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...

Full description

Bibliographic Details
Main Author: MICHAŁ T. LEWANDOWSKI
Format: Article
Language:English
Published: Gdańsk University of Technology 2013-01-01
Series:TASK Quarterly
Subjects:
Online Access:https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1933
_version_ 1817984315395407872
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.
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