A space-averaged model of branched structures
•We present an original space-averaged model for conservation laws in branched systems.•The system is modeled by one-dimensional equations along characteristic curves related to the initial geometry.•A geometric forcing term accounts for branching and diameter variations in a continuous way.•This mo...
Gespeichert in:
Veröffentlicht in: | Computers & structures 2015-01, Vol.146 (january), p.12-19 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 19 |
---|---|
container_issue | january |
container_start_page | 12 |
container_title | Computers & structures |
container_volume | 146 |
creator | Lopez, Diego de Langre, Emmanuel Michelin, Sébastien |
description | •We present an original space-averaged model for conservation laws in branched systems.•The system is modeled by one-dimensional equations along characteristic curves related to the initial geometry.•A geometric forcing term accounts for branching and diameter variations in a continuous way.•This model accurately predicts mass balance in a pipe network and momentum balance in a tree under wind loading.•The derivation of this model is general and can be of use in a large variety of branched systems.
Many biological systems and artificial structures are ramified, and present a high geometric complexity. In this work, we propose a space-averaged model of branched systems for conservation laws. From a one-dimensional description of the system, we show that the space-averaged problem is also one-dimensional, represented by characteristic curves, defined as streamlines of the space-averaged branch directions. The geometric complexity is then captured firstly by the characteristic curves, and secondly by an additional forcing term in the equations. This model is then applied to mass balance in a pipe network and momentum balance in a tree under wind loading. |
doi_str_mv | 10.1016/j.compstruc.2014.09.003 |
format | Article |
fullrecord | <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_01114972v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0045794914001965</els_id><sourcerecordid>1669851703</sourcerecordid><originalsourceid>FETCH-LOGICAL-c382t-864350f2c8bef86cc214c7c6774df1ecf2b61611fb0478183f89c36a451780973</originalsourceid><addsrcrecordid>eNqFkE1Lw0AQhhdRsFZ_gz3qIXEm2e7HsRS1QsGLnpftZNampE3dTQv-e9NWevU08PK8D8wrxD1CjoDqaZVTu96mLu4oLwBlDjYHKC_EAI22WVHI8lIMAOQ401baa3GT0goAlAQYiGwySltPnPk9R__F1WjdVtyM2jBaRL-hZZ8c3d0ucroVV8E3ie_-7lB8vjx_TGfZ_P31bTqZZ1SaosuMkuUYQkFmwcEoogIlaVJayyogUygWChViWIDUBk0ZjKVSeTlGbcDqcigeT96lb9w21msff1zrazebzN0hA0SUVhd77NmHE7uN7feOU-fWdSJuGr_hdpccKmVNL4ayR_UJpdimFDmc3QjuMKZbufOY7jCmA-vg2Jycmtx_va85ukQ1b4irOjJ1rmrrfx2_chJ_hg</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1669851703</pqid></control><display><type>article</type><title>A space-averaged model of branched structures</title><source>Access via ScienceDirect (Elsevier)</source><creator>Lopez, Diego ; de Langre, Emmanuel ; Michelin, Sébastien</creator><creatorcontrib>Lopez, Diego ; de Langre, Emmanuel ; Michelin, Sébastien</creatorcontrib><description>•We present an original space-averaged model for conservation laws in branched systems.•The system is modeled by one-dimensional equations along characteristic curves related to the initial geometry.•A geometric forcing term accounts for branching and diameter variations in a continuous way.•This model accurately predicts mass balance in a pipe network and momentum balance in a tree under wind loading.•The derivation of this model is general and can be of use in a large variety of branched systems.
Many biological systems and artificial structures are ramified, and present a high geometric complexity. In this work, we propose a space-averaged model of branched systems for conservation laws. From a one-dimensional description of the system, we show that the space-averaged problem is also one-dimensional, represented by characteristic curves, defined as streamlines of the space-averaged branch directions. The geometric complexity is then captured firstly by the characteristic curves, and secondly by an additional forcing term in the equations. This model is then applied to mass balance in a pipe network and momentum balance in a tree under wind loading.</description><identifier>ISSN: 0045-7949</identifier><identifier>EISSN: 1879-2243</identifier><identifier>DOI: 10.1016/j.compstruc.2014.09.003</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Balancing ; Branched ; Branched system ; Characteristic curves ; Complexity ; Computer simulation ; Conservation laws ; Flow-induced pruning ; Fluid mechanics ; Mathematical analysis ; Mathematical models ; Mechanics ; Networks ; Physics ; Pipe ; Space-averaged branching</subject><ispartof>Computers & structures, 2015-01, Vol.146 (january), p.12-19</ispartof><rights>2014 Elsevier Ltd</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c382t-864350f2c8bef86cc214c7c6774df1ecf2b61611fb0478183f89c36a451780973</citedby><cites>FETCH-LOGICAL-c382t-864350f2c8bef86cc214c7c6774df1ecf2b61611fb0478183f89c36a451780973</cites><orcidid>0000-0002-7238-5988</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.compstruc.2014.09.003$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttps://polytechnique.hal.science/hal-01114972$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Lopez, Diego</creatorcontrib><creatorcontrib>de Langre, Emmanuel</creatorcontrib><creatorcontrib>Michelin, Sébastien</creatorcontrib><title>A space-averaged model of branched structures</title><title>Computers & structures</title><description>•We present an original space-averaged model for conservation laws in branched systems.•The system is modeled by one-dimensional equations along characteristic curves related to the initial geometry.•A geometric forcing term accounts for branching and diameter variations in a continuous way.•This model accurately predicts mass balance in a pipe network and momentum balance in a tree under wind loading.•The derivation of this model is general and can be of use in a large variety of branched systems.
Many biological systems and artificial structures are ramified, and present a high geometric complexity. In this work, we propose a space-averaged model of branched systems for conservation laws. From a one-dimensional description of the system, we show that the space-averaged problem is also one-dimensional, represented by characteristic curves, defined as streamlines of the space-averaged branch directions. The geometric complexity is then captured firstly by the characteristic curves, and secondly by an additional forcing term in the equations. This model is then applied to mass balance in a pipe network and momentum balance in a tree under wind loading.</description><subject>Balancing</subject><subject>Branched</subject><subject>Branched system</subject><subject>Characteristic curves</subject><subject>Complexity</subject><subject>Computer simulation</subject><subject>Conservation laws</subject><subject>Flow-induced pruning</subject><subject>Fluid mechanics</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mechanics</subject><subject>Networks</subject><subject>Physics</subject><subject>Pipe</subject><subject>Space-averaged branching</subject><issn>0045-7949</issn><issn>1879-2243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNqFkE1Lw0AQhhdRsFZ_gz3qIXEm2e7HsRS1QsGLnpftZNampE3dTQv-e9NWevU08PK8D8wrxD1CjoDqaZVTu96mLu4oLwBlDjYHKC_EAI22WVHI8lIMAOQ401baa3GT0goAlAQYiGwySltPnPk9R__F1WjdVtyM2jBaRL-hZZ8c3d0ucroVV8E3ie_-7lB8vjx_TGfZ_P31bTqZZ1SaosuMkuUYQkFmwcEoogIlaVJayyogUygWChViWIDUBk0ZjKVSeTlGbcDqcigeT96lb9w21msff1zrazebzN0hA0SUVhd77NmHE7uN7feOU-fWdSJuGr_hdpccKmVNL4ayR_UJpdimFDmc3QjuMKZbufOY7jCmA-vg2Jycmtx_va85ukQ1b4irOjJ1rmrrfx2_chJ_hg</recordid><startdate>201501</startdate><enddate>201501</enddate><creator>Lopez, Diego</creator><creator>de Langre, Emmanuel</creator><creator>Michelin, Sébastien</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-7238-5988</orcidid></search><sort><creationdate>201501</creationdate><title>A space-averaged model of branched structures</title><author>Lopez, Diego ; de Langre, Emmanuel ; Michelin, Sébastien</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-864350f2c8bef86cc214c7c6774df1ecf2b61611fb0478183f89c36a451780973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Balancing</topic><topic>Branched</topic><topic>Branched system</topic><topic>Characteristic curves</topic><topic>Complexity</topic><topic>Computer simulation</topic><topic>Conservation laws</topic><topic>Flow-induced pruning</topic><topic>Fluid mechanics</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mechanics</topic><topic>Networks</topic><topic>Physics</topic><topic>Pipe</topic><topic>Space-averaged branching</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lopez, Diego</creatorcontrib><creatorcontrib>de Langre, Emmanuel</creatorcontrib><creatorcontrib>Michelin, Sébastien</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</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>Hyper Article en Ligne (HAL)</collection><jtitle>Computers & structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lopez, Diego</au><au>de Langre, Emmanuel</au><au>Michelin, Sébastien</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A space-averaged model of branched structures</atitle><jtitle>Computers & structures</jtitle><date>2015-01</date><risdate>2015</risdate><volume>146</volume><issue>january</issue><spage>12</spage><epage>19</epage><pages>12-19</pages><issn>0045-7949</issn><eissn>1879-2243</eissn><abstract>•We present an original space-averaged model for conservation laws in branched systems.•The system is modeled by one-dimensional equations along characteristic curves related to the initial geometry.•A geometric forcing term accounts for branching and diameter variations in a continuous way.•This model accurately predicts mass balance in a pipe network and momentum balance in a tree under wind loading.•The derivation of this model is general and can be of use in a large variety of branched systems.
Many biological systems and artificial structures are ramified, and present a high geometric complexity. In this work, we propose a space-averaged model of branched systems for conservation laws. From a one-dimensional description of the system, we show that the space-averaged problem is also one-dimensional, represented by characteristic curves, defined as streamlines of the space-averaged branch directions. The geometric complexity is then captured firstly by the characteristic curves, and secondly by an additional forcing term in the equations. This model is then applied to mass balance in a pipe network and momentum balance in a tree under wind loading.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruc.2014.09.003</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0002-7238-5988</orcidid></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0045-7949 |
ispartof | Computers & structures, 2015-01, Vol.146 (january), p.12-19 |
issn | 0045-7949 1879-2243 |
language | eng |
recordid | cdi_hal_primary_oai_HAL_hal_01114972v1 |
source | Access via ScienceDirect (Elsevier) |
subjects | Balancing Branched Branched system Characteristic curves Complexity Computer simulation Conservation laws Flow-induced pruning Fluid mechanics Mathematical analysis Mathematical models Mechanics Networks Physics Pipe Space-averaged branching |
title | A space-averaged model of branched structures |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T18%3A01%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20space-averaged%20model%20of%20branched%20structures&rft.jtitle=Computers%20&%20structures&rft.au=Lopez,%20Diego&rft.date=2015-01&rft.volume=146&rft.issue=january&rft.spage=12&rft.epage=19&rft.pages=12-19&rft.issn=0045-7949&rft.eissn=1879-2243&rft_id=info:doi/10.1016/j.compstruc.2014.09.003&rft_dat=%3Cproquest_hal_p%3E1669851703%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1669851703&rft_id=info:pmid/&rft_els_id=S0045794914001965&rfr_iscdi=true |