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dc.contributor.authorKhirevich, Siarhei
dc.contributor.authorPatzek, Tadeusz
dc.date.accessioned2018-09-16T12:40:28Z
dc.date.available2018-09-16T12:40:28Z
dc.date.issued2018-09-14
dc.identifier.citationKhirevich S, Patzek TW (2018) Behavior of numerical error in pore-scale lattice Boltzmann simulations with simple bounce-back rule: Analysis and highly accurate extrapolation. Physics of Fluids 30: 093604. Available: http://dx.doi.org/10.1063/1.5042229.
dc.identifier.issn1070-6631
dc.identifier.issn1089-7666
dc.identifier.doi10.1063/1.5042229
dc.identifier.urihttp://hdl.handle.net/10754/628723
dc.description.abstractWe perform the viscosity-independent Stokes flow simulations in regular sphere packings using the two-relaxation-times (TRT) lattice Boltzmann method (LBM) with the simple bounce-back (BB) rule. Our special discretization procedure reduces the scatter in integral quantities, such as drag force, and quantifies the solution convergence error. We assume transition to linear (−1) convergence rate for different sets of TRT parameters and use this assumption to provide a simple extrapolation scheme. After establishing the accurate reference values of drag for a wide range of porosities, 0.26–0.78, we show a ten-fold decrease in the drag error using the suggested extrapolations. This error decrease allows the simple LBM/BB scheme to reach an accuracy of the high-order interpolated boundary schemes. The suggested extrapolation approach is straightforward to apply in porous media, whose pore space can be discretized at several resolutions.
dc.description.sponsorshipWe are grateful for the allocation of computational resources by the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.
dc.publisherAIP Publishing
dc.relation.urlhttps://aip.scitation.org/doi/10.1063/1.5042229
dc.rightsThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Physics of Fluids and may be found at http://doi.org/10.1063/1.5042229.
dc.titleBehavior of numerical error in pore-scale lattice Boltzmann simulations with simple bounce-back rule: Analysis and highly accurate extrapolation
dc.typeArticle
dc.contributor.departmentAli I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
dc.contributor.departmentEnergy Resources and Petroleum Engineering
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalPhysics of Fluids
dc.eprint.versionPublisher's Version/PDF
kaust.personKhirevich, Siarhei
kaust.personPatzek, Tadeusz
refterms.dateFOA2018-09-16T13:22:59Z
dc.date.published-online2018-09-14
dc.date.published-print2018-09


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