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    Behavior of numerical error in pore-scale lattice Boltzmann simulations with simple bounce-back rule: Analysis and highly accurate extrapolation

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    Type
    Article
    Authors
    Khirevich, Siarhei cc
    Patzek, Tadeusz cc
    KAUST Department
    Ali I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
    Energy Resources and Petroleum Engineering
    Physical Science and Engineering (PSE) Division
    Date
    2018-09-14
    Online Publication Date
    2018-09-14
    Print Publication Date
    2018-09
    Permanent link to this record
    http://hdl.handle.net/10754/628723
    
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    Abstract
    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 Publishing
    Journal
    Physics of Fluids
    DOI
    10.1063/1.5042229
    Additional Links
    https://aip.scitation.org/doi/10.1063/1.5042229
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.5042229
    Scopus Count
    Collections
    Articles; Ali I. Al-Naimi Petroleum Engineering Research Center (ANPERC); Physical Science and Engineering (PSE) Division

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