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Please use this identifier to cite or link to this item: http://hdl.handle.net/10373/154

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Title: A novel three-dimensional lattice Boltzmann model for solute transport in variably saturated porous media
Authors: Zhang, Xiaoxian
Bengough, A. Glyn
Deeks, Lynda K.
Crawford, John W.
Young, Iain M.
Affiliation: University of Abertay Dundee. Scottish Informatics, Mathematics, Biology and Statistics Centre
Keywords: Porous media
Lattice Boltzmann
Soil structures
Issue Date: Sep-2002
Publisher: American Geophysical Union
Type: Journal Article
Refereed: peer-reviewed
Rights: Published version (c)American Geophysical Union, available from http://www.agu.org/pubs/crossref/2002/2001WR000982.shtml
Citation: Zhang, X., et al. 2002. A novel three-dimensional lattice Boltzmann model for solute transport in variably saturated porous media. Water Resources Research. 38(9). [Online] Available from: DOI: 10.1029/2001WR000982
Abstract: This paper presents a lattice Boltzmann method for the advection and dispersion of solute in three-dimensional variably saturated porous media. The proposed method is based on the BGK model and discretizes the particle velocity space with a cuboid lattice in which the particles move in 19 directions and 7 speeds. In the proposed model a directionally dependent relaxation time is introduced to produce the second-order dispersion tensor, and a modification of the equilibrium distribution functions is given to model the solute in porous media where the volumetric water content varies over space and time. The concentration is calculated from a weighted summation of the particle distribution functions to ensure that the BGK collision does not result in mass change. The accuracy and consistency of the proposed model are verified against benchmark problems and the finite difference solution of solute transport in an unsaturated heterogeneous soil. The results show that the proposed model conserves mass perfectly and gives efficient and accurate solutions for both advection-dominated and dispersion-dominated problems.
URI: http://hdl.handle.net/10373/154
ISSN: 0043-1397
Appears in Collections:SIMBIOS Collection

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