A mass-conserved multiphase lattice Boltzmann method based on high-order difference

doi:10.1088/1674-1056/ab6834

Abstract The Z-S-C multiphase lattice Boltzmann model [Zheng, Shu, and Chew (ZSC), J. Comput. Phys. 218, 353 (2006)] is favored due to its good stability, high efficiency, and large density ratio. However, in terms of mass conservation, this model is not satisfactory during the simulation computations. In this paper, a mass correction is introduced into the ZSC model to make up the mass leakage, while a high-order difference is used to calculate the gradient of the order parameter to improve the accuracy. To verify the improved model, several three-dimensional multiphase flow simulations are carried out, including a bubble in a stationary flow, the merging of two bubbles, and the bubble rising under buoyancy. The numerical simulations show that the results from the present model are in good agreement with those from previous experiments and simulations. The present model not only retains the good properties of the original ZSC model, but also achieves the mass conservation and higher accuracy.

Keywords: lattice Boltzmann method high-order difference mass conservation large density ratio

Received: 25 June 2019
Revised: 31 October 2019
Accepted manuscript online:

PACS:	47.11.-j	(Computational methods in fluid dynamics)
	05.50.+q	(Lattice theory and statistics)
	47.61.Jd	(Multiphase flows)
	02.70.Bf	(Finite-difference methods)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11862003 and 81860635), the Key Project of the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2017GXNSFDA198038), the Project of Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2018GXNSFAA281302), the Project for Promotion of Young and Middle-aged Teachers' Basic Scientific Research Ability in Guangxi Universities, China (Grant No. 2019KY0084), and the “Bagui Scholar” Teams for Innovation and Research Project of Guangxi Zhuang Autonomous Region, China, and the Graduate Innovation Program of Guangxi Normal University, China (Grant No. JXYJSKT-2019-007).

Corresponding Authors: Chao-Ying Zhang
E-mail: zhangcy@gxnu.edu.cn

Cite this article:

Zhang-Rong Qin(覃章荣), Yan-Yan Chen(陈燕雁), Feng-Ru Ling(凌风如), Ling-Juan Meng(孟令娟), Chao-Ying Zhang(张超英) A mass-conserved multiphase lattice Boltzmann method based on high-order difference 2020 Chin. Phys. B 29 034701

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A mass-conserved multiphase lattice Boltzmann method based on high-order difference

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