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Volume 19, Issue 4
Single Component Multiphase Lattice Boltzmann Method for Taylor/Bretherton Bubble Train Flow Simulations

Michał Dzikowski, Łukasz Łaniewski-Wołłk & Jacek Rokicki

Commun. Comput. Phys., 19 (2016), pp. 1042-1066.

Published online: 2018-04

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  • Abstract

In this study long bubble rising in a narrow channel was investigated using multiphase lattice Boltzmann method. The problem is known as a Bretherton or Taylor bubble flow [2] and is used here to verify the performance of the scheme proposed by [13]. The scheme is modified by incorporation of multiple relaxation time (MRT) collision scheme according to the original suggestion of the author. The purpose is to improve the stability of the method. The numerical simulation results show a good agreement with analytic solution provided by [2]. Moreover, the convergence study demonstrates that the method achieves more than the first order of convergence. The paper also investigates the influence of simulation parameters on the interface resolution and shape.

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@Article{CiCP-19-1042, author = {Michał Dzikowski, Łukasz Łaniewski-Wołłk and Jacek Rokicki}, title = {Single Component Multiphase Lattice Boltzmann Method for Taylor/Bretherton Bubble Train Flow Simulations}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {4}, pages = {1042--1066}, abstract = {

In this study long bubble rising in a narrow channel was investigated using multiphase lattice Boltzmann method. The problem is known as a Bretherton or Taylor bubble flow [2] and is used here to verify the performance of the scheme proposed by [13]. The scheme is modified by incorporation of multiple relaxation time (MRT) collision scheme according to the original suggestion of the author. The purpose is to improve the stability of the method. The numerical simulation results show a good agreement with analytic solution provided by [2]. Moreover, the convergence study demonstrates that the method achieves more than the first order of convergence. The paper also investigates the influence of simulation parameters on the interface resolution and shape.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.220115.110915a}, url = {http://global-sci.org/intro/article_detail/cicp/11119.html} }
TY - JOUR T1 - Single Component Multiphase Lattice Boltzmann Method for Taylor/Bretherton Bubble Train Flow Simulations AU - Michał Dzikowski, Łukasz Łaniewski-Wołłk & Jacek Rokicki JO - Communications in Computational Physics VL - 4 SP - 1042 EP - 1066 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.220115.110915a UR - https://global-sci.org/intro/article_detail/cicp/11119.html KW - AB -

In this study long bubble rising in a narrow channel was investigated using multiphase lattice Boltzmann method. The problem is known as a Bretherton or Taylor bubble flow [2] and is used here to verify the performance of the scheme proposed by [13]. The scheme is modified by incorporation of multiple relaxation time (MRT) collision scheme according to the original suggestion of the author. The purpose is to improve the stability of the method. The numerical simulation results show a good agreement with analytic solution provided by [2]. Moreover, the convergence study demonstrates that the method achieves more than the first order of convergence. The paper also investigates the influence of simulation parameters on the interface resolution and shape.

Michał Dzikowski, Łukasz Łaniewski-Wołłk and Jacek Rokicki. (2018). Single Component Multiphase Lattice Boltzmann Method for Taylor/Bretherton Bubble Train Flow Simulations. Communications in Computational Physics. 19 (4). 1042-1066. doi:10.4208/cicp.220115.110915a
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