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Impact of the kinetic boundary condition on porous media flow in the lattice Boltzmann formulation
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Singh, Shiwani, Jiang, Fei and Tsuji, Takeshi (2017) Impact of the kinetic boundary condition on porous media flow in the lattice Boltzmann formulation. Physical Review E, 96 (1). 013303. doi:10.1103/PhysRevE.96.013303 ISSN 2470-0045.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.96.013303
Abstract
To emphasize the importance of the kinetic boundary condition for micro- to nanoscale flow, we present an ad hoc kinetic boundary condition suitable for torturous geological porous media. We found that the kinetic boundary condition is one of the essential features which should be supplemented to the standard lattice Boltzmann scheme in order to obtain accurate continuum observables. The claim is validated using a channel flow setup by showing the agreement of mass flux with analytical value. Further, using a homogeneous porous structure, the importance of the kinetic boundary condition is shown by comparing the permeability correction factor with the analytical value. Finally, the proposed alternate to the kinetic boundary condition is validated by showing its capability to capture the basic feature of the kinetic boundary condition.
| Item Type: | Journal Article | |||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||
| Library of Congress Subject Headings (LCSH): | Lattice Boltzmann methods, Computational fluid dynamics, Computational fluid dynamics -- -- Mathematical models | |||||||||||||||
| Journal or Publication Title: | Physical Review E | |||||||||||||||
| Publisher: | American Physical Society | |||||||||||||||
| ISSN: | 2470-0045 | |||||||||||||||
| Official Date: | 7 July 2017 | |||||||||||||||
| Dates: |
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| Volume: | 96 | |||||||||||||||
| Number: | 1 | |||||||||||||||
| Article Number: | 013303 | |||||||||||||||
| DOI: | 10.1103/PhysRevE.96.013303 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Reuse Statement (publisher, data, author rights): | © 2017 American Physical Society | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
| Date of first compliant deposit: | 21 November 2019 | |||||||||||||||
| Date of first compliant Open Access: | 21 November 2019 | |||||||||||||||
| RIOXX Funder/Project Grant: |
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