TY - JOUR
T1 - A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions
AU - Tobias Gebäck & Alexei Heintz
JO - Communications in Computational Physics
VL - 2
SP - 487
EP - 505
PY - 2014
DA - 2014/02
SN - 15
DO - http://doi.org/10.4208/cicp.161112.230713a
UR - https://global-sci.org/intro/article_detail/cicp/7103.html
KW - 
AB - <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>