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A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions
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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

Keywords:   

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