Eulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary
We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time-marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when...
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| Veröffentlicht in: | European journal of physics 2009-04, Vol.171 (1), p.3-8 |
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| container_title | European journal of physics |
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| creator | Lee, T. Leaf, G. K. |
| description | We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time-marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when second-order accuracy in time and space is desired, although high-order accurate boundary conditions can be constructed on more grid-point support. The Eulerian description also provides an analytical framework for several different interpolation-based boundary conditions. For instance, the semi-Lagrangian, linear interpolation boundary condition is found to be a first-order upwind discretization that changes the time-marching schemes from implicit to explicit as the distance between the fluid boundary node and the solid boundary increases. |
| doi_str_mv | 10.1140/epjst/e2009-01004-0 |
| format | Article |
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K.</creatorcontrib><creatorcontrib>Argonne National Lab. (ANL), Argonne, IL (United States)</creatorcontrib><title>Eulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary</title><title>European journal of physics</title><addtitle>Eur. Phys. J. Spec. Top</addtitle><description>We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time-marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when second-order accuracy in time and space is desired, although high-order accurate boundary conditions can be constructed on more grid-point support. The Eulerian description also provides an analytical framework for several different interpolation-based boundary conditions. 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K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-eb2bf49c42425c2207bdbd41780a194a7a3256388d6376808abfa2834a7d8e063</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>ACCURACY</topic><topic>Atomic</topic><topic>BOLTZMANN EQUATION</topic><topic>BOUNDARY CONDITIONS</topic><topic>Classical and Continuum Physics</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>Classical statistical mechanics</topic><topic>Condensed Matter Physics</topic><topic>Exact sciences and technology</topic><topic>INTERPOLATION</topic><topic>Materials Science</topic><topic>Measurement Science and Instrumentation</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>SIMULATION</topic><topic>Statistical mechanics of classical fluids</topic><topic>Statistical physics, thermodynamics, and nonlinear dynamical systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, T.</creatorcontrib><creatorcontrib>Leaf, G. K.</creatorcontrib><creatorcontrib>Argonne National Lab. (ANL), Argonne, IL (United States)</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>European journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, T.</au><au>Leaf, G. K.</au><aucorp>Argonne National Lab. (ANL), Argonne, IL (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Eulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary</atitle><jtitle>European journal of physics</jtitle><stitle>Eur. Phys. J. Spec. Top</stitle><date>2009-04-01</date><risdate>2009</risdate><volume>171</volume><issue>1</issue><spage>3</spage><epage>8</epage><pages>3-8</pages><issn>1951-6355</issn><issn>0143-0807</issn><eissn>1951-6401</eissn><eissn>1361-6404</eissn><abstract>We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time-marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when second-order accuracy in time and space is desired, although high-order accurate boundary conditions can be constructed on more grid-point support. The Eulerian description also provides an analytical framework for several different interpolation-based boundary conditions. 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| identifier | ISSN: 1951-6355 |
| ispartof | European journal of physics, 2009-04, Vol.171 (1), p.3-8 |
| issn | 1951-6355 0143-0807 1951-6401 1361-6404 |
| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; SpringerLink Journals - AutoHoldings |
| subjects | ACCURACY Atomic BOLTZMANN EQUATION BOUNDARY CONDITIONS Classical and Continuum Physics CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical statistical mechanics Condensed Matter Physics Exact sciences and technology INTERPOLATION Materials Science Measurement Science and Instrumentation Molecular Optical and Plasma Physics Physics Physics and Astronomy SIMULATION Statistical mechanics of classical fluids Statistical physics, thermodynamics, and nonlinear dynamical systems |
| title | Eulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary |
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