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A new stable finite volume method for predicting thermal performance of a whole building
Discretised governing equations involving only temperatures and heat fluxes at both surfaces of a solid wall layer were obtained by combining a new stable finite volume scheme for the two inner nodes of the wall layer with the surface diffusion equations (discretised by third order equations). The f...
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| Published in: | Building and environment 2008, Vol.43 (1), p.37-43 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c435t-e9c9d53e9998bec510c4d0931d493b802fc83114466d708df6ae9dad2edf6ca93 |
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| cites | cdi_FETCH-LOGICAL-c435t-e9c9d53e9998bec510c4d0931d493b802fc83114466d708df6ae9dad2edf6ca93 |
| container_end_page | 43 |
| container_issue | 1 |
| container_start_page | 37 |
| container_title | Building and environment |
| container_volume | 43 |
| creator | Luo, C. Moghtaderi, B. Sugo, H. Page, A. |
| description | Discretised governing equations involving only temperatures and heat fluxes at both surfaces of a solid wall layer were obtained by combining a new stable finite volume scheme for the two inner nodes of the wall layer with the surface diffusion equations (discretised by third order equations). The finite volume scheme for the inner nodes of the layer is proved to be stable with its truncation error being
O
(
Δ
x
4
,
Δ
x
2
Δ
t
2
)
. A special analytical solution for a solid wall was used to evaluate different schemes for the inner nodes, showing that the new proposed scheme performs better than all other schemes for time steps of 3600 and 600
s. Finally, this scheme was used to simulate a whole house and the predicted zonal air temperature, and surface temperatures agreed well with measured values. |
| doi_str_mv | 10.1016/j.buildenv.2006.11.037 |
| format | article |
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O
(
Δ
x
4
,
Δ
x
2
Δ
t
2
)
. A special analytical solution for a solid wall was used to evaluate different schemes for the inner nodes, showing that the new proposed scheme performs better than all other schemes for time steps of 3600 and 600
s. Finally, this scheme was used to simulate a whole house and the predicted zonal air temperature, and surface temperatures agreed well with measured values.</description><identifier>ISSN: 0360-1323</identifier><identifier>EISSN: 1873-684X</identifier><identifier>DOI: 10.1016/j.buildenv.2006.11.037</identifier><identifier>CODEN: BUENDB</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>air temperature ; Applied sciences ; Building technical equipments ; Buildings ; Buildings. Public works ; Computation methods. Tables. Charts ; Diffusion ; Energy management and energy conservation in building ; Environmental engineering ; Exact sciences and technology ; Finite difference method ; Finite volume method ; Fourier diffusion equation ; Fourier stability analysis ; Housing ; Q1 ; Residential areas ; Structural analysis. Stresses ; Temperature ; Thermal zone model</subject><ispartof>Building and environment, 2008, Vol.43 (1), p.37-43</ispartof><rights>2007 Elsevier Ltd</rights><rights>2008 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c435t-e9c9d53e9998bec510c4d0931d493b802fc83114466d708df6ae9dad2edf6ca93</citedby><cites>FETCH-LOGICAL-c435t-e9c9d53e9998bec510c4d0931d493b802fc83114466d708df6ae9dad2edf6ca93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=19088419$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Luo, C.</creatorcontrib><creatorcontrib>Moghtaderi, B.</creatorcontrib><creatorcontrib>Sugo, H.</creatorcontrib><creatorcontrib>Page, A.</creatorcontrib><title>A new stable finite volume method for predicting thermal performance of a whole building</title><title>Building and environment</title><description>Discretised governing equations involving only temperatures and heat fluxes at both surfaces of a solid wall layer were obtained by combining a new stable finite volume scheme for the two inner nodes of the wall layer with the surface diffusion equations (discretised by third order equations). The finite volume scheme for the inner nodes of the layer is proved to be stable with its truncation error being
O
(
Δ
x
4
,
Δ
x
2
Δ
t
2
)
. A special analytical solution for a solid wall was used to evaluate different schemes for the inner nodes, showing that the new proposed scheme performs better than all other schemes for time steps of 3600 and 600
s. Finally, this scheme was used to simulate a whole house and the predicted zonal air temperature, and surface temperatures agreed well with measured values.</description><subject>air temperature</subject><subject>Applied sciences</subject><subject>Building technical equipments</subject><subject>Buildings</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Diffusion</subject><subject>Energy management and energy conservation in building</subject><subject>Environmental engineering</subject><subject>Exact sciences and technology</subject><subject>Finite difference method</subject><subject>Finite volume method</subject><subject>Fourier diffusion equation</subject><subject>Fourier stability analysis</subject><subject>Housing</subject><subject>Q1</subject><subject>Residential areas</subject><subject>Structural analysis. Stresses</subject><subject>Temperature</subject><subject>Thermal zone model</subject><issn>0360-1323</issn><issn>1873-684X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNqNkU9P3DAQxa0KpC7Qr1D50t6SzsTexL6BUP9JSFxA4mZ57UnXqyRe7Owivn29LBVHehpL83sz4_cY-4xQI2D7bVOvdmHwNO3rBqCtEWsQ3Qe2QNWJqlXy4YQtQLRQoWjER3aW8waKUAu5YA9XfKInnme7Goj3YQoz8X0cdiPxkeZ19LyPiW8T-eDmMP3h85rSaAe-pVQ6o50c8dhzy5_WsYx4uaVwF-y0t0OmT6_1nN3_-H53_au6uf35-_rqpnJSLOeKtNN-KUhrrVbklghOetACvdRipaDpnRKIUrat70D5vrWkvfUNlaezWpyzr8e52xQfd5RnM4bsaBjsRHGXjQDdNSDVu2ADnWoQ_wcUooBQwPYIuhRzTtSbbQqjTc8GwRyiMRvzLxpziMYgmhJNEX553WCzs0Ofiokhv6k1KCXx8LfLI0fFwH2gZLILVAz3IZGbjY_hvVV_ATP3qJs</recordid><startdate>2008</startdate><enddate>2008</enddate><creator>Luo, C.</creator><creator>Moghtaderi, B.</creator><creator>Sugo, H.</creator><creator>Page, A.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>2008</creationdate><title>A new stable finite volume method for predicting thermal performance of a whole building</title><author>Luo, C. ; Moghtaderi, B. ; Sugo, H. ; Page, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c435t-e9c9d53e9998bec510c4d0931d493b802fc83114466d708df6ae9dad2edf6ca93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>air temperature</topic><topic>Applied sciences</topic><topic>Building technical equipments</topic><topic>Buildings</topic><topic>Buildings. Public works</topic><topic>Computation methods. Tables. Charts</topic><topic>Diffusion</topic><topic>Energy management and energy conservation in building</topic><topic>Environmental engineering</topic><topic>Exact sciences and technology</topic><topic>Finite difference method</topic><topic>Finite volume method</topic><topic>Fourier diffusion equation</topic><topic>Fourier stability analysis</topic><topic>Housing</topic><topic>Q1</topic><topic>Residential areas</topic><topic>Structural analysis. Stresses</topic><topic>Temperature</topic><topic>Thermal zone model</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Luo, C.</creatorcontrib><creatorcontrib>Moghtaderi, B.</creatorcontrib><creatorcontrib>Sugo, H.</creatorcontrib><creatorcontrib>Page, A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Building and environment</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Luo, C.</au><au>Moghtaderi, B.</au><au>Sugo, H.</au><au>Page, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new stable finite volume method for predicting thermal performance of a whole building</atitle><jtitle>Building and environment</jtitle><date>2008</date><risdate>2008</risdate><volume>43</volume><issue>1</issue><spage>37</spage><epage>43</epage><pages>37-43</pages><issn>0360-1323</issn><eissn>1873-684X</eissn><coden>BUENDB</coden><abstract>Discretised governing equations involving only temperatures and heat fluxes at both surfaces of a solid wall layer were obtained by combining a new stable finite volume scheme for the two inner nodes of the wall layer with the surface diffusion equations (discretised by third order equations). The finite volume scheme for the inner nodes of the layer is proved to be stable with its truncation error being
O
(
Δ
x
4
,
Δ
x
2
Δ
t
2
)
. A special analytical solution for a solid wall was used to evaluate different schemes for the inner nodes, showing that the new proposed scheme performs better than all other schemes for time steps of 3600 and 600
s. Finally, this scheme was used to simulate a whole house and the predicted zonal air temperature, and surface temperatures agreed well with measured values.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.buildenv.2006.11.037</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0360-1323 |
| ispartof | Building and environment, 2008, Vol.43 (1), p.37-43 |
| issn | 0360-1323 1873-684X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_30972048 |
| source | ScienceDirect Freedom Collection |
| subjects | air temperature Applied sciences Building technical equipments Buildings Buildings. Public works Computation methods. Tables. Charts Diffusion Energy management and energy conservation in building Environmental engineering Exact sciences and technology Finite difference method Finite volume method Fourier diffusion equation Fourier stability analysis Housing Q1 Residential areas Structural analysis. Stresses Temperature Thermal zone model |
| title | A new stable finite volume method for predicting thermal performance of a whole building |
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