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Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model
Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model
Owing to its conceptual simplicity and computational efficiency, the pseudopotential multiphase lattice Boltzmann (LB) model has attracted significant attention since its emergence. In this work, we aim to extend the pseudopotential LB model to simulate multiphase flows at large density ratio and relatively high Reynolds number. First, based on our recent work [Q. Li, K. H. Luo, and X. J. Li, Phys. Rev. E 86, 016709 (2012)], an improved forcing scheme is proposed for the multiple-relaxation-time pseudopotential LB model in order to achieve thermodynamic consistency and large density ratio in the model. Next, through investigating the effects of the parameter a in the Carnahan-Starling equation of state, we find that the interface thickness is approximately proportional to 1/a?. Using a smaller a will lead to a wider interface thickness, which can reduce the spurious currents and enhance the numerical stability of the pseudopotential model at large density ratio. Furthermore, it is found that a lower liquid viscosity can be gained in the pseudopotential model by increasing the kinematic viscosity ratio between the vapor and liquid phases. The improved pseudopotential LB model is numerically validated via the simulations of stationary droplet and droplet oscillation. Using the improved model as well as the above treatments, numerical simulations of droplet splashing on a thin liquid film are conducted at a density ratio in excess of 500 with Reynolds numbers ranging from 40 to 1000. The dynamics of droplet splashing is correctly reproduced and the predicted spread radius is found to obey the power law reported in the literature
1539-3755
53301
Li, Q.
54e51d2b-808c-42f2-95bb-62b4110df4dd
Luo, K.H.
1c9be6c6-e956-4b12-af13-32ea855c69f3
Li, X.J.
8136f6d0-c925-4c57-82c0-ff7a3b4ff97a
Li, Q.
54e51d2b-808c-42f2-95bb-62b4110df4dd
Luo, K.H.
1c9be6c6-e956-4b12-af13-32ea855c69f3
Li, X.J.
8136f6d0-c925-4c57-82c0-ff7a3b4ff97a

Li, Q., Luo, K.H. and Li, X.J. (2013) Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model. Physical Review E, 87 (5), 53301. (doi:10.1103/PhysRevE.87.053301).

Record type: Article

Abstract

Owing to its conceptual simplicity and computational efficiency, the pseudopotential multiphase lattice Boltzmann (LB) model has attracted significant attention since its emergence. In this work, we aim to extend the pseudopotential LB model to simulate multiphase flows at large density ratio and relatively high Reynolds number. First, based on our recent work [Q. Li, K. H. Luo, and X. J. Li, Phys. Rev. E 86, 016709 (2012)], an improved forcing scheme is proposed for the multiple-relaxation-time pseudopotential LB model in order to achieve thermodynamic consistency and large density ratio in the model. Next, through investigating the effects of the parameter a in the Carnahan-Starling equation of state, we find that the interface thickness is approximately proportional to 1/a?. Using a smaller a will lead to a wider interface thickness, which can reduce the spurious currents and enhance the numerical stability of the pseudopotential model at large density ratio. Furthermore, it is found that a lower liquid viscosity can be gained in the pseudopotential model by increasing the kinematic viscosity ratio between the vapor and liquid phases. The improved pseudopotential LB model is numerically validated via the simulations of stationary droplet and droplet oscillation. Using the improved model as well as the above treatments, numerical simulations of droplet splashing on a thin liquid film are conducted at a density ratio in excess of 500 with Reynolds numbers ranging from 40 to 1000. The dynamics of droplet splashing is correctly reproduced and the predicted spread radius is found to obey the power law reported in the literature

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PhysRevE.87.053301 - Version of Record
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Published date: 3 May 2013
Organisations: Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 369463
URI: http://eprints.soton.ac.uk/id/eprint/369463
ISSN: 1539-3755
PURE UUID: 01f507d5-a355-4bf9-825b-2af404805fc8

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Date deposited: 26 Sep 2014 13:41
Last modified: 16 Dec 2019 20:23

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Contributors

Author: Q. Li
Author: K.H. Luo
Author: X.J. Li

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