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Phase-field-based lattice Boltzmann model for immiscible incompressible N-phase flows.
Physical Review E ( IF 2.4 ) Pub Date : 2020-06-30 , DOI: 10.1103/physreve.101.063310 Xiaolei Yuan 1, 2 , Hong Liang 3 , Zhenhua Chai 1, 2 , Baochang Shi 1, 2
Physical Review E ( IF 2.4 ) Pub Date : 2020-06-30 , DOI: 10.1103/physreve.101.063310 Xiaolei Yuan 1, 2 , Hong Liang 3 , Zhenhua Chai 1, 2 , Baochang Shi 1, 2
Affiliation
In this paper, we develop an efficient and alternative lattice Boltzmann (LB) model for simulating immiscible incompressible -phase flows based on the Cahn-Hilliard phase field theory. In order to facilitate the design of LB model and reduce the calculation of the gradient term, the governing equations of the -phase system are reformulated, and they satisfy the conservation of mass, momentum and the second law of thermodynamics. In the present model, LB equations are employed to capture the interface, and another LB equation is used to solve the Navier-Stokes (N-S) equations, where a new distribution function for the total force is delicately designed to reduce the calculation of the gradient term. The developed model is first validated by two classical benchmark problems, including the tests of static droplets and the spreading of a liquid lens, the simulation results show that the current LB model is accurate and efficient for simulating incompressible -phase fluid flows. To further demonstrate the capability of the LB model, two numerical simulations, including dynamics of droplet collision for four fluid phases and dynamics of droplets and interfaces for five fluid phases, are performed to test the developed model. The results show that the present model can successfully handle complex interactions among immiscible incompressible flows.
中文翻译:
基于相场的格子Boltzmann模型用于不可压缩的N相流。
在本文中,我们开发了一种有效的替代格子Boltzmann(LB)模型来模拟不可混溶的不可压缩 相流 基于Cahn-Hilliard相场理论。为了便于LB模型的设计并减少梯度项的计算,控制方程重新设计了两相系统,它们满足质量守恒,动量守恒和热力学第二定律。在目前的模型中LB方程用于捕获界面,另一个LB方程用于求解Navier-Stokes(NS)方程,其中精心设计了新的总力分布函数以减少梯度项的计算。首先通过两个经典的基准问题验证了所开发的模型,包括静态液滴的测试和液体透镜的扩散,仿真结果表明,当前的LB模型对于模拟不可压缩的物体是准确而有效的。相流体流动。为了进一步证明LB模型的功能,执行了两个数值模拟,包括四个流体相的液滴碰撞动力学以及五个流体相的液滴和界面动力学,以测试开发的模型。结果表明,该模型可以成功处理复杂的交互作用 不可混合的不可压缩的流动。
更新日期:2020-06-30
中文翻译:
基于相场的格子Boltzmann模型用于不可压缩的N相流。
在本文中,我们开发了一种有效的替代格子Boltzmann(LB)模型来模拟不可混溶的不可压缩 相流 基于Cahn-Hilliard相场理论。为了便于LB模型的设计并减少梯度项的计算,控制方程重新设计了两相系统,它们满足质量守恒,动量守恒和热力学第二定律。在目前的模型中LB方程用于捕获界面,另一个LB方程用于求解Navier-Stokes(NS)方程,其中精心设计了新的总力分布函数以减少梯度项的计算。首先通过两个经典的基准问题验证了所开发的模型,包括静态液滴的测试和液体透镜的扩散,仿真结果表明,当前的LB模型对于模拟不可压缩的物体是准确而有效的。相流体流动。为了进一步证明LB模型的功能,执行了两个数值模拟,包括四个流体相的液滴碰撞动力学以及五个流体相的液滴和界面动力学,以测试开发的模型。结果表明,该模型可以成功处理复杂的交互作用 不可混合的不可压缩的流动。