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Title: Two-Relaxation-Time Lattice Boltzmann Method and its Application to Advective-Diffusive-Reactive Transport

The lattice Boltzmann method (LBM) based on single-relaxation-time (SRT) or multiple-relaxation-time (MRT) collision operators is widely used in simulating flow and transport phenomena. The LBM based on two-relaxation-time (TRT) collision operators possesses strengths from the SRT and MRT LBMs, such as its simple implementation and good numerical stability, although tedious mathematical derivations and presentations of the TRT LBM hinder its application to a broad range of flow and transport phenomena. This paper describes the TRT LBM clearly and provides a pseudocode for easy implementation. Various transport phenomena were simulated using the TRT LBM to illustrate its applications in subsurface environments. These phenomena include advection-diffusion in uniform flow, Taylor dispersion in a pipe, solute transport in a packed column, reactive transport in uniform flow, and bacterial chemotaxis in porous media. Finally, the TRT LBM demonstrated good numerical performance in terms of accuracy and stability in predicting these transport phenomena. Therefore, the TRT LBM is a powerful tool to simulate various geophysical and biogeochemical processes in subsurface environments.
 [1] ;  [2] ;  [1] ;  [2] ;  [3]
  1. Tianjin Univ., Tianjin (China). Inst. of Surface-Earth System Science
  2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
  3. Columbia Univ., New York, NY (United States). Dept. of Environmental Health Sciences
Publication Date:
Report Number(s):
Journal ID: ISSN 0309-1708; PII: S0309170816307680
Grant/Contract Number:
AC05-76RL01830; P30 ES009089; 2016YFA0601000
Accepted Manuscript
Journal Name:
Advances in Water Resources
Additional Journal Information:
Journal Volume: 109; Journal ID: ISSN 0309-1708
Research Org:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Biological and Environmental Research (BER) (SC-23)
Country of Publication:
United States
58 GEOSCIENCES; 54 ENVIRONMENTAL SCIENCES; Lattice Boltzmann Method; Two-Relaxation-Time; Pore-scale model; Advection-diffusion; Reactive transport; Porous media
OSTI Identifier: