A combined lattice BGK/level set method for immiscible two-phase flows

Type of Publication: Journal article
Author: Becker, Jürgen; Junk, Michael; Kehrwald, Dirk; Thömmes, Guido; Yang, Zhaoxia
Year of publication: 2009
Published in: Computers & Mathematics with Applications ; 58 (2009), 5. - pp. 950-964. - ISSN 0097-4943. - eISSN 0898-1221
DOI (citable link): https://dx.doi.org/10.1016/j.camwa.2009.02.005
Summary:
We present a lattice Boltzmann method (LBM) for simulating immiscible multi-phase flows which is based on a coupling of LBM with the level set method. The computation of immiscible flows using the LBM with BGK collision operator is done separately in each of the fluid domains and coupled at the interface by an appropriate boundary condition. In this way we preserve sharp interfaces between different fluid phases. We apply a new interface condition that represents the fluid mechanical jump conditions at the interface in the kinetic LBM framework. The level set method is applied to compute the evolution of the interface between fluids. Numerical results demonstrate the applicability of the method even in the presence of large viscosity and density ratios.
Subject (DDC): 510 Mathematics
Keywords: Lattice Boltzmann method, Level set method, Two-phase flow
Bibliography of Konstanz: Yes

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BECKER, Jürgen, Michael JUNK, Dirk KEHRWALD, Guido THÖMMES, Zhaoxia YANG, 2009. A combined lattice BGK/level set method for immiscible two-phase flows. In: Computers & Mathematics with Applications. 58(5), pp. 950-964. ISSN 0097-4943. eISSN 0898-1221. Available under: doi: 10.1016/j.camwa.2009.02.005

@article{Becker2009combi-831, title={A combined lattice BGK/level set method for immiscible two-phase flows}, year={2009}, doi={10.1016/j.camwa.2009.02.005}, number={5}, volume={58}, issn={0097-4943}, journal={Computers & Mathematics with Applications}, pages={950--964}, author={Becker, Jürgen and Junk, Michael and Kehrwald, Dirk and Thömmes, Guido and Yang, Zhaoxia} }

Junk, Michael Publ. in: Computers & Mathematics with Applications 58 (2009), 5, pp. 950-964 2011-03-22T17:49:02Z 2009 We present a lattice Boltzmann method (LBM) for simulating immiscible multi-phase flows which is based on a coupling of LBM with the level set method. The computation of immiscible flows using the LBM with BGK collision operator is done separately in each of the fluid domains and coupled at the interface by an appropriate boundary condition. In this way we preserve sharp interfaces between different fluid phases. We apply a new interface condition that represents the fluid mechanical jump conditions at the interface in the kinetic LBM framework. The level set method is applied to compute the evolution of the interface between fluids. Numerical results demonstrate the applicability of the method even in the presence of large viscosity and density ratios. terms-of-use Becker, Jürgen Yang, Zhaoxia A combined lattice BGK/level set method for immiscible two-phase flows Kehrwald, Dirk Junk, Michael Yang, Zhaoxia 2011-03-22T17:49:02Z Thömmes, Guido Kehrwald, Dirk Thömmes, Guido eng Becker, Jürgen

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