Year: 2014
Communications in Computational Physics, Vol. 15 (2014), Iss. 2 : pp. 487–505
Abstract
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.
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.161112.230713a
Communications in Computational Physics, Vol. 15 (2014), Iss. 2 : pp. 487–505
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19