Lattice Boltzmann method for flows in porous and homogenous fluid domains coupled at the interface by stress jump
A numerical method was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical method is based on the lattice Boltzmann method for incompressible flow. A generalized model, which includes Brinkman term, Forcheimmer term and nonlinear convective term,...
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| Veröffentlicht in: | International journal for numerical methods in fluids 2009-06, Vol.60 (6), p.691-708 |
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| container_title | International journal for numerical methods in fluids |
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| creator | Bai, Huixing Yu, P. Winoto, S. H. Low, H. T. |
| description | A numerical method was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical method is based on the lattice Boltzmann method for incompressible flow. A generalized model, which includes Brinkman term, Forcheimmer term and nonlinear convective term, was used to govern the flow in the porous medium region. At the interface, a shear stress jump that includes the inertial effect was imposed for the lattice Boltzmann equation, together with a continuity of normal stress. The present method was implemented on three cases each of which has a porous medium partially occupying the flow region: channel flow, plug flow and lid‐driven cavity flow. The present results agree well with the analytical and/or the finite‐volume solutions. Copyright © 2008 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/fld.1913 |
| format | Article |
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Copyright © 2008 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0271-2091</identifier><identifier>EISSN: 1097-0363</identifier><identifier>DOI: 10.1002/fld.1913</identifier><identifier>CODEN: IJNFDW</identifier><language>eng</language><publisher>Chichester, UK: John Wiley & Sons, Ltd</publisher><subject>Computational fluid dynamics ; Computational methods in fluid dynamics ; Exact sciences and technology ; Flows through porous media ; Fluid dynamics ; Fluid flow ; Fluids ; Fundamental areas of phenomenology (including applications) ; interfacial boundary condition ; lattice Boltzmann method ; Lattices ; Mathematical analysis ; Mathematical models ; Nonhomogeneous flows ; Numerical analysis ; Physics ; porous medium ; stress jump ; Stresses</subject><ispartof>International journal for numerical methods in fluids, 2009-06, Vol.60 (6), p.691-708</ispartof><rights>Copyright © 2008 John Wiley & Sons, Ltd.</rights><rights>2009 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3663-3cddbf024d7a2116471d979a6c8b0408c9bdca56fe5c5cb58feafc51e0a73e003</citedby><cites>FETCH-LOGICAL-c3663-3cddbf024d7a2116471d979a6c8b0408c9bdca56fe5c5cb58feafc51e0a73e003</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Ffld.1913$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Ffld.1913$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27903,27904,45553,45554</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22097757$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Bai, Huixing</creatorcontrib><creatorcontrib>Yu, P.</creatorcontrib><creatorcontrib>Winoto, S. H.</creatorcontrib><creatorcontrib>Low, H. T.</creatorcontrib><title>Lattice Boltzmann method for flows in porous and homogenous fluid domains coupled at the interface by stress jump</title><title>International journal for numerical methods in fluids</title><addtitle>Int. J. Numer. Meth. Fluids</addtitle><description>A numerical method was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical method is based on the lattice Boltzmann method for incompressible flow. A generalized model, which includes Brinkman term, Forcheimmer term and nonlinear convective term, was used to govern the flow in the porous medium region. At the interface, a shear stress jump that includes the inertial effect was imposed for the lattice Boltzmann equation, together with a continuity of normal stress. The present method was implemented on three cases each of which has a porous medium partially occupying the flow region: channel flow, plug flow and lid‐driven cavity flow. The present results agree well with the analytical and/or the finite‐volume solutions. Copyright © 2008 John Wiley & Sons, Ltd.</description><subject>Computational fluid dynamics</subject><subject>Computational methods in fluid dynamics</subject><subject>Exact sciences and technology</subject><subject>Flows through porous media</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>interfacial boundary condition</subject><subject>lattice Boltzmann method</subject><subject>Lattices</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nonhomogeneous flows</subject><subject>Numerical analysis</subject><subject>Physics</subject><subject>porous medium</subject><subject>stress jump</subject><subject>Stresses</subject><issn>0271-2091</issn><issn>1097-0363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp1kMFu1DAQQC0EEktB4hN8QeKSYscbOzlCoQtVVA6AerQm9ph1ceLUdlSWryerrsqJ02ikN0-jR8hrzs45Y_U7F-w577h4QjacdapiQoqnZMNqxauadfw5eZHzLWOsq1uxIXc9lOIN0g8xlD8jTBMdseyjpS4m6kK8z9RPdI4pLpnCZOk-jvEnTsfVhcVbauMIfsrUxGUOaCkUWva4XhVMDlb1cKC5JMyZ3i7j_JI8cxAyvjrNM_Lj8tP3i89V_3X35eJ9XxkhpaiEsXZwrN5aBTXncqu47VQH0rQD27LWdIM10EiHjWnM0LQOwZmGIwMlkDFxRt4-eOcU7xbMRY8-GwwBJlyf11wqXqtWdtt_qEkx54ROz8mPkA6aM32sqteq-lh1Rd-crJANBJdgMj4_8vWaWKlGrVz1wN37gIf_-vRl__HkPfE-F_z9yEP6paUSqtE31zt99e2mba77K70TfwGUM5bB</recordid><startdate>20090630</startdate><enddate>20090630</enddate><creator>Bai, Huixing</creator><creator>Yu, P.</creator><creator>Winoto, S. 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H.</au><au>Low, H. T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lattice Boltzmann method for flows in porous and homogenous fluid domains coupled at the interface by stress jump</atitle><jtitle>International journal for numerical methods in fluids</jtitle><addtitle>Int. J. Numer. Meth. Fluids</addtitle><date>2009-06-30</date><risdate>2009</risdate><volume>60</volume><issue>6</issue><spage>691</spage><epage>708</epage><pages>691-708</pages><issn>0271-2091</issn><eissn>1097-0363</eissn><coden>IJNFDW</coden><abstract>A numerical method was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical method is based on the lattice Boltzmann method for incompressible flow. A generalized model, which includes Brinkman term, Forcheimmer term and nonlinear convective term, was used to govern the flow in the porous medium region. 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| identifier | ISSN: 0271-2091 |
| ispartof | International journal for numerical methods in fluids, 2009-06, Vol.60 (6), p.691-708 |
| issn | 0271-2091 1097-0363 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Computational fluid dynamics Computational methods in fluid dynamics Exact sciences and technology Flows through porous media Fluid dynamics Fluid flow Fluids Fundamental areas of phenomenology (including applications) interfacial boundary condition lattice Boltzmann method Lattices Mathematical analysis Mathematical models Nonhomogeneous flows Numerical analysis Physics porous medium stress jump Stresses |
| title | Lattice Boltzmann method for flows in porous and homogenous fluid domains coupled at the interface by stress jump |
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