TY - GEN
T1 - A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows
AU - Zhang, Tao
AU - Sun, Shuyu
N1 - Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.
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 -