A lattice BGK model for advection and anisotropic dispersion equation

Xiaoxian Zhang, Anthony G. Bengough, John W. Crawford, Iain M. Young

Research output: Contribution to journalArticlepeer-review

100 Scopus citations


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. © 2002 Elsevier Science Ltd. All rights reserved.
Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalAdvances in Water Resources
Issue number1
StatePublished - Jan 1 2002
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Water Science and Technology


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