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A mass-conserving axisymmetric multiphase lattice Boltzmann method and its application in simulation of bubble rising

Haibo Huang, Jun-Jie Huang, Xi-Yun Lu
2014 Journal of Computational Physics  
In this paper, based on the multiphase model (He et al., 1999 [1]), a mass-conserving axisymmetric multiphase lattice Boltzmann model is developed.  ...  In many lattice Boltzmann studies about bubble rising, mass conservation is not satisfactory and the terminal bubble rising shape or velocity is not so consistent with experimental data as those obtained  ...  It is also supported by Program for New Century Excellent Talents in University (NCET-12-0506), Ministry of Education, China.  ... 
doi:10.1016/j.jcp.2014.03.028 fatcat:fa4zppxu3bdyhaml5l3v7swcpu

Lattice Boltzmann Computations of Transport Processes in Complex Hydrodynamics Systems [chapter]

Zhiqiang Dong, Weizhong Li, Yongchen Song, Fangming Jiang
2011 Hydrodynamics - Optimizing Methods and Tools  
In combination with a lattice Boltzmann thermal model, the lattice Boltzmann multiphase model being capable of handling a large density ratio between phases is extended to describe the phenomenon of phase  ...  Recently, the lattice Boltzmann method (LBM) became a popular tool to simulate the incompressible viscous flows due to its merits like the ease of boundary treatment and the parallel implementation.  ...  Lattice Boltzmann Computations of Transport Processes in Complex Hydrodynamics Systems, Hydrodynamics -Optimizing Methods and Tools, Prof.  ... 
doi:10.5772/30668 fatcat:zpqwcynyqjgidh6y63h6v2cexy

Axisymmetric lattice Boltzmann model for multiphase flows with large density ratio [article]

Hong Liang, Yang Li, Jiangxing Chen, Jiangrong Xu
2018 arXiv   pre-print
In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field theory is proposed for simulating axisymmetric multiphase flows.  ...  A series of numerical examples, including static droplet, oscillation of a viscous droplet, breakup of a liquid thread, and bubble rising in a continuous phase, are used to test the performance of the  ...  They applied this model to the simulation of bubble rising, and found rather good agreement with experiments.  ... 
arXiv:1810.09299v1 fatcat:imgutpeqbbek5iwgtuppxhrlpq

A brief review of the phase-field-based lattice Boltzmann method for multiphase flows

Huili Wang, Xiaolei Yuan, Hong Liang, Zhenhua Chai, Baochang Shi
2019 Capillarity  
In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method (LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems.  ...  Finally, some applications of the phase-field-based LBM are also discussed.  ...  Open Access This article is distributed under the terms and conditions of the Creative Commons Attribution (CC BY-NC-ND) license, which permits unrestricted use, distribution, and reproduction in any medium  ... 
doi:10.26804/capi.2019.03.01 fatcat:5u44i3ih75dcfiikdckcnrmgri

Multiphase lattice Boltzmann simulations for porous media applications -- a review [article]

Haihu Liu, Qinjun Kang, Christopher R. Leonardi, Sebastian Schmieschek, Ariel Narváez, Bruce D. Jones, John R. Williams, Albert J. Valocchi, Jens Harting
2016 arXiv   pre-print
In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which  ...  Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media.  ...  Acknowledgements We thank Vahid Joekar Niasar and Cor van Kruijsdijk for the organisation of the workshop on "(sub) pore-scale modeling of multiphase flow and transport in porous media" which took place  ... 
arXiv:1404.7523v2 fatcat:vnmkcogmtzeqdjavoa4j6ulkju

Multiphase lattice Boltzmann simulations for porous media applications

Haihu Liu, Qinjun Kang, Christopher R. Leonardi, Sebastian Schmieschek, Ariel Narváez, Bruce D. Jones, John R. Williams, Albert J. Valocchi, Jens Harting
2015 Computational Geosciences  
In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which  ...  Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media.  ...  Conclusion In this article, we provided a comprehensive overview and literature review on lattice Boltzmann modelling of multiphase flow with a particular focus on porous media applications.  ... 
doi:10.1007/s10596-015-9542-3 fatcat:dgt4n4bwprgi5da3fxntgoipuy

Contact line dynamics in binary lattice Boltzmann simulations

C. M. Pooley, H. Kusumaatmaja, J. M. Yeomans
2008 Physical Review E  
We identify the origins of these spurious currents, and demonstrate how the results can be greatly improved by using a lattice Boltzmann method based on a multiple-relaxation-time algorithm.  ...  We show that, when a single relaxation time lattice Boltzmann algorithm is used to solve the hydrodynamic equations of a binary fluid for which the two components have different viscosities, strong spurious  ...  Acknowledgments project, yet I have never been refused for any kind of scientific query or dis-  ... 
doi:10.1103/physreve.78.056709 pmid:19113239 fatcat:ig25c6fcvzdslbsoc5vpcnelau

Simulations of gravity-driven flow of binary liquids in microchannels

A. Kuzmin, M. Januszewski, D. Eskin, F. Mostowfi, J.J. Derksen
2011 Chemical Engineering Journal  
In this work a free-energy binary liquid lattice-Boltzmann scheme is used to simulate Taylor/Bretherton flow in a micro-channel where elongated gas bubbles move through a liquid with thin liquid films  ...  The simulations are two-dimensional and span a capillary number range of 0.05-1.0 where the capillary number is based on the liquid dynamic viscosity, the velocity of the bubble, and the interfacial tension  ...  Acknowledgements A. Kuzmin wants to thank Schlumberger for financial support. Authors are grateful to referees for their significant contribution to the quality improvement of the manuscript.  ... 
doi:10.1016/j.cej.2011.04.023 fatcat:nvqiaupl2bawrgkqgjgups57be

A mass-conserving lattice Boltzmann method with dynamic grid refinement for immiscible two-phase flows

Abbas Fakhari, Martin Geier, Taehun Lee
2016 Journal of Computational Physics  
A mass-conserving lattice Boltzmann method (LBM) for multiphase flows is presented in this paper. The proposed LBM improves the previous model [T. Lee and L.  ...  Liu (2010) Journal of Computational Physics 229, 8045-8063] in terms of mass conservation, speed-up, and efficiency, and also extends its capabilities for implementation on non-uniform grids.  ...  Rooted in the kinetic theory, the lattice Boltzmann method (LBM) is a mesoscopic approach for simulation of fluid flows [4] [5] [6] , and it is favorable because phase interface boundaries are essentially  ... 
doi:10.1016/j.jcp.2016.03.058 fatcat:q23vaeo7ijbqvan3wjoaro4tie

Lattice Boltzmann simulations of two-phase flow with high density ratio in axially symmetric geometry

Shiladitya Mukherjee, John Abraham
2007 Physical Review E  
Lattice Boltzmann simulations of two-phase flow with high density ratio in axially symmetric geometry Physical Review E, 2007; 75(2):026701  ...  They simulated bubble rise with surrounding fluid to a bubble density ratio of about 7.  ...  They simulated binary drop collisions at a density ratio of 50 and the rise of bubbles in a square duct at density ratios of 50 and 1000.  ... 
doi:10.1103/physreve.75.026701 pmid:17358445 fatcat:rxlto6c2y5hdjanbgb7xlik5jq

Pore-scale mass and reactant transport in multiphase porous media flows

A. Parmigiani, C. Huber, O. Bachmann, B. Chopard
2011 Journal of Fluid Mechanics  
We use a combination of pore-scale numerical calculations based on a multiphase reactive lattice Boltzmann model (LBM) and scaling laws to quantify (i) the effect of dissolution on the preservation of  ...  Reactive processes associated with multiphase flows play a significant role in mass transport in unsaturated porous media.  ...  In this study, we use the lattice Boltzmann method because of its ability to model single and multiphase flows in complex geometries (Martys & Chen 1996; Olson & Rothman 1997; Sukop et al. 2008; Boek  ... 
doi:10.1017/jfm.2011.268 fatcat:hgzfpwhrynbojol5zriu7yosha

Terminal shape and velocity of a rising bubble by phase-field-based incompressible Lattice Boltzmann model

Feng Ren, Baowei Song, Michael C. Sukop
2016 Advances in Water Resources  
This article describes the simulation of three-dimensional buoyancy-driven bubble rise using a phase-field-based incompressible Lattice Boltzmann model.  ...  Huang et al. developed the axisymmetric model [30] based on the model of He et al.[25,26], and applied their model to simulate bubble rising processes.  ...  A deeper understanding of the dynamic characteristic of a rising bubble can enable promising applications, e.g., bubble rise in porous media [3] .  ... 
doi:10.1016/j.advwatres.2016.08.012 fatcat:pvoeit3b5beojc3eaqyztelrhu

VOF SIMULATION OF SINGLE RISING DROPS IN THREE LIQUID-LIQUID EXTRACTION SYSTEMS USING CSF AND CSS INTERFACIAL FORCE MODELS

S. Roshdi, N. Kasiri, A. Rahbar-Kelishami
2018 Brazilian Journal of Chemical Engineering  
Simulations have been carried out in an axisymmetric geometry with a moving droplet in the static zone.  ...  models of CSS (Continuum Surface Stress) and CSF (Continuum Surface Force) as a source term in the momentum equation.  ...  On the application of the VOF method in bubble hydrodynamics, one study was carried out by Bothe and Fleckenstein (2013) .  ... 
doi:10.1590/0104-6632.20180354s20170609 fatcat:33nisf7bwve7pn3siuvrmx5ppm

MagmaFOAM-1.0: a modular framework for the simulation of magmatic systems

Federico Brogi, Simone Colucci, Jacopo Matrone, Chiara Paola Montagna, Mattia De' Michieli Vitturi, Paolo Papale
2022 Geoscientific Model Development  
Numerical simulations of volcanic processes play a fundamental role in understanding the dynamics of magma storage, ascent, and eruption.  ...  tube simulations propaedeutical to conduit dynamics studies, and bubble growth and breakage in basaltic melts.  ...  In this set of 2D simulations, the main goal is to investigate the ability of the solver to reproduce the breakage of a bubble in relation to the shape that it may assume during its rise.  ... 
doi:10.5194/gmd-15-3773-2022 fatcat:jdomdh6kdveabaowlfqxevdyyy

SIMULATION OF BUBBLE BREAKUP DYNAMICS IN HOMOGENEOUS TURBULENCE

D. Qian, J. B. McLaughlin, K. Sankaranarayanan, S. Sundaresan, K. Kontomaris
2006 Chemical Engineering Communications  
The lattice Boltzmann method was used in the simulations. Homogeneous turbulence was generated by a random stirring force that acted on the fluid in a three-dimensional periodic box.  ...  This article presents numerical simulation results for the deformation and breakup of bubbles in homogeneous turbulence under zero gravity conditions.  ...  Shan for helpful discussions about the lattice Boltzmann method.  ... 
doi:10.1080/00986440500354275 fatcat:mlnagx4ug5finjpjd4djq5frzu
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