Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/15245
Title: | A lattice BGK model for advection and anisotropic dispersion equation | Contributor(s): | Zhang, Xiaoxian (author); Bengough, Anthony G (author); Crawford, John W (author); Young, Iain (author) | Publication Date: | 2002 | DOI: | 10.1016/S0309-1708(01)00047-1 | Handle Link: | https://hdl.handle.net/1959.11/15245 | Abstract: | This paper presents a lattice Boltzmann model (LBM) for 2-D advection and anisotropic dispersion equation (AADE) based on the Bhatnagar, Gross and Krook (BGK) model. In the proposed model, the particle speed space is discretized using a rectangular lattice that has four speeds in nine directions, and the single relaxation time is assumed to be directionally dependent. To ensure that the collision is mass-invariant when the relaxation time is directionally dependent, the concentration is calculated from a weighted summation of the particle distribution functions. The proposed model was verified against benchmark problems and the finite difference solution of solute transport with spatially variable dispersion coefficients and non-uniform velocity field. The significant results are that it conserves mass perfectly and offers accurate and efficient solutions for both dispersion-dominated and advection-dominated problems. | Publication Type: | Journal Article | Source of Publication: | Advances in Water Resources, 25(1), p. 1-8 | Publisher: | Elsevier Ltd | Place of Publication: | United Kingdom | ISSN: | 1872-9657 0309-1708 |
Fields of Research (FoR) 2008: | 020303 Fluid Physics | Socio-Economic Objective (SEO) 2008: | 970102 Expanding Knowledge in the Physical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article School of Environmental and Rural Science |
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