Behavior of numerical error in pore-scale lattice Boltzmann simulations with simple bounce-back rule: Analysis and highly accurate extrapolation
Type
ArticleAuthors
Khirevich, Siarhei
Patzek, Tadeusz

KAUST Department
Ali I. Al-Naimi Petroleum Engineering Research Center (ANPERC)Energy Resources and Petroleum Engineering
Physical Science and Engineering (PSE) Division
Date
2018-09-14Online Publication Date
2018-09-14Print Publication Date
2018-09Permanent link to this record
http://hdl.handle.net/10754/628723
Metadata
Show full item recordAbstract
We 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.Citation
Khirevich 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.Sponsors
We 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.Publisher
AIP PublishingJournal
Physics of FluidsAdditional Links
https://aip.scitation.org/doi/10.1063/1.5042229ae974a485f413a2113503eed53cd6c53
10.1063/1.5042229