A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions
Artikel i vetenskaplig tidskrift, 2014
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 con-
ditions, and is analyzed both theoretically and numerically.
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 nu-
merical investigations include time-dependent problems and a steady-state diffusion
problem for computation of effective diffusion coefficients.
Neumann boundary condition