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A mass-conserved multiphase lattice Boltzmann method based on high-order difference
Authors:Zhang-Rong Qin  Yan-Yan Chen  Feng-Ru Ling  Ling-Juan Meng  Chao-Ying Zhang
Institution:Guangxi Collaborative Innovation Center of Multi-source Information Integration and Intelligent Processing
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
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