A direct force model for Galilean invariant lattice Boltzmann simulation of fluid-particle flows

Shi Tao, Qing He (), Baiman Chen (), Xiaoping Yang () and Simin Huang ()
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Shi Tao: Key Laboratory of Distributed Energy Systems of Guangdong Province, Dongguan University of Technology Dongguan 523808, P. R. China
Qing He: Key Laboratory of Distributed Energy Systems of Guangdong Province, Dongguan University of Technology Dongguan 523808, P. R. China
Baiman Chen: Key Laboratory of Distributed Energy Systems of Guangdong Province, Dongguan University of Technology Dongguan 523808, P. R. China
Xiaoping Yang: Key Laboratory of Distributed Energy Systems of Guangdong Province, Dongguan University of Technology Dongguan 523808, P. R. China
Simin Huang: 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), 2018, vol. 29, issue 03, 1-15

Abstract: The lattice Boltzmann method (LBM) has been widely used in the simulation of particulate flows involving complex moving boundaries. Due to the kinetic background of LBM, the bounce-back (BB) rule and the momentum exchange (ME) method can be easily applied to the solid boundary treatment and the evaluation of fluid–solid interaction force, respectively. However, recently it has been found that both the BB and ME schemes may violate the principle of Galilean invariance (GI). Some modified BB and ME methods have been proposed to reduce the GI error. But these remedies have been recognized subsequently to be inconsistent with Newton’s Third Law. Therefore, contrary to those corrections based on the BB and ME methods, a unified iterative approach is adopted to handle the solid boundary in the present study. Furthermore, a direct force (DF) scheme is proposed to evaluate the fluid–particle interaction force. The methods preserve the efficiency of the BB and ME schemes, and the performance on the accuracy and GI is verified and validated in the test cases of particulate flows with freely moving particles.

Keywords: Lattice Boltzmann method; particulate flow; force evaluation; Galilean invariance (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500213

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