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

Yan, Zhifeng; Yang, Xiaofan; Li, Siliang; Scheibe, Timothy; Hilpert, Markus

doi:10.1016/J.ADVWATRES.2017.09.003

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

Journal Article · Tue Sep 05 00:00:00 EDT 2017 · Advances in Water Resources

DOI:https://doi.org/10.1016/J.ADVWATRES.2017.09.003· OSTI ID:1395283

^[1]; Yang, Xiaofan ^[2]; Li, Siliang ^[1]; Scheibe, Timothy ^[2]; Hilpert, Markus ^[3]

Tianjin Univ., Tianjin (China). Inst. of Surface-Earth System Science
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Columbia Univ., New York, NY (United States). Dept. of Environmental Health Sciences

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.

View Accepted Manuscript (DOE)

Research Organization:: Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Biological and Environmental Research (BER) (SC-23)

Grant/Contract Number:: AC05-76RL01830

OSTI ID:: 1395283

Alternate ID(s):: OSTI ID: 1844595

Report Number(s):: PNNL-SA--125138; PNNL-SA-125138; PII: S0309170816307680

Journal Information:: Advances in Water Resources, Journal Name: Advances in Water Resources Vol. 109; ISSN 0309-1708

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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54 ENVIRONMENTAL SCIENCES
58 GEOSCIENCES
Advection-diffusion
Lattice Boltzmann Method
Pore-scale model
Porous media
Reactive transport
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lattice-Boltzmann method
reactive transport in porous media
subsurface environments

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

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