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Lattice Boltzmann modeling of classic solute transport boundary value problems

Shadab Anwar, Danny Thorne and Michael C. Sukop
Lattice Boltzmann modeling of classic solute transport boundary value problems
Vadose Zone Journal (November 2013) 12 (4)

Abstract

Transport phenomena for different boundary conditions in finite and effectively semi-infinite domains were successfully simulated using the lattice Boltzmann method (LBM). We verified an LBM solute transport algorithm and its boundary conditions by comparing simulation results with analytical solutions for four different one-dimensional solute transport problems. Zero-diffusion analytical breakthrough curves were derived for parallel plate and pipe flow, and LBM simulations with small diffusion coefficients matched these well. Simulations of solute transport in one-dimensional finite and semi-infinite domains were performed at a low column Peclet number (Pe = 1) for first- and third-type inlet boundary conditions; these followed the analytical solutions closely. A series of transport simulations were performed to demonstrate the impact of diffusion and dispersion on the solute front. Taylor dispersion coefficients for the simulated range of Peclet numbers were estimated using moment analysis of the concentration obtained from transport simulation by the LBM. The simulation results showed good agreement with theoretical predictions and thus verified the robustness of LBM-based transport models.


ISSN: 1539-1663
Serial Title: Vadose Zone Journal
Serial Volume: 12
Serial Issue: 4
Title: Lattice Boltzmann modeling of classic solute transport boundary value problems
Affiliation: Missouri University of Science and Technology, Geological Sciences and Engineering, Rolla, MO, United States
Published: 201311
Text Language: English
Publisher: Soil Science Society of America, Madison, WI, United States
Number of pages: 13
References: 59
Accession Number: 2014-002231
Categories: Environmental geology
Document Type: Serial
Bibliographic Level: Analytic
Annotation: Includes appendix
Illustration Description: illus. incl. 4 tables
Secondary Affiliation: Georgetown College, USA, United StatesFlorida International University, USA, United States
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Abstract, Copyright, Soil Science Society of America. Reference includes data from GeoScienceWorld, Alexandria, VA, United States
Update Code: 201403
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