Analysis and reconstruction of the thermal lattice Boltzmann flux solver

Lu, Jinhua1; Dai, Chuanshan2,3; Yu, Peng1,4

2022-10-01

10.1002/fld.5156

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS   影响因子和分区

0271-2091

1097-0363

The thermal lattice Boltzmann flux solver (TLBFS) has been proposed as an alternative method to overcome the drawbacks of thermal lattice Boltzmann models. However, as a weakly compressible model, its mechanism of the good numerical stability for high Rayleigh number thermal flows is still unclear. To reveal the mechanism, the present article first derives the macroscopic equations of TLBFS (MEs-TLBFS) with actual numerical dissipation terms by approximating its computational process. By solving MEs-TLBFS with the finite volume method, the reconstructed TLBFS (RTLBFS) is proposed. Detailed analyzes prove that these actual numerical dissipation terms are the mechanism of the good numerical stability of TLBFS for high Rayleigh number thermal flows. More detailed numerical tests indicate RTLBFS has similar performances as TLBFS for stability, accuracy, and efficiency, which further validates the mechanism of the good numerical stability of TLBFS for high Rayleigh number thermal flows.

numerical dissipation thermal lattice Boltzmann flux solver thermal lattice Boltzmann model weakly compressible model

SCI ; EI

英语

第一 ; 通讯

Shenzhen Science and Technology Innovation Commission[JCYJ20180504165704491] ; National Science and Technology Major Project[J2019-II-0013-0033]

Computer Science ; Mathematics ; Mechanics ; Physics

Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas

WOS:000868932700001

WILEY

20224312988171

Electroosmosis ; Stability

Electricity: Basic Concepts and Phenomena:701.1 ; Chemical Operations:802.3 ; Numerical Methods:921.6

ENGINEERING

2-s2.0-85140031489

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.Tianjin Univ, Minist Educ Efficient Utilizat Low & Medium Grade, Key Lab, Tianjin, Peoples R China
3.Tianjin Univ, Sch Mech Engn, Tianjin, Peoples R China
4.Southern Univ Sci & Technol, Ctr Complex Flows & Soft Matter Res, Shenzhen, Peoples R China

Lu, Jinhua,Dai, Chuanshan,Yu, Peng. Analysis and reconstruction of the thermal lattice Boltzmann flux solver[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2022,95(3):391-420.

Lu, Jinhua,Dai, Chuanshan,&Yu, Peng.(2022).Analysis and reconstruction of the thermal lattice Boltzmann flux solver.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,95(3),391-420.

Lu, Jinhua,et al."Analysis and reconstruction of the thermal lattice Boltzmann flux solver".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 95.3(2022):391-420.