Axisymmetric multiphase lattice Boltzmann method

A lattice Boltzmann method for axisymmetric multiphase flows is presented and validated. The method is capable of accurately modeling flows with variable density. We develop the classic Shan-Chen multiphase model [ Phys. Rev. E 47 1815 (1993)] for axisymmetric flows. The model can be used to efficie...

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Bibliographic Details
Published in:arXiv.org 2013-10
Main Authors: Srivastava, Sudhir, Prasad Perlekar, Jan H M ten Thije Boonkkamp, Verma, Nishith, Toschi, Federico
Format: Article
Language:English
Subjects:
Axisymmetric flow
Mathematical models
Model accuracy
Multiphase flow
Online Access:Get full text
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Summary:A lattice Boltzmann method for axisymmetric multiphase flows is presented and validated. The method is capable of accurately modeling flows with variable density. We develop the classic Shan-Chen multiphase model [ Phys. Rev. E 47 1815 (1993)] for axisymmetric flows. The model can be used to efficiently simulate single and multiphase flows. The convergence to the axisymmetric Navier-Stokes equations is demonstrated analytically by means of a Chapmann-Enskog expansion and numerically through several test cases. In particular, the model is benchmarked for its accuracy in reproducing the dynamics of the oscillations of an axially symmetric droplet and on the capillary breakup of a viscous liquid thread. Very good quantitative agreement between the numerical solutions and the analytical results is observed.
ISSN:2331-8422
DOI:10.48550/arxiv.1310.1871