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

Tao Zhang; Shuyu Sun

doi:10.1007/978-3-319-93713-7_12

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

Tao Zhang, Shuyu Sun^*

^*Corresponding author for this work

Earth Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English (US)
Title of host publication	Computational Science – ICCS 2018 - 18th International Conference, Proceedings
Editors	Jack Dongarra, Haohuan Fu, Valeria V. Krzhizhanovskaya, Michael Harold Lees, Peter M. Sloot, Yong Shi, Yingjie Tian
Publisher	Springer Verlag
Pages	149-162
Number of pages	14
ISBN (Print)	9783319937120
DOIs	https://doi.org/10.1007/978-3-319-93713-7_12
State	Published - 2018
Event	18th International Conference on Computational Science, ICCS 2018 - Wuxi, China Duration: Jun 11 2018 → Jun 13 2018

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10862 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	18th International Conference on Computational Science, ICCS 2018
Country/Territory	China
City	Wuxi
Period	06/11/18 → 06/13/18

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
General Computer Science

Access to Document

10.1007/978-3-319-93713-7_12

Cite this

Zhang, T., & Sun, S. (2018). A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows. In J. Dongarra, H. Fu, V. V. Krzhizhanovskaya, M. H. Lees, P. M. Sloot, Y. Shi, & Y. Tian (Eds.), Computational Science – ICCS 2018 - 18th International Conference, Proceedings (pp. 149-162). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10862 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-93713-7_12

Zhang, Tao ; Sun, Shuyu. / A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows. Computational Science – ICCS 2018 - 18th International Conference, Proceedings. editor / Jack Dongarra ; Haohuan Fu ; Valeria V. Krzhizhanovskaya ; Michael Harold Lees ; Peter M. Sloot ; Yong Shi ; Yingjie Tian. Springer Verlag, 2018. pp. 149-162 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{0faeed2362b243ec83a913e9931fd800,

title = "A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows",

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.",

keywords = "Heat and flow coupling, LBM, Rayleigh-Benard convection",

author = "Tao Zhang and Shuyu Sun",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.; 18th International Conference on Computational Science, ICCS 2018 ; Conference date: 11-06-2018 Through 13-06-2018",

year = "2018",

doi = "10.1007/978-3-319-93713-7_12",

language = "English (US)",

isbn = "9783319937120",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "149--162",

editor = "Jack Dongarra and Haohuan Fu and Krzhizhanovskaya, {Valeria V.} and Lees, {Michael Harold} and Sloot, {Peter M.} and Yong Shi and Yingjie Tian",

booktitle = "Computational Science – ICCS 2018 - 18th International Conference, Proceedings",

address = "Germany",

}

Zhang, T & Sun, S 2018, A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows. in J Dongarra, H Fu, VV Krzhizhanovskaya, MH Lees, PM Sloot, Y Shi & Y Tian (eds), Computational Science – ICCS 2018 - 18th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10862 LNCS, Springer Verlag, pp. 149-162, 18th International Conference on Computational Science, ICCS 2018, Wuxi, China, 06/11/18. https://doi.org/10.1007/978-3-319-93713-7_12

A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows. / Zhang, Tao; Sun, Shuyu.
Computational Science – ICCS 2018 - 18th International Conference, Proceedings. ed. / Jack Dongarra; Haohuan Fu; Valeria V. Krzhizhanovskaya; Michael Harold Lees; Peter M. Sloot; Yong Shi; Yingjie Tian. Springer Verlag, 2018. p. 149-162 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10862 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows

AU - Zhang, Tao

AU - Sun, Shuyu

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Heat and flow coupling

KW - LBM

KW - Rayleigh-Benard convection

UR - http://www.scopus.com/inward/record.url?scp=85049045185&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-93713-7_12

DO - 10.1007/978-3-319-93713-7_12

M3 - Conference contribution

AN - SCOPUS:85049045185

SN - 9783319937120

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 149

EP - 162

BT - Computational Science – ICCS 2018 - 18th International Conference, Proceedings

A2 - Dongarra, Jack

A2 - Fu, Haohuan

A2 - Krzhizhanovskaya, Valeria V.

A2 - Lees, Michael Harold

A2 - Sloot, Peter M.

A2 - Shi, Yong

A2 - Tian, Yingjie

PB - Springer Verlag

T2 - 18th International Conference on Computational Science, ICCS 2018

Y2 - 11 June 2018 through 13 June 2018

ER -

Zhang T, Sun S. A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows. In Dongarra J, Fu H, Krzhizhanovskaya VV, Lees MH, Sloot PM, Shi Y, Tian Y, editors, Computational Science – ICCS 2018 - 18th International Conference, Proceedings. Springer Verlag. 2018. p. 149-162. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-93713-7_12

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

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this