Analysis and reconstruction of the revised formulations of the simplified and highly stable lattice Boltzmann method

Lu, Jinhua1; Dai, Chuanshan2,3; Yu, Peng1,4,5

2021-10-01

10.1063/5.0065329

PHYSICS OF FLUIDS   影响因子和分区

1070-6631

1089-7666

The present study aims to find the reason for the good numerical stability of the revised formulations of the simplified and highly stable lattice Boltzmann method (RSHSLBM) at high Reynolds number and reconstruct RSHSLBM in the macroscopic scale to overcome the limitation of uniform mesh. To this end, the macroscopic equations of RSHSLBM (MEs-RSHSLBM) with actual numerical dissipative terms are derived by approximating its actual computational process. By directly solving MEs-RSHSLBM with the least squares-based finite difference method, the limitation of uniform mesh can be easily overcome. Numerical investigations prove that those numerical dissipative terms help achieve good numerical stability at high Reynolds numbers of RSHSLBM. By retaining those numerical dissipative terms, the discretized MEs-RSHSLBM can recover the numerical stability and accuracy of RSHSLBM very well. Besides, the discretized MEs-RSHSLBM can be easily implemented on non-uniform meshes and achieve significantly higher computational efficiency.

SCI ; EI

英语

第一 ; 通讯

Shenzhen Science and Technology Innovation Commission[JCYJ20180504165704491] ; Guangdong Provincial Key Laboratory of Turbulence Research and Applications[2019B21203001] ; Department of Education of Guangdong Province[2020KZDZX1185]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000715649400005

AIP Publishing

20214611144271

Computational efficiency ; Finite difference method ; Least squares approximations ; Mesh generation ; Numerical methods ; Reynolds number

Fluid Flow, General:631.1 ; Computer Applications:723.5 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Numerical Methods:921.6

PHYSICS

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 300350, Peoples R China
3.Tianjin Univ, Sch Mech Engn, Tianjin 300350, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Turbulence Res & Applicat, Shenzhen 518055, Peoples R China
5.Southern Univ Sci & Technol, Ctr Complex Flows & Soft Matter Res, Shenzhen 518055, Peoples R China

Lu, Jinhua,Dai, Chuanshan,Yu, Peng. Analysis and reconstruction of the revised formulations of the simplified and highly stable lattice Boltzmann method[J]. PHYSICS OF FLUIDS,2021,33(10).

Lu, Jinhua,Dai, Chuanshan,&Yu, Peng.(2021).Analysis and reconstruction of the revised formulations of the simplified and highly stable lattice Boltzmann method.PHYSICS OF FLUIDS,33(10).

Lu, Jinhua,et al."Analysis and reconstruction of the revised formulations of the simplified and highly stable lattice Boltzmann method".PHYSICS OF FLUIDS 33.10(2021).