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Volume 35, Issue 5
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

Jiao Liu, Zhenhua Chai & Baochang Shi

DOI: 10.4208/cicp.OA-2023-0167

Commun. Comput. Phys., 35 (2024), pp. 1309-1326.

Published online: 2024-06

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  • Abstract

In this paper, an improved diffuse-interface lattice Boltzmann method for particulate flows is developed. In this method, the difference in viscosity between the fluid and the particle is considered, and a smooth function is introduced to the collision term of the evolution equation. Some simulations are performed to test the method, and the numerical results show that, compared to the previous diffusion-interface lattice Boltzmann method [J. Liu et al., Comput. Fluids 233 (2022) 105240] which only has a first-order accuracy in space, the present one has a second-order convergence rate in space.

  • Keywords

Diffuse-interface lattice Boltzmann method, particulate flows, convergence rate.

  • AMS Subject Headings

76M28, 76T25, 41A25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-35-1309, author = {Liu , JiaoChai , Zhenhua and Shi , Baochang}, title = {An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows}, journal = {Communications in Computational Physics}, year = {2024}, volume = {35}, number = {5}, pages = {1309--1326}, abstract = {

In this paper, an improved diffuse-interface lattice Boltzmann method for particulate flows is developed. In this method, the difference in viscosity between the fluid and the particle is considered, and a smooth function is introduced to the collision term of the evolution equation. Some simulations are performed to test the method, and the numerical results show that, compared to the previous diffusion-interface lattice Boltzmann method [J. Liu et al., Comput. Fluids 233 (2022) 105240] which only has a first-order accuracy in space, the present one has a second-order convergence rate in space.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2023-0167}, url = {http://global-sci.org/intro/article_detail/cicp/23193.html} }
TY - JOUR T1 - An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows AU - Liu , Jiao AU - Chai , Zhenhua AU - Shi , Baochang JO - Communications in Computational Physics VL - 5 SP - 1309 EP - 1326 PY - 2024 DA - 2024/06 SN - 35 DO - http://doi.org/10.4208/cicp.OA-2023-0167 UR - https://global-sci.org/intro/article_detail/cicp/23193.html KW - Diffuse-interface lattice Boltzmann method, particulate flows, convergence rate. AB -

In this paper, an improved diffuse-interface lattice Boltzmann method for particulate flows is developed. In this method, the difference in viscosity between the fluid and the particle is considered, and a smooth function is introduced to the collision term of the evolution equation. Some simulations are performed to test the method, and the numerical results show that, compared to the previous diffusion-interface lattice Boltzmann method [J. Liu et al., Comput. Fluids 233 (2022) 105240] which only has a first-order accuracy in space, the present one has a second-order convergence rate in space.

Liu , JiaoChai , Zhenhua and Shi , Baochang. (2024). An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows. Communications in Computational Physics. 35 (5). 1309-1326. doi:10.4208/cicp.OA-2023-0167
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