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Volume 33, Issue 1
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows

S. A. Hosseini, B. Dorschner & I. V. Karlin

DOI: 10.4208/cicp.OA-2022-0032

Commun. Comput. Phys., 33 (2023), pp. 39-56.

Published online: 2023-02

[An open-access article; the PDF is free to any online user.]

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  • Abstract

We propose a multiple relaxation time entropic realization of a recent two-phase flow lattice Boltzmann model [S.A. Hosseini, B. Dorschner, and I. V. Karlin, Journal of Fluid Mechanics 953 (2022)]. While the original model with a single relaxation time allows us to reach large density ratios, it is limited in terms of stability with respect to non-dimensional viscosity and velocity. Here we show that the entropic multiple relaxation time model extends the stability limits of the model significantly, which allows us to reach larger Reynolds numbers for a given grid resolution. The thermodynamic properties of the solver, using the Peng–Robinson equation of state, are studied first using simple configurations. Co-existence densities and temperature scaling of both the interface thickness and the surface tension are shown to agree well with theory. The model is then used to simulate the impact of a drop onto a thin liquid film with density and viscosity ratios matching those of water and air both in two and three dimensions. The results are in very good agreement with theoretically predicted scaling laws and experimental data.

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  • Keywords

Lattice Boltzmann method, two-phase flows, entropic multiple relaxation time.

  • AMS Subject Headings

7610, 76T10, 76D45

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-33-39, author = {Hosseini , S. A.Dorschner , B. and Karlin , I. V.}, title = {Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {39--56}, abstract = {

We propose a multiple relaxation time entropic realization of a recent two-phase flow lattice Boltzmann model [S.A. Hosseini, B. Dorschner, and I. V. Karlin, Journal of Fluid Mechanics 953 (2022)]. While the original model with a single relaxation time allows us to reach large density ratios, it is limited in terms of stability with respect to non-dimensional viscosity and velocity. Here we show that the entropic multiple relaxation time model extends the stability limits of the model significantly, which allows us to reach larger Reynolds numbers for a given grid resolution. The thermodynamic properties of the solver, using the Peng–Robinson equation of state, are studied first using simple configurations. Co-existence densities and temperature scaling of both the interface thickness and the surface tension are shown to agree well with theory. The model is then used to simulate the impact of a drop onto a thin liquid film with density and viscosity ratios matching those of water and air both in two and three dimensions. The results are in very good agreement with theoretically predicted scaling laws and experimental data.

视频.mp4

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0032}, url = {http://global-sci.org/intro/article_detail/cicp/21424.html} }
TY - JOUR T1 - Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows AU - Hosseini , S. A. AU - Dorschner , B. AU - Karlin , I. V. JO - Communications in Computational Physics VL - 1 SP - 39 EP - 56 PY - 2023 DA - 2023/02 SN - 33 DO - http://doi.org/10.4208/cicp.OA-2022-0032 UR - https://global-sci.org/intro/article_detail/cicp/21424.html KW - Lattice Boltzmann method, two-phase flows, entropic multiple relaxation time. AB -

We propose a multiple relaxation time entropic realization of a recent two-phase flow lattice Boltzmann model [S.A. Hosseini, B. Dorschner, and I. V. Karlin, Journal of Fluid Mechanics 953 (2022)]. While the original model with a single relaxation time allows us to reach large density ratios, it is limited in terms of stability with respect to non-dimensional viscosity and velocity. Here we show that the entropic multiple relaxation time model extends the stability limits of the model significantly, which allows us to reach larger Reynolds numbers for a given grid resolution. The thermodynamic properties of the solver, using the Peng–Robinson equation of state, are studied first using simple configurations. Co-existence densities and temperature scaling of both the interface thickness and the surface tension are shown to agree well with theory. The model is then used to simulate the impact of a drop onto a thin liquid film with density and viscosity ratios matching those of water and air both in two and three dimensions. The results are in very good agreement with theoretically predicted scaling laws and experimental data.

视频.mp4

S. A. Hosseini, B. Dorschner & I. V. Karlin. (2023). Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows. Communications in Computational Physics. 33 (1). 39-56. doi:10.4208/cicp.OA-2022-0032
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