Multipseudopotential interaction: a solution for thermodynamic inconsistency in pseudopotential lattice Boltzmann models

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sorush KhajeporBaixin Chen

Abstract

Pseudopotential lattice Boltzmann (LB) models have been recognized as efficient numerical tools to simulate complex fluid systems, including those at thermodynamic equilibrium states and with phase transitions. However, when the equation of state (EOS) of real fluids is implemented, the existing pseudopotential LB models suffer from thermodynamic inconsistency. This study presents a multipseudopotential interparticle interaction (MPI) scheme, which is fully consistent with thermodynamics and applicable to engineering applications. In this framework, multiple pseudopotentials are employed to represent dominant interaction potentials at different extents of the mean free path of particles. By simulating van der Waals and Carnahan-Starling fluids, it is demonstrated that the MPI scheme can correctly simulate the physical nature of two-phase systems on the lattice including the continuum predictions of liquid-vapor coexistence states and the sound speeds in liquid and vapor phases. It is also shown that the lattice interactions of the MPI scheme represent underlying molecular interactions as they vary in a broad range from strong short-distance repulsions to weak long-distance attractions during phase transitions. Consequently, the...Continue Reading

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Citations

Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ahad ZarghamiHarry Van den Akker
May 17, 2017·Physical Review. E·Ahad Zarghami, Harry E A Van den Akker
Apr 3, 2019·Physical Review. E·Rongzong HuangNikolaus A Adams
Aug 17, 2020·Physical Review. E·Kamil Pasieczynski, Baixin Chen
Jul 16, 2017·Physical Review. E·Binghai WenHaiping Fang
Aug 17, 2020·Physical Review. E·Binghai WenXiaowen Shan
Jun 17, 2018·Physical Review. E·Rongzong HuangNikolaus A Adams
Jul 18, 2021·Physical Review. E·Matteo LulliXiaowen Shan
Feb 6, 2020·The Journal of Physical Chemistry. B·Mohammad Bagher AsadiSohrab Zendehboudi

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