On boundary conditions in the lattice Boltzmann model for advection and anisotropic dispersion equation

Xiaoxian Zhang; John W Crawford; A Glyn Bengough; Iain Young

doi:10.1016/S0309-1708(02)00027-1

On boundary conditions in the lattice Boltzmann model for advection and anisotropic dispersion equation

Xiaoxian Zhang, John W Crawford, A Glyn Bengough, Iain Young

School of Environmental & Rural Science

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50 Citations (Scopus)

Abstract

A mirror-image method is proposed in this paper to solve the boundary conditions in the lattice Boltzmann model proposed by Zhang et al. [Adv. Water Resour. 25 (2002) 1] for the advection and anisotropic dispersion of solute transport in porous media. Three types of boundary are considered: prescribed concentration boundary, prescribed flux boundary and prescribed concentration-gradient boundary. The accuracy of the proposed method is verified against benchmark problems and finite difference method.

Original language	English
Pages (from-to)	601-609
Journal	Advances in Water Resources
Volume	25
Issue number	6
DOIs	https://doi.org/10.1016/S0309-1708(02)00027-1
Publication status	Published - 2002

Keywords

Fluid Physics

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10.1016/S0309-1708(02)00027-1

https://hdl.handle.net/1959.11/15237

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title = "On boundary conditions in the lattice Boltzmann model for advection and anisotropic dispersion equation",

abstract = "A mirror-image method is proposed in this paper to solve the boundary conditions in the lattice Boltzmann model proposed by Zhang et al. [Adv. Water Resour. 25 (2002) 1] for the advection and anisotropic dispersion of solute transport in porous media. Three types of boundary are considered: prescribed concentration boundary, prescribed flux boundary and prescribed concentration-gradient boundary. The accuracy of the proposed method is verified against benchmark problems and finite difference method.",

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AU - Zhang, Xiaoxian

AU - Crawford, John W

AU - Bengough, A Glyn

AU - Young, Iain

PY - 2002

Y1 - 2002

N2 - A mirror-image method is proposed in this paper to solve the boundary conditions in the lattice Boltzmann model proposed by Zhang et al. [Adv. Water Resour. 25 (2002) 1] for the advection and anisotropic dispersion of solute transport in porous media. Three types of boundary are considered: prescribed concentration boundary, prescribed flux boundary and prescribed concentration-gradient boundary. The accuracy of the proposed method is verified against benchmark problems and finite difference method.

AB - A mirror-image method is proposed in this paper to solve the boundary conditions in the lattice Boltzmann model proposed by Zhang et al. [Adv. Water Resour. 25 (2002) 1] for the advection and anisotropic dispersion of solute transport in porous media. Three types of boundary are considered: prescribed concentration boundary, prescribed flux boundary and prescribed concentration-gradient boundary. The accuracy of the proposed method is verified against benchmark problems and finite difference method.

KW - Fluid Physics

UR - https://www.scopus.com/pages/publications/0036620572

U2 - 10.1016/S0309-1708(02)00027-1

DO - 10.1016/S0309-1708(02)00027-1

M3 - Article

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VL - 25

SP - 601

EP - 609

JO - Advances in Water Resources

JF - Advances in Water Resources

IS - 6

ER -

On boundary conditions in the lattice Boltzmann model for advection and anisotropic dispersion equation

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