In the present study, a numerical model based on the lattice Boltzmann method (LBM) is proposed to simulate multiphase mass transfer, referred to as the CST-LB model. This model introduced continuum species transfer (CST) formulation by an additional collision term to model the mass transfer across the multiphase interface. The boundary condition treatment of this model is also discussed. In order to verify the applicability, the CST-LB model is combined with the pseudopotential multiphase model to simulate a series of benchmark cases, including concentration jump near the interface, gas dissolution in a closed system, species transport during drainage in a capillary tube, and multiphase species transport in the porous media. This CST-LB model can also be coupled with other multiphase LBMs since the model depends on the phase fraction field, which is not explicitly limited to specified multiphase models.

中文翻译：

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多相系统中界面传质的格子 Boltzmann 模型

在本研究中，提出了一种基于格子 Boltzmann 方法 (LBM) 的数值模型来模拟多相传质，称为 CST-LB 模型。该模型通过额外的碰撞项引入了连续物质传递 (CST) 公式，以模拟跨多相界面的质量传递。还讨论了该模型的边界条件处理。为验证适用性，将CST-LB模型与赝势多相模型相结合，模拟了界面附近浓度跃变、封闭系统内气体溶解、毛细管排水过程中的物质输运等一系列基准案例，和多孔介质中的多相物质传输。该 CST-LB 模型还可以与其他多相 LBM 耦合，因为该模型取决于相分数场，