Two-Dimensional Thermal Diffusion Equation Solver Based on Unstructured Transmission-Line Modelling and Optimal Delaunay Triangular Meshes

The transmission-line modelling (TLM) method has been widely applied to many areas including electromagnetic and heat conduction problems. Its unstructured version, unstructured TLM (UTLM), however, has not hitherto been fully exploited in thermal diffusion problems. This paper derives in detail a t...

Full description

Saved in:
Bibliographic Details
Published inIEEE journal on multiscale and multiphysics computational techniques Vol. 7; pp. 268 - 275
Main Authors Yan, Kaiqi, Vukovic, Ana, Sewell, Phillip, Benson, Trevor M.
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Conduction heating
Conductive heat transfer
diffusion equation
Finite element method
Mathematical models
Modelling
optimal delaunay triangulation
Simulation
Space heating
Thermal conductivity
Thermal diffusion
Thermal stability
Time-domain analysis
Time-varying systems
Transmission lines
unstructured transmission-line modeling
Online AccessGet full text
ISSN2379-8815
2379-8815
DOI10.1109/JMMCT.2022.3209071

Cover

Abstract The transmission-line modelling (TLM) method has been widely applied to many areas including electromagnetic and heat conduction problems. Its unstructured version, unstructured TLM (UTLM), however, has not hitherto been fully exploited in thermal diffusion problems. This paper derives in detail a thermal UTLM scheme to solve the two-dimensional diffusion equation numerically based on the optimal Delaunay triangular (ODT) mesh.
AbstractList The transmission-line modelling (TLM) method has been widely applied to many areas including electromagnetic and heat conduction problems. Its unstructured version, unstructured TLM (UTLM), however, has not hitherto been fully exploited in thermal diffusion problems. This paper derives in detail a thermal UTLM scheme to solve the two-dimensional diffusion equation numerically based on the optimal Delaunay triangular (ODT) mesh.
Author Yan, Kaiqi
Sewell, Phillip
Benson, Trevor M.
Vukovic, Ana
Author_xml – sequence: 1
  givenname: Kaiqi
  orcidid: 0000-0002-6547-6152
  surname: Yan
  fullname: Yan, Kaiqi
  email: kaiqi.yan@nottingham.ac.uk
  organization: George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K
– sequence: 2
  givenname: Ana
  orcidid: 0000-0002-3825-6891
  surname: Vukovic
  fullname: Vukovic, Ana
  email: ana.vukovic@nottingham.ac.uk
  organization: George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K
– sequence: 3
  givenname: Phillip
  orcidid: 0000-0001-6629-2892
  surname: Sewell
  fullname: Sewell, Phillip
  email: phillip.sewell@nottingham.ac.uk
  organization: George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K
– sequence: 4
  givenname: Trevor M.
  orcidid: 0000-0002-7153-0215
  surname: Benson
  fullname: Benson, Trevor M.
  email: Trevor.benson@nottingham.ac.uk
  organization: George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, U.K
BookMark eNpNkM1OwzAQhC0EElD6AnCJxDnFXoc6PkIpf2rUA-EcOfEGjFKn2Amor8BT47QV4jS7q_1Gmjklh7a1SMg5oxPGqLx6zrJZPgEKMOFAJRXsgJwAFzJOU3Z9-G8-JmPvPyilTABQCifkJ_9u4zuzQutNa1UT5e_oVkHvTF33wy2af_aqG4aXtvlCF90qjzoK-6v1neurrndhz52yfmX8gMQLYzHKWo1NY-xbpKyOluvObH2xUb1VmwAYZd_6RrkoQ_-O_owc1arxON7riLzez_PZY7xYPjzNbhZxBZJ2sdAi0ZLVZVVNE8mUKBViVUKpQSIklRYME81hmnIUktE0VSFtCRUTSvJrzUfkcue7du1nj74rPtrehey-AAFcUsZTEb5g91W51nuHdbF2IYDbFIwWQ-3FtvZiqL3Y1x6gix1kEPEPkJLShCX8F_I4gr8
CODEN IJMMOP
Cites_doi 10.1002/nme.2579
10.1109/16.372064
10.1109/TMTT.2004.827027
10.1145/1073204.1073238
10.1016/j.jtherbio.2016.07.003
10.1109/20.996090
10.1109/95.725205
10.1016/j.jcp.2006.10.025
10.1109/JMMCT.2017.2683066
10.1049/cp:19940068
10.1002/nme.1620110810
10.1109/TMTT.2005.848078
10.1093/imaman/5.1.385
10.1109/STHERM.2002.991353
10.1016/j.compbiomed.2010.12.002
10.1109/9780470546659
10.1007/bfb0014497
10.1049/cp:19980658
10.1109/ICTON.2012.6253758
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022
DBID 97E
RIA
RIE
AAYXX
CITATION
7SC
8FD
F28
FR3
JQ2
L7M
L~C
L~D
DOI 10.1109/JMMCT.2022.3209071
DatabaseName IEEE Xplore (IEEE)
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
Computer and Information Systems Abstracts Professional
DatabaseTitleList Technology Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
EISSN 2379-8815
EndPage 275
ExternalDocumentID 10_1109_JMMCT_2022_3209071
9900414
Genre orig-research
GrantInformation_xml – fundername: University of Nottingham
  funderid: 10.13039/501100000837
GroupedDBID 0R~
97E
AAJGR
AASAJ
AAWTH
ABAZT
ABJNI
ABQJQ
ABVLG
ACGFS
AGQYO
AGSQL
AHBIQ
AKJIK
AKQYR
ALMA_UNASSIGNED_HOLDINGS
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
EBS
EJD
IFIPE
JAVBF
OCL
RIA
RIE
AAYXX
CITATION
RIG
7SC
8FD
F28
FR3
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c290t-7d74d91fbcc6491a7baeecb2bd29e24cd71e4d32683e791088a172b2c17a935d3
IEDL.DBID RIE
ISSN 2379-8815
IngestDate Mon Jun 30 06:19:19 EDT 2025
Tue Jul 01 01:32:47 EDT 2025
Wed Aug 27 02:18:43 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c290t-7d74d91fbcc6491a7baeecb2bd29e24cd71e4d32683e791088a172b2c17a935d3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-6629-2892
0000-0002-7153-0215
0000-0002-6547-6152
0000-0002-3825-6891
OpenAccessLink https://nottingham-repository.worktribe.com/output/11750043
PQID 2723901387
PQPubID 4437231
PageCount 8
ParticipantIDs ieee_primary_9900414
crossref_primary_10_1109_JMMCT_2022_3209071
proquest_journals_2723901387
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20220000
2022-00-00
20220101
PublicationDateYYYYMMDD 2022-01-01
PublicationDate_xml – year: 2022
  text: 20220000
PublicationDecade 2020
PublicationPlace Piscataway
PublicationPlace_xml – name: Piscataway
PublicationTitle IEEE journal on multiscale and multiphysics computational techniques
PublicationTitleAbbrev JMMCT
PublicationYear 2022
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref12
ref15
ref14
ref11
ref22
ref10
ref21
Faul A (ref1) 2016
ref2
ref17
ref16
Maire (ref3) 2011; 11
ref19
ref18
ref8
Spaeck-Leigsnering (ref23) 2020
ref7
Chen (ref20) 2004; 22
ref9
ref4
ref6
ref5
References_xml – ident: ref14
  doi: 10.1002/nme.2579
– volume: 11
  start-page: 76
  year: 2011
  ident: ref3
  article-title: A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids
  publication-title: J. Comput. Phys.
– ident: ref7
  doi: 10.1109/16.372064
– ident: ref16
  doi: 10.1109/TMTT.2004.827027
– ident: ref21
  doi: 10.1145/1073204.1073238
– ident: ref12
  doi: 10.1016/j.jtherbio.2016.07.003
– ident: ref18
  doi: 10.1109/20.996090
– start-page: 1
  volume-title: Proc. VDE High Voltage Technol. 2020; ETG- Symp.
  year: 2020
  ident: ref23
  article-title: Electrothermal finite element analysis of a pluggable high voltage surge arrester
– ident: ref5
  doi: 10.1109/95.725205
– ident: ref2
  doi: 10.1016/j.jcp.2006.10.025
– volume-title: Concise Introduction to Numerical Analysis
  year: 2016
  ident: ref1
– ident: ref13
  doi: 10.1109/JMMCT.2017.2683066
– ident: ref9
  doi: 10.1049/cp:19940068
– ident: ref6
  doi: 10.1002/nme.1620110810
– ident: ref17
  doi: 10.1109/TMTT.2005.848078
– ident: ref10
  doi: 10.1093/imaman/5.1.385
– ident: ref8
  doi: 10.1109/STHERM.2002.991353
– ident: ref11
  doi: 10.1016/j.compbiomed.2010.12.002
– ident: ref4
  doi: 10.1109/9780470546659
– ident: ref15
  doi: 10.1007/bfb0014497
– ident: ref19
  doi: 10.1049/cp:19980658
– ident: ref22
  doi: 10.1109/ICTON.2012.6253758
– volume: 22
  start-page: 299
  issue: 2
  year: 2004
  ident: ref20
  article-title: Optimal delaunay triangulations
  publication-title: J. Comput. Math.
SSID ssj0001722002
Score 2.1765916
Snippet The transmission-line modelling (TLM) method has been widely applied to many areas including electromagnetic and heat conduction problems. Its unstructured...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Index Database
Publisher
StartPage 268
SubjectTerms Conduction heating
Conductive heat transfer
diffusion equation
Finite element method
Mathematical models
Modelling
optimal delaunay triangulation
Simulation
Space heating
Thermal conductivity
Thermal diffusion
Thermal stability
Time-domain analysis
Time-varying systems
Transmission lines
unstructured transmission-line modeling
Title Two-Dimensional Thermal Diffusion Equation Solver Based on Unstructured Transmission-Line Modelling and Optimal Delaunay Triangular Meshes
URI https://ieeexplore.ieee.org/document/9900414
https://www.proquest.com/docview/2723901387
Volume 7
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV07T8MwELaAiYXyFIWCPLBB0sRJ63gECkKVAgOt1C3y4yIqUAqkEYKfwK_m7KQgHgNbHMVW5O98_u58viPkKFZGIQ3iXl8aZo8ZhSe4MJ5meaKjMFaJtH7I9Lp_NY6Hk95kiZx83oUBABd8Br59dGf5ZqYr6yrrouYMXNXqZTTc6rtaX_4Uzmy8weJeTCC6wzQ9H6EFyJgfsQCNwPDb3uOKqfzSwG5buWyRdPFDdTTJvV_Nla_ffuRq_O8fr5O1hl_S01ogNsgSFJuk1XBN2qzkcou8j15m3sCm9q_TclCUF9TRD3QwzfPKvqMXT3UacHo7s-HT9Aw3PEOxPW6yzlbP2HabHQqL7eKhZQvUlldzmb6pLAy9QZ3kxoUHWRXyFTtMrY8ULWqaQnkH5TYZX16Mzq-8pi4DIiiCuccNj40Ic6V1Pxah5EoCaMWUYQJYrA0PITbIC5MIONKRJJGIjmI65FJEPRPtkJViVsAuociu0IIDEDnKhFJ5EvRyHijGdB5aqtMmxwvEssc6_UbmzJZAZA7fzOKbNfi2yZaF4PPLZvbbpLMAOWtWaJkxzqy7J0r43t-99smqHbt2t3TICk4sHCABmatDJ3kfiYvbzQ
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Lb9NAEB5F4QAXQimIlD72wA2c2Gsn6z1C2yiEuBxIpN6sfYxFRWS3TSwEP4FfzezabkXhwM1ree3VfuOdb2ZnZwDeJNpqokEimCrL3TajDKSQNjC8SE0cJTpVzg-ZXUzn62RxObnswbu7szCI6IPPcOQu_V6-rUztXGVjWjlDX7X6Een9SdSc1rr3qAjuIg66kzGhHC-y7HRFNiDno5iHZAZGf2gfX07lrzXYK5bZALJuSE08ybdRvdMj8_NBtsb_HfMzeNoyTPa-EYk96GH5HAYt22Ttv7zdh1-r71Vw5pL7N4k5GEkMrdIbdnZVFLW7x85vmkTg7EvlAqjZB1J5llF73eadrW-p7dUdiYvrEpBti8wVWPO5vpkqLftMq5J_L25UXaof1OHKeUnJpmYZbr_i9gWsZ-er03nQVmYgDGW4C4QViZVRoY2ZJjJSQitEo7m2XCJPjBURJpaYYRqjIEKSporQ0dxEQsl4YuOX0C-rEl8BI35FNhyiLEgqtC7ScFKIUHNuisiRnSG87RDLr5sEHLk3XEKZe3xzh2_e4juEfQfB3ZPt7A_hsAM5b__Rbc4Fdw6fOBUH_-51Ao_nq2yZLz9efHoNT9x3GufLIfRpkvGI6MhOH3sp_A0k098W
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Two-Dimensional+Thermal+Diffusion+Equation+Solver+Based+on+Unstructured+Transmission-Line+Modelling+and+Optimal+Delaunay+Triangular+Meshes&rft.jtitle=IEEE+journal+on+multiscale+and+multiphysics+computational+techniques&rft.au=Yan%2C+Kaiqi&rft.au=Vukovic%2C+Ana&rft.au=Sewell%2C+Phillip&rft.au=Benson%2C+Trevor+M.&rft.date=2022&rft.pub=IEEE&rft.eissn=2379-8815&rft.volume=7&rft.spage=268&rft.epage=275&rft_id=info:doi/10.1109%2FJMMCT.2022.3209071&rft.externalDocID=9900414
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2379-8815&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2379-8815&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2379-8815&client=summon