Comparison of free-surface and conservative Allen–Cahn phase-field lattice Boltzmann method

Schwarzmeier C, Holzer M, Mitchell T, Lehmann M, Häusl F, Rüde U (2023)

Publication Language: English

Publication Type: Journal article

Publication year: 2023

Journal

Journal of Computational Physics Elsevier

Book Volume: 473

Article Number: 111753

DOI: 10.1016/j.jcp.2022.111753

Abstract

This study compares the free-surface lattice Boltzmann method (FSLBM) with the conservative Allen–Cahn phase-field lattice Boltzmann method (PFLBM) in their ability to model two-phase flows in which the behavior of the system is dominated by the heavy phase. Both models are introduced and their individual properties, strengths and weaknesses are thoroughly discussed. Six numerical benchmark cases were simulated with both models, including (i) a standing gravity and (ii) capillary wave, (iii) an unconfined rising gas bubble in liquid, (iv) a Taylor bubble in a cylindrical tube, and (v) the vertical and (vi) oblique impact of a drop into a pool of liquid. Comparing the simulation results with either analytical models or experimental data from the literature, four major observations were made. Firstly, the PFLBM selected was able to simulate flows purely governed by surface tension with reasonable accuracy. Secondly, the FSLBM, a sharp interface model, generally requires a lower resolution than the PFLBM, a diffuse interface model. However, in the limit case of a standing wave, this was not observed. Thirdly, in simulations of a bubble moving in a liquid, the FSLBM accurately predicted the bubble's shape and rise velocity with low computational resolution. Finally, the PFLBM's accuracy is found to be sensitive to the choice of the model's mobility parameter and interface width.

Authors with CRIS profile

Christoph Schwarzmeier Lehrstuhl für Informatik 10 (Systemsimulation) (LSS) Markus Holzer Lehrstuhl für Informatik 10 (Systemsimulation) (LSS) Ulrich Rüde Lehrstuhl für Informatik 10 (Systemsimulation) (LSS)

Involved external institutions

Universität Bayreuth DE Germany (DE) University of Queensland AU Australia (AU)

How to cite

APA:

Schwarzmeier, C., Holzer, M., Mitchell, T., Lehmann, M., Häusl, F., & Rüde, U. (2023). Comparison of free-surface and conservative Allen–Cahn phase-field lattice Boltzmann method. Journal of Computational Physics, 473. https://doi.org/10.1016/j.jcp.2022.111753

MLA:

Schwarzmeier, Christoph, et al. "Comparison of free-surface and conservative Allen–Cahn phase-field lattice Boltzmann method." Journal of Computational Physics 473 (2023).

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