91_***_Kenneth Morgan
author Oubay Hassan
Kenneth Morgan
author2 A. Gansen
M. El Hachemi
S. Belouettar
Oubay Hassan
Kenneth Morgan
format Journal article
container_title Archives of Computational Methods in Engineering
publishDate 2020
institution Swansea University
issn 1134-3060
1886-1784
doi_str_mv 10.1007/s11831-019-09395-z
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description The Yee finite difference time domain (FDTD) algorithm is widely used in computational electromagnetics because of its simplicity, low computational costs and divergence free nature. The standard method uses a pair of staggered orthogonal cartesian meshes. However, accuracy losses result when it is used for modelling electromagnetic interactions with objects of arbitrary shape, because of the staircased representation of curved interfaces. For the solution of such problems, we generalise the approach and adopt an unstructured mesh FDTD method. This co-volume method is based upon the use of a Delaunay primal mesh and its high quality Voronoi dual. Computational efficiency is improved by employing a hybrid primal mesh, consisting of tetrahedral elements in the vicinity of curved interfaces and hexahedral elements elsewhere. Difficulties associated with ensuring the necessary quality of the generated meshes will be discussed. The power of the proposed solution approach is demonstrated by considering a range of scattering and/or transmission problems involving perfect electric conductors and isotropic lossy, anisotropic lossy and isotropic frequency dependent chiral materials.
published_date 2020-01-17T04:05:54Z
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score 11.037581

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