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Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows

Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows
Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows
The existing lattice Boltzmann models for incompressible multiphase flows are mostly constructed with two distribution functions: one is the order parameter distribution function, which is used to track the interface between different phases, and the other is the pressure distribution function for solving the velocity field. In this paper, it is shown that in these models the recovered momentum equation is inconsistent with the target one: an additional force is included in the recovered momentum equation. The additional force has the following features. First, it is proportional to the macroscopic velocity. Second, it is zero in every single-phase region but is nonzero in the interface. Therefore it can be interpreted as an interfacial force. To investigate the effects of the additional interfacial force, numerical simulations are carried out for the problem of Rayleigh-Taylor instability, droplet splashing on a thin liquid film, and the evolution of a falling droplet under gravity. Numerical results demonstrate that, with the increase of the velocity or the Reynolds number, the additional interfacial force will gradually have an important influence on the interface and affect the numerical accuracy
1539-3755
026704-[8pp]
Li, Q.
54e51d2b-808c-42f2-95bb-62b4110df4dd
Luo, K.H.
1c9be6c6-e956-4b12-af13-32ea855c69f3
Gao, Y.J.
a0993a8d-0509-4a39-8a78-a6ed700b07f3
He, Y.L.
1df9b2fa-2860-4148-821a-150bf42c60b4
Li, Q.
54e51d2b-808c-42f2-95bb-62b4110df4dd
Luo, K.H.
1c9be6c6-e956-4b12-af13-32ea855c69f3
Gao, Y.J.
a0993a8d-0509-4a39-8a78-a6ed700b07f3
He, Y.L.
1df9b2fa-2860-4148-821a-150bf42c60b4

Li, Q., Luo, K.H., Gao, Y.J. and He, Y.L. (2012) Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows. Physical Review E, 85 (2), 026704-[8pp]. (doi:10.1103/PhysRevE.85.026704).

Record type: Article

Abstract

The existing lattice Boltzmann models for incompressible multiphase flows are mostly constructed with two distribution functions: one is the order parameter distribution function, which is used to track the interface between different phases, and the other is the pressure distribution function for solving the velocity field. In this paper, it is shown that in these models the recovered momentum equation is inconsistent with the target one: an additional force is included in the recovered momentum equation. The additional force has the following features. First, it is proportional to the macroscopic velocity. Second, it is zero in every single-phase region but is nonzero in the interface. Therefore it can be interpreted as an interfacial force. To investigate the effects of the additional interfacial force, numerical simulations are carried out for the problem of Rayleigh-Taylor instability, droplet splashing on a thin liquid film, and the evolution of a falling droplet under gravity. Numerical results demonstrate that, with the increase of the velocity or the Reynolds number, the additional interfacial force will gradually have an important influence on the interface and affect the numerical accuracy

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Published date: 16 February 2012
Organisations: Bioengineering Group

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Local EPrints ID: 334450
URI: https://eprints.soton.ac.uk/id/eprint/334450
ISSN: 1539-3755
PURE UUID: 671391f6-e5e1-450d-b1dc-fba4b7e5a5e9

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Date deposited: 09 Mar 2012 11:33
Last modified: 16 Jul 2019 22:10

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