eprintid: 1420948
rev_number: 30
eprint_status: archive
userid: 608
dir: disk0/01/42/09/48
datestamp: 2014-03-11 19:47:38
lastmod: 2021-10-10 23:02:20
status_changed: 2014-03-11 19:47:38
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Lycett-Brown, D
creators_name: Luo, KH
title: Multiphase cascaded lattice Boltzmann method
ispublished: pub
divisions: UCL
divisions: B04
divisions: C05
divisions: F45
keywords:     Lattice Boltzmann;
    Cascaded LBM;
    Multiphase;
    Spurious velocities;
note: © 2013 The Authors. Published by Elsevier Ltd. All rights reserved. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution,
and reproduction in any medium, provided the original author and source are credited.
abstract: To improve the stability of the lattice Boltzmann method (LBM) at high Reynolds number the cascaded LBM has recently been introduced. As in the multiple relaxation time (MRT) method the cascaded LBM introduces additional relaxation times into the collision operator, but does so in a co-moving reference frame. This has been shown to significantly increase stability at low viscosity in the single phase case. Here the cascaded LBM is further developed to include multiphase flow. For this the force term is calculated by the interaction potential method, and introduced into the collision operator via the exact difference method (EDM). Comparisons are made with the lattice Bhatnagar–Gross–Krook (LBGK) method, and an MRT implementation. Both the cascaded and MRT methods are shown to significantly reduce spurious velocities over the LBGK method. For the particular case of the Shan–Chen interparticle force term calculation with the EDM, the cascaded LBM is successfully combined with a multiphase method, and shown to perform as well as the more established MRT method. The cascaded LBM is found to be a considerably improved approach to the simulation of multiphase flow over the LBGK, significantly increasing the stability range of both density ratio and Reynolds number. Additionally the importance of including third order velocity terms in the equilibria of both the cascaded and MRT methods is discussed.
date: 2014-02
official_url: http://dx.doi.org/10.1016/j.camwa.2013.08.033
vfaculties: VENG
oa_status: green
full_text_type: pub
primo: open
primo_central: open_green
verified: verified_manual
elements_source: crossref
elements_id: 933308
doi: 10.1016/j.camwa.2013.08.033
language_elements: aa
lyricists_name: Luo, Kai
lyricists_name: Lycett-Brown, Daniel
lyricists_id: KLUOX54
lyricists_id: DJLYC68
full_text_status: public
publication: Computers & Mathematics with Applications
volume: 67
number: 2
pagerange: 350 - 362
issn: 0898-1221
citation:        Lycett-Brown, D;    Luo, KH;      (2014)    Multiphase cascaded lattice Boltzmann method.                   Computers & Mathematics with Applications , 67  (2)   350 - 362.    10.1016/j.camwa.2013.08.033 <https://doi.org/10.1016/j.camwa.2013.08.033>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/1420948/1/1-s2.0-S0898122113005403-main.pdf