Lattice Boltzmann simulation of particle-laden flows using an improved curved boundary condition

Shasha Liu (), Taotao Zhou (), Shi Tao, Zhibin Wu () and Guang Yang ()
Additional contact information
Shasha Liu: School of Computer Science, Guangdong University of Science and Technology, Dongguan 523083, P. R. China
Taotao Zhou: #x2021;China Ship Development and Design Center, Wuhan 430064, P. R. China
Shi Tao: #x2020;Key Laboratory of Distributed Energy, Systems of Guangdong Province, Dongguan University of Technology, Dongguan 523808, P. R. China
Zhibin Wu: #x2020;Key Laboratory of Distributed Energy, Systems of Guangdong Province, Dongguan University of Technology, Dongguan 523808, P. R. China
Guang Yang: #x2020;Key Laboratory of Distributed Energy, Systems of Guangdong Province, Dongguan University of Technology, Dongguan 523808, P. R. China

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 06, 1-21

Abstract: In the application of the lattice Boltzmann method (LBM) for the simulation of the interface-resolved particulate flows, the bounce-back (BB) type rules have been widely adopted to handle the complex boundaries of moving particle. However, the original method cannot preserve the integrity of the particle shape, resulting in a low-resolution for the flow description near the solid boundary. Even though the subsequent modified BB scheme, i.e. the curved boundary condition (CBC), improves the overall accuracy, it generally loses the local-computation property of the simple BB. Therefore, a CBC is proposed in this paper, which maintains the two advantages of the second-order accuracy and local computation in the boundary treatment simultaneously. In the present scheme, information of only a single fluid point is needed. Furthermore, the relative distance between the fluid point and the boundary surface is involved, contributing to the second-order accuracy that is validated in the Poiseuille and cylindrical Couette flows. Particularly, it is found that the precision of the present scheme can be greatly improved with the nonequilibrium distribution functions of two directions included. Three more test cases of particle-laden flow, including particle migration in a channel, the sedimentation of a particle under gravity and the drafting-kissing-tumbling (DKT) dynamics of two settling particles, further demonstrate the feasibility and accuracy of the present scheme.

Keywords: Lattice Boltzmann method; curved boundary condition; single-node scheme; second-order accuracy; particle-laden flow (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183119500414

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