A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows

Tao Zhang, Shuyu Sun*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

A coupled LBGK scheme, constituting of two independent distribution functions describing velocity and temperature respectively, is established in this paper. Chapman-Enskog expansion, a procedure to prove the consistency of this mesoscopic method with macroscopic conservation laws, is also conducted for both lattice scheme of velocity and temperature, as well as a simple introduction on the common used DnQb model. An efficient coding manner for Matlab is proposed in this paper, which improves the coding and calculation efficiency at the same time. The compact and efficient scheme is then applied in the simulation of the famous and well-studied Rayleigh-Benard convection, which is common seen as a representative heat convection problem in modern industries. The results are interesting and reasonable, and meet the experimental data well. The stability of this scheme is also proved through different cases with a large range of Rayleigh number, until 2 million.

Original languageEnglish (US)
Title of host publicationComputational Science – ICCS 2018 - 18th International Conference, Proceedings
EditorsJack Dongarra, Haohuan Fu, Valeria V. Krzhizhanovskaya, Michael Harold Lees, Peter M. Sloot, Yong Shi, Yingjie Tian
PublisherSpringer Verlag
Pages149-162
Number of pages14
ISBN (Print)9783319937120
DOIs
StatePublished - 2018
Event18th International Conference on Computational Science, ICCS 2018 - Wuxi, China
Duration: Jun 11 2018Jun 13 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10862 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Computational Science, ICCS 2018
Country/TerritoryChina
CityWuxi
Period06/11/1806/13/18

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

Keywords

  • Heat and flow coupling
  • LBM
  • Rayleigh-Benard convection

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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