IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS
The work presents an application of the boundary element method applied to a two-dimensional conductive heat transfer. The algorithm of the method is explained and its advantages are outlined. Green’s function as a fundamental solution for Poisson’s equation in two dimensions was used and the direc...
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Format: | Article |
Language: | English |
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Gdańsk University of Technology
2013-01-01
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Series: | TASK Quarterly |
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Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1933 |
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author | MICHAŁ T. LEWANDOWSKI |
author_facet | MICHAŁ T. LEWANDOWSKI |
author_sort | MICHAŁ T. LEWANDOWSKI |
collection | DOAJ |
description |
The work presents an application of the boundary element method applied to a two-dimensional conductive heat transfer. The algorithm of the method is explained and its advantages are outlined. Green’s function as a fundamental solution for Poisson’s equation in two dimensions was used and the direct approach was applied. The presented results concern building construction elements as typical cases of thermal bridges. Some properties of the boundary element method which give new possibilities were considered. For instance, forcing selected values of temperature on inner edges of the considered domain or local increasing of the temperature field resolution. The simulations were performed with the author’s own algorithm.
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first_indexed | 2024-04-13T23:44:05Z |
format | Article |
id | doaj.art-0a9588f569f54e189b08d542019238a5 |
institution | Directory Open Access Journal |
issn | 1428-6394 |
language | English |
last_indexed | 2024-04-13T23:44:05Z |
publishDate | 2013-01-01 |
publisher | Gdańsk University of Technology |
record_format | Article |
series | TASK Quarterly |
spelling | doaj.art-0a9588f569f54e189b08d542019238a52022-12-22T02:24:24ZengGdańsk University of TechnologyTASK Quarterly1428-63942013-01-01171-2IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTSMICHAŁ T. LEWANDOWSKI0Gdansk University of Technology, Faculty of Technical Physics and Applied Mathematics The work presents an application of the boundary element method applied to a two-dimensional conductive heat transfer. The algorithm of the method is explained and its advantages are outlined. Green’s function as a fundamental solution for Poisson’s equation in two dimensions was used and the direct approach was applied. The presented results concern building construction elements as typical cases of thermal bridges. Some properties of the boundary element method which give new possibilities were considered. For instance, forcing selected values of temperature on inner edges of the considered domain or local increasing of the temperature field resolution. The simulations were performed with the author’s own algorithm. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1933heat transferboundary element method (BEM)temperature fieldthermal bridgeGreen’s function |
spellingShingle | MICHAŁ T. LEWANDOWSKI IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS TASK Quarterly heat transfer boundary element method (BEM) temperature field thermal bridge Green’s function |
title | IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS |
title_full | IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS |
title_fullStr | IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS |
title_full_unstemmed | IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS |
title_short | IMPLEMENTATION OF THE BOUNDARY ELEMENT METHOD TO TWO-DIMENSIONAL HEAT TRANSFER WITH THERMAL BRIDGE EFFECTS |
title_sort | implementation of the boundary element method to two dimensional heat transfer with thermal bridge effects |
topic | heat transfer boundary element method (BEM) temperature field thermal bridge Green’s function |
url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1933 |
work_keys_str_mv | AT michałtlewandowski implementationoftheboundaryelementmethodtotwodimensionalheattransferwiththermalbridgeeffects |