Journal
ADVANCES IN WATER RESOURCES
Volume 25, Issue 1, Pages 1-8Publisher
ELSEVIER SCI LTD
DOI: 10.1016/S0309-1708(01)00047-1
Keywords
advection-dispersion equation; lattice Boltzmann method; lattice BGK method; anisotropic dispersion
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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. (C) 2002 Elsevier Science Ltd. All rights reserved.
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