Analysis and reconstruction of the multiphase lattice Boltzmann flux solver for multiphase flows with large density ratios

Lu，Jinhua1,2; Adams，Nikolaus A.1,3; Yu，Peng2

2022-10-01

10.1103/PhysRevE.106.045305

Physical Review E   Impact Factor & Quartile

2470-0045

2470-0053

The multiphase lattice Boltzmann flux solver (MLBFS) has been proposed to tackle complex geometries with nonuniform meshes. It also has been proven to have good numerical stability for multiphase flows with large density ratios. However, the reason for the good numerical stability of MLBFS at large density ratios has not been well established. The present paper reveals the relation between MLBFS and the macroscopic weakly compressible multiphase model by recovering the macroscopic equations of MLBFS (MEs-MLBFS) with actual numerical dissipation terms. By directly solving MEs-MLBFS, the reconstructed MLBFS (RMLBFS) that involves only macroscopic variables in the computational processes is proposed. The analysis of RMLBFS indicates that by combining the predictor step, the corrector step of MLBFS introduces some numerical dissipation terms which contribute to the good numerical stability of MLBFS. By retaining these numerical dissipation terms, RMLBFS can maintain the numerical stability of MLBFS even at large density ratios.

SCI

English

Others

National Natural Science Foundation of China (NSFC)[91852205] ; Department of Education of Guangdong Province[2020KZDZX1185]

Physics

Physics, Fluids & Plasmas ; Physics, Mathematical

WOS:000892127900012

AMER PHYSICAL SOC

2-s2.0-85141584606

Scopus

1.Department of Mechanical Engineering,Chair of Aerodynamics and Fluid Mechanics,Technical University of Munich,Garching,Boltzmannstraße 15,85748,Germany
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
3.Munich Institute of Integrated Materials,Energy and Process Engineering,Technical University of Munich,Garching,Lichtenbergstr. 4a,85748,Germany

Lu，Jinhua,Adams，Nikolaus A.,Yu，Peng. Analysis and reconstruction of the multiphase lattice Boltzmann flux solver for multiphase flows with large density ratios[J]. Physical Review E,2022,106(4).

Lu，Jinhua,Adams，Nikolaus A.,&Yu，Peng.(2022).Analysis and reconstruction of the multiphase lattice Boltzmann flux solver for multiphase flows with large density ratios.Physical Review E,106(4).

Lu，Jinhua,et al."Analysis and reconstruction of the multiphase lattice Boltzmann flux solver for multiphase flows with large density ratios".Physical Review E 106.4(2022).