Attainment of rigorous thermodynamic consistency and surface tension in single-component pseudopotential lattice Boltzmann models via a customized equation of state

Physical Review. E
Cheng PengOrlando M Ayala

Abstract

The lack of thermodynamic consistency is a well-recognized problem in the single-component pseudopotential lattice Boltzmann models which prevents them from replicating accurate liquid and vapor phase densities; i.e., current models remain unable to exactly match coexisting density values predicted by the associated thermodynamic model. Most of the previous efforts had attempted to solve this problem by introducing tuning parameters, whose determination required empirical trial and error until acceptable thermodynamic consistency was achieved. In this study, we show that the problem can be alternatively solved by properly designing customized equations of state (EOSs) that replace any cubic EOS of choice during the computation of effective mass used in Shan-Chen forces. A two-parameter cubic-shaped customized EOS is introduced. Contrary to previous efforts, customization parameters in the new EOS are nonempirical and are rather derived from solving the integral mechanical stability equation, which neglects the need for any type of tuning for the attainment of rigorous thermodynamic consistency. The proposed approach reduces the errors of the coexisting densities and saturated pressure in the simulation to a maximum of 0.01% wit...Continue Reading

References

Mar 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·X Shan, H Chen
Apr 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·X Shan, H Chen
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhaoli GuoBaochang Shi
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaowen Shan
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Q LiX J Li
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qing Li, K H Luo

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