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Title: Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio

In this paper, we propose a color-gradient lattice Boltzmann (LB) model for simulating two-phase flows with high density ratio and high Reynolds number. The model applies a multi-relaxation-time (MRT) collision operator to enhance the stability of the simulation. A source term, which is derived by the Chapman-Enskog analysis, is added into the MRT LB equation so that the Navier-Stokes equations can be exactly recovered. Also, a new form of the equilibrium density distribution function is used to simplify the source term. To validate the proposed model, steady flows of a static droplet and the layered channel flow are first simulated with density ratios up to 1000. Small values of spurious velocities and interfacial tension errors are found in the static droplet test, and improved profiles of velocity are obtained by the present model in simulating channel flows. Then, two cases of unsteady flows, Rayleigh-Taylor instability and droplet splashing on a thin film, are simulated. In the former case, the density ratio of 3 and Reynolds numbers of 256 and 2048 are considered. The interface shapes and spike/bubble positions are in good agreement with the results of previous studies. In the latter case, the droplet spreading radius is found to obeymore » the power law proposed in previous studies for the density ratio of 100 and Reynolds number up to 500.« less
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5]
  1. Xi'an Jiaotong Univ. (China); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Xi'an Jiaotong Univ. (China)
  3. Central South Univ., Changsha (China)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Xi'an Jiaotong Univ. (China); Collaborative Innovation Center for Advance Aero-Engine (CICAAE), Beijing (China)
Publication Date:
Report Number(s):
LA-UR-17-27935
Journal ID: ISSN 2470-0045; PLEEE8; TRN: US1800995
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 94; Journal Issue: 2; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Energy Sciences
OSTI Identifier:
1417163
Alternate Identifier(s):
OSTI ID: 1294711

Ba, Yan, Liu, Haihu, Li, Qing, Kang, Qinjun, and Sun, Jinju. Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio. United States: N. p., Web. doi:10.1103/PhysRevE.94.023310.
Ba, Yan, Liu, Haihu, Li, Qing, Kang, Qinjun, & Sun, Jinju. Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio. United States. doi:10.1103/PhysRevE.94.023310.
Ba, Yan, Liu, Haihu, Li, Qing, Kang, Qinjun, and Sun, Jinju. 2016. "Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio". United States. doi:10.1103/PhysRevE.94.023310. https://www.osti.gov/servlets/purl/1417163.
@article{osti_1417163,
title = {Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio},
author = {Ba, Yan and Liu, Haihu and Li, Qing and Kang, Qinjun and Sun, Jinju},
abstractNote = {In this paper, we propose a color-gradient lattice Boltzmann (LB) model for simulating two-phase flows with high density ratio and high Reynolds number. The model applies a multi-relaxation-time (MRT) collision operator to enhance the stability of the simulation. A source term, which is derived by the Chapman-Enskog analysis, is added into the MRT LB equation so that the Navier-Stokes equations can be exactly recovered. Also, a new form of the equilibrium density distribution function is used to simplify the source term. To validate the proposed model, steady flows of a static droplet and the layered channel flow are first simulated with density ratios up to 1000. Small values of spurious velocities and interfacial tension errors are found in the static droplet test, and improved profiles of velocity are obtained by the present model in simulating channel flows. Then, two cases of unsteady flows, Rayleigh-Taylor instability and droplet splashing on a thin film, are simulated. In the former case, the density ratio of 3 and Reynolds numbers of 256 and 2048 are considered. The interface shapes and spike/bubble positions are in good agreement with the results of previous studies. In the latter case, the droplet spreading radius is found to obey the power law proposed in previous studies for the density ratio of 100 and Reynolds number up to 500.},
doi = {10.1103/PhysRevE.94.023310},
journal = {Physical Review E},
number = 2,
volume = 94,
place = {United States},
year = {2016},
month = {8}
}