Improved forcing scheme in pseudopotential lattice Boltzmann methods for multiphase flow at arbitrarily high density ratios

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Daniel Lycett-Brown, Kai H Luo

Abstract

The pseudopotential lattice Boltzmann method has been widely used to simulate many multiphase flow applications. However, there still exist problems with reproducing realistic values of density ratio and surface tension. In this study, a higher-order analysis of a general forcing term is derived. A forcing scheme is then constructed for the pseudopotential method that is able to accurately reproduce the full range of coexistence curves. As a result, multiphase flow of arbitrarily high density ratios independent of the surface tension can be simulated. Furthermore, the interface width can be tuned to allow for grid refinement and systematic error reduction. Numerical results confirm that the proposed scheme enables independent control of density ratio, surface tension, and interface width simultaneously.

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Citations

Jan 20, 2018·Physical Review. E·Linlin Fei, Kai Hong Luo
Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ahad ZarghamiHarry Van den Akker
Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ali Mazloomi MIliya V Karlin
Nov 28, 2019·Physical Review. E·Rongzong HuangNikolaus A Adams
Oct 21, 2020·Physical Review. E·L E CzelusniakAlexander J Wagner
Jan 21, 2021·Physical Review. E·Bart Postma, Goncalo Silva
Jun 28, 2019·Langmuir : the ACS Journal of Surfaces and Colloids·Yi Ran Zhang, Kai H Luo
Aug 31, 2021·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Kai H LuoGeng Wang

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