@Article{CiCP-15-487,
author = {Tobias Gebäck and Alexei Heintz},
title = {A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {2},
pages = {487--505},
abstract = {<p style="text-align: justify;">In this paper, we study a lattice Boltzmann method for the advection-diffusion equation with Neumann boundary conditions on general boundaries. A
novel mass conservative scheme is introduced for implementing such boundary conditions, and is analyzed both theoretically and numerically.<br/>Second order convergence is predicted by the theoretical analysis, and numerical
investigations show that the convergence is at or close to the predicted rate. The numerical investigations include time-dependent problems and a steady-state diffusion
problem for computation of effective diffusion coefficients.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.161112.230713a},
url = {http://global-sci.org/intro/article_detail/cicp/7103.html}
}