Wideband performance limitations of the C-FDTD in the discretization impoverishment of a curved surface
Purpose This paper aims to explore the limitations of the conformal finite difference time-domain method (C-FDTD or Dey–Mittra) when modeling perfect electric conducting (PEC) and lossless dielectric curved surfaces in coarse meshes. The C-FDTD is a widely known approach to reduce error of curved su...
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Veröffentlicht in: | Compel 2020-12, Vol.39 (5), p.1005-1015 |
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description | Purpose
This paper aims to explore the limitations of the conformal finite difference time-domain method (C-FDTD or Dey–Mittra) when modeling perfect electric conducting (PEC) and lossless dielectric curved surfaces in coarse meshes. The C-FDTD is a widely known approach to reduce error of curved surfaces in the FDTD method. However, its performance limitations are not broadly described in the literature, which are explored as a novelty in this paper.
Design/methodology/approach
This paper explores the C-FDTD method applied on field scattering simulations of two curved surfaces, a dielectric and a PEC sphere, through the frequency range from 0.8 to 10 GHz. For each sphere, the mesh was progressively impoverished to evaluate the accuracy drop and performance limitations of the C-FDTD with the mesh impoverishment, along with the wideband frequency range described.
Findings
This paper shows and quantifies the C-FDTD method’s accuracy drops as the mesh is impoverished, reducing C-FDTD’s performance. It is also shown how the performance drops differently according to the frequency of interest.
Practical implications
With this study, coarse meshes, with smaller execution time and reduced memory usage, can be further explored reliably accounting the desired accuracy, enabling a better trade-off between accuracy and computational effort.
Originality/value
This paper quantifies the limitations of the C-FDTD in coarse meshes in a wideband manner, which brings a broader and newer insight upon C-FDTD’s limitations in coarse meshes or relatively small objects in electromagnetic simulation. |
doi_str_mv | 10.1108/COMPEL-01-2020-0048 |
format | Article |
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This paper aims to explore the limitations of the conformal finite difference time-domain method (C-FDTD or Dey–Mittra) when modeling perfect electric conducting (PEC) and lossless dielectric curved surfaces in coarse meshes. The C-FDTD is a widely known approach to reduce error of curved surfaces in the FDTD method. However, its performance limitations are not broadly described in the literature, which are explored as a novelty in this paper.
Design/methodology/approach
This paper explores the C-FDTD method applied on field scattering simulations of two curved surfaces, a dielectric and a PEC sphere, through the frequency range from 0.8 to 10 GHz. For each sphere, the mesh was progressively impoverished to evaluate the accuracy drop and performance limitations of the C-FDTD with the mesh impoverishment, along with the wideband frequency range described.
Findings
This paper shows and quantifies the C-FDTD method’s accuracy drops as the mesh is impoverished, reducing C-FDTD’s performance. It is also shown how the performance drops differently according to the frequency of interest.
Practical implications
With this study, coarse meshes, with smaller execution time and reduced memory usage, can be further explored reliably accounting the desired accuracy, enabling a better trade-off between accuracy and computational effort.
Originality/value
This paper quantifies the limitations of the C-FDTD in coarse meshes in a wideband manner, which brings a broader and newer insight upon C-FDTD’s limitations in coarse meshes or relatively small objects in electromagnetic simulation.</description><identifier>ISSN: 0332-1649</identifier><identifier>EISSN: 2054-5606</identifier><identifier>DOI: 10.1108/COMPEL-01-2020-0048</identifier><language>eng</language><publisher>Bradford: Emerald Publishing Limited</publisher><subject>Accuracy ; Algorithms ; Antennas ; Broadband ; Error reduction ; Finite difference method ; Finite difference time domain method ; Finite element method ; Frequency ranges ; Performance evaluation ; Simulation ; Time domain analysis</subject><ispartof>Compel, 2020-12, Vol.39 (5), p.1005-1015</ispartof><rights>Emerald Publishing Limited</rights><rights>Emerald Publishing Limited 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c320t-79b498b351ed78f86c653e7ef933169a12ab44c5638f047ae3b4093a221252213</citedby><cites>FETCH-LOGICAL-c320t-79b498b351ed78f86c653e7ef933169a12ab44c5638f047ae3b4093a221252213</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.emerald.com/insight/content/doi/10.1108/COMPEL-01-2020-0048/full/html$$EHTML$$P50$$Gemerald$$H</linktohtml><link.rule.ids>314,780,784,967,11635,27924,27925,52689</link.rule.ids></links><search><creatorcontrib>Fortes, Lucas Lobo Latorre</creatorcontrib><creatorcontrib>Gonçalves, Sandro Trindade Mordente</creatorcontrib><title>Wideband performance limitations of the C-FDTD in the discretization impoverishment of a curved surface</title><title>Compel</title><description>Purpose
This paper aims to explore the limitations of the conformal finite difference time-domain method (C-FDTD or Dey–Mittra) when modeling perfect electric conducting (PEC) and lossless dielectric curved surfaces in coarse meshes. The C-FDTD is a widely known approach to reduce error of curved surfaces in the FDTD method. However, its performance limitations are not broadly described in the literature, which are explored as a novelty in this paper.
Design/methodology/approach
This paper explores the C-FDTD method applied on field scattering simulations of two curved surfaces, a dielectric and a PEC sphere, through the frequency range from 0.8 to 10 GHz. For each sphere, the mesh was progressively impoverished to evaluate the accuracy drop and performance limitations of the C-FDTD with the mesh impoverishment, along with the wideband frequency range described.
Findings
This paper shows and quantifies the C-FDTD method’s accuracy drops as the mesh is impoverished, reducing C-FDTD’s performance. It is also shown how the performance drops differently according to the frequency of interest.
Practical implications
With this study, coarse meshes, with smaller execution time and reduced memory usage, can be further explored reliably accounting the desired accuracy, enabling a better trade-off between accuracy and computational effort.
Originality/value
This paper quantifies the limitations of the C-FDTD in coarse meshes in a wideband manner, which brings a broader and newer insight upon C-FDTD’s limitations in coarse meshes or relatively small objects in electromagnetic simulation.</description><subject>Accuracy</subject><subject>Algorithms</subject><subject>Antennas</subject><subject>Broadband</subject><subject>Error reduction</subject><subject>Finite difference method</subject><subject>Finite difference time domain method</subject><subject>Finite element method</subject><subject>Frequency ranges</subject><subject>Performance evaluation</subject><subject>Simulation</subject><subject>Time domain analysis</subject><issn>0332-1649</issn><issn>2054-5606</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kT1PwzAQhi0EEqXwC1gsMRvOH0njEbXlQyoqQxGj5TgX6qpJip1Ugl9P0rIw4OGsk97nTnqOkGsOt5xDdjddvrzOFww4EyCAAajshIwEJIolKaSnZARSCsZTpc_JRYwb6J9OYEQ-3n2Bua0LusNQNqGytUO69ZVvbeubOtKmpO0a6ZQ9zFYz6utDV_joArb--xCivto1eww-rius2wGx1HVhjwWNXSitw0tyVtptxKvff0zeHuar6RNbLB-fp_cL5qSAlk10rnSWy4RjMcnKLHVpInGCpZaSp9pyYXOlXJLKrAQ1sShzBVpaIbhI-iLH5OY4dxeazw5jazZNF-p-pRFKKw2qd9Cn5DHlQhNjwNLsgq9s-DIczGDUHI0a4GYwagajPSWOFFYY7Lb4B_pzBvkDTO539g</recordid><startdate>20201217</startdate><enddate>20201217</enddate><creator>Fortes, Lucas Lobo Latorre</creator><creator>Gonçalves, Sandro Trindade Mordente</creator><general>Emerald Publishing Limited</general><general>Emerald Group Publishing Limited</general><scope>AAYXX</scope><scope>CITATION</scope><scope>0U~</scope><scope>1-H</scope><scope>7SC</scope><scope>7SP</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K6~</scope><scope>K7-</scope><scope>L.-</scope><scope>L.0</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>PYYUZ</scope><scope>Q9U</scope></search><sort><creationdate>20201217</creationdate><title>Wideband performance limitations of the C-FDTD in the discretization impoverishment of a curved surface</title><author>Fortes, Lucas Lobo Latorre ; Gonçalves, Sandro Trindade Mordente</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c320t-79b498b351ed78f86c653e7ef933169a12ab44c5638f047ae3b4093a221252213</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Accuracy</topic><topic>Algorithms</topic><topic>Antennas</topic><topic>Broadband</topic><topic>Error reduction</topic><topic>Finite difference method</topic><topic>Finite difference time domain method</topic><topic>Finite element method</topic><topic>Frequency ranges</topic><topic>Performance evaluation</topic><topic>Simulation</topic><topic>Time domain analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fortes, Lucas Lobo Latorre</creatorcontrib><creatorcontrib>Gonçalves, Sandro Trindade Mordente</creatorcontrib><collection>CrossRef</collection><collection>Global News & ABI/Inform Professional</collection><collection>Trade PRO</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ABI/INFORM Professional Standard</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ABI/INFORM Global</collection><collection>Computing Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ABI/INFORM Collection China</collection><collection>ProQuest Central Basic</collection><jtitle>Compel</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fortes, Lucas Lobo Latorre</au><au>Gonçalves, Sandro Trindade Mordente</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Wideband performance limitations of the C-FDTD in the discretization impoverishment of a curved surface</atitle><jtitle>Compel</jtitle><date>2020-12-17</date><risdate>2020</risdate><volume>39</volume><issue>5</issue><spage>1005</spage><epage>1015</epage><pages>1005-1015</pages><issn>0332-1649</issn><eissn>2054-5606</eissn><abstract>Purpose
This paper aims to explore the limitations of the conformal finite difference time-domain method (C-FDTD or Dey–Mittra) when modeling perfect electric conducting (PEC) and lossless dielectric curved surfaces in coarse meshes. The C-FDTD is a widely known approach to reduce error of curved surfaces in the FDTD method. However, its performance limitations are not broadly described in the literature, which are explored as a novelty in this paper.
Design/methodology/approach
This paper explores the C-FDTD method applied on field scattering simulations of two curved surfaces, a dielectric and a PEC sphere, through the frequency range from 0.8 to 10 GHz. For each sphere, the mesh was progressively impoverished to evaluate the accuracy drop and performance limitations of the C-FDTD with the mesh impoverishment, along with the wideband frequency range described.
Findings
This paper shows and quantifies the C-FDTD method’s accuracy drops as the mesh is impoverished, reducing C-FDTD’s performance. It is also shown how the performance drops differently according to the frequency of interest.
Practical implications
With this study, coarse meshes, with smaller execution time and reduced memory usage, can be further explored reliably accounting the desired accuracy, enabling a better trade-off between accuracy and computational effort.
Originality/value
This paper quantifies the limitations of the C-FDTD in coarse meshes in a wideband manner, which brings a broader and newer insight upon C-FDTD’s limitations in coarse meshes or relatively small objects in electromagnetic simulation.</abstract><cop>Bradford</cop><pub>Emerald Publishing Limited</pub><doi>10.1108/COMPEL-01-2020-0048</doi><tpages>11</tpages></addata></record> |
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subjects | Accuracy Algorithms Antennas Broadband Error reduction Finite difference method Finite difference time domain method Finite element method Frequency ranges Performance evaluation Simulation Time domain analysis |
title | Wideband performance limitations of the C-FDTD in the discretization impoverishment of a curved surface |
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