TY - JOUR
T1 - A lattice BGK model for advection and anisotropic dispersion equation
AU - Zhang, Xiaoxian
AU - Bengough, Anthony G.
AU - Crawford, John W.
AU - Young, Iain M.
N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15
PY - 2002/1/1
Y1 - 2002/1/1
N2 - 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.
AB - 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.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0309170801000471
UR - http://www.scopus.com/inward/record.url?scp=0036147348&partnerID=8YFLogxK
U2 - 10.1016/S0309-1708(01)00047-1
DO - 10.1016/S0309-1708(01)00047-1
M3 - Article
SN - 0309-1708
VL - 25
SP - 1
EP - 8
JO - Advances in Water Resources
JF - Advances in Water Resources
IS - 1
ER -