期刊
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
卷 15, 期 2, 页码 487-505出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.161112.230713a
关键词
Lattice Boltzmann; diffusion; advection-diffusion; Neumann boundary condition
资金
- VINN Excellence center SuMo Biomaterials
- Vinnova
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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