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

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

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

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. © 2002 Elsevier Science Ltd. All rights reserved.

Original language	English (US)
Pages (from-to)	601-609
Number of pages	9
Journal	Advances in Water Resources
Volume	25
Issue number	6
DOIs	https://doi.org/10.1016/S0309-1708(02)00027-1
State	Published - Jun 1 2002
Externally published	Yes

ASJC Scopus subject areas

Water Science and Technology

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10.1016/S0309-1708(02)00027-1

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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. {\textcopyright} 2002 Elsevier Science Ltd. All rights reserved.",

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AU - Zhang, Xiaoxian

AU - Crawford, John W.

AU - Glyn Bengough, A.

AU - Young, Iain M.

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PY - 2002/6/1

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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. © 2002 Elsevier Science Ltd. All rights reserved.

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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

Abstract

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