On boundary conditions in the lattice Boltzmann model for advection and anisotropic dispersion equation |
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| Institution: | 1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, Bldg 1, Moscow 119526, Russia;2. Bauman Moscow State Technical University, 5 Second Baumanskaya Street, Moscow 105005, Russia;3. National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, Moscow 115409, Russia;4. Cardiff University, Heath Park, Cardiff CF14 4XY, UK;1. School of Sciences, Zhejiang Agriculture and Forestry University, Lin’an, Zhejiang 311300, PR China;2. Zhejiang Provincial Key Laboratory of Chemical Utilization of Forestry Biomass, Zhejiang A & F University, Lin’an, Zhejiang 311300, PR China;1. Department of Mathematics and Statistics, University of Nevada, Reno, Nevada 89557, USA;2. Department of Mathematics, University of Wyoming, Laramie, Wyoming 82071, USA |
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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. |
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