A lattice BGK model for advection and anisotropic dispersion equation

Zhang, X., Bengough, A. G., Crawford, J. and Young, I. M. (2002) A lattice BGK model for advection and anisotropic dispersion equation. Advances in Water Resources, 25(1), pp. 1-8. (doi: 10.1016/S0309-1708(01)00047-1)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Crawford, Professor John
Authors: Zhang, X., Bengough, A. G., Crawford, J., and Young, I. M.
College/School:College of Social Sciences > Adam Smith Business School > Management
Journal Name:Advances in Water Resources
ISSN (Online):1872-9657
Published Online:30 October 2001

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