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An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes

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

Computational Mechanics, Volume: 56, Issue: 6, Pages: 1023 - 1037

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

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DOI (Published version): 10.1007/s00466-015-1216-4

Abstract

In computational electromagnetics, the advantages of the standard Yee algorithm are its simplicity and its low computational costs. However, because of the accuracy losses resulting from the staircased representation of curved interfaces, it is normally not the method of choice for modelling electro...

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Published in: Computational Mechanics
ISSN: 0178-7675 1432-0924
Published: 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa25266
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spelling 2020-10-26T16:25:05.2024720 v2 25266 2015-12-23 An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 17f3de8936c7f981aea3a832579c5e91 0000-0003-0760-1688 Kenneth Morgan Kenneth Morgan true false 2015-12-23 CIVL In computational electromagnetics, the advantages of the standard Yee algorithm are its simplicity and its low computational costs. However, because of the accuracy losses resulting from the staircased representation of curved interfaces, it is normally not the method of choice for modelling electromagnetic interactions with objects of arbitrary shape. For these problems, an unstructured mesh finite volume time domain method is often employed, although the scheme does not satisfy the divergence free condition at the discrete level. In this paper, we generalize the standard Yee algorithm for use on unstructured meshes and solve the problem concerning the loss of accuracy linked to staircasing, while preserving the divergence free nature of the algorithm. The scheme is implemented on high quality primal Delaunay and dual Voronoi meshes. The performance of the approach was validated in previous work by simulating the scattering of electromagnetic waves by spherical 3D PEC objects in free space. In this paper we demonstrate the performance of this scheme for penetration problems in lossy dielectrics using a new averaging technique for Delaunay and Voronoi edges at the interface. A detailed explanation of the implementation of the method, and a demonstration of the quality of the results obtained for transmittance and scattering simulations by 3D objects of arbitrary shapes, are presented. Journal Article Computational Mechanics 56 6 1023 1037 0178-7675 1432-0924 31 12 2015 2015-12-31 10.1007/s00466-015-1216-4 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-10-26T16:25:05.2024720 2015-12-23T12:38:28.4559830 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
title An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
spellingShingle An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
Oubay Hassan
Kenneth Morgan
title_short An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
title_full An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
title_fullStr An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
title_full_unstemmed An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
title_sort An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes
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 Computational Mechanics
container_volume 56
container_issue 6
container_start_page 1023
publishDate 2015
institution Swansea University
issn 0178-7675
1432-0924
doi_str_mv 10.1007/s00466-015-1216-4
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 0
active_str 0
description In computational electromagnetics, the advantages of the standard Yee algorithm are its simplicity and its low computational costs. However, because of the accuracy losses resulting from the staircased representation of curved interfaces, it is normally not the method of choice for modelling electromagnetic interactions with objects of arbitrary shape. For these problems, an unstructured mesh finite volume time domain method is often employed, although the scheme does not satisfy the divergence free condition at the discrete level. In this paper, we generalize the standard Yee algorithm for use on unstructured meshes and solve the problem concerning the loss of accuracy linked to staircasing, while preserving the divergence free nature of the algorithm. The scheme is implemented on high quality primal Delaunay and dual Voronoi meshes. The performance of the approach was validated in previous work by simulating the scattering of electromagnetic waves by spherical 3D PEC objects in free space. In this paper we demonstrate the performance of this scheme for penetration problems in lossy dielectrics using a new averaging technique for Delaunay and Voronoi edges at the interface. A detailed explanation of the implementation of the method, and a demonstration of the quality of the results obtained for transmittance and scattering simulations by 3D objects of arbitrary shapes, are presented.
published_date 2015-12-31T03:30:08Z
_version_ 1763751188107362304
score 11.013148

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