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The moment propagation method for advection-diffusion in the Lattice Boltzmann method: validation and Péclet number limits

R. M. H. Merks, A. G. Hoekstra, and P. M. A. Sloot. 2002 The moment propagation method for advection-diffusion in the Lattice Boltzmann method: validation and Péclet number limits. Journal of Computational Physics, 183:563-576.

We numerically validate the moment propagation method for advection-diffusion in a Lattice Boltzmann simulation against the analytic Taylor-Aris prediction for dispersion in a three-dimensional Poiseuille flow. Good agreement between simulation and the theory is found, with relative errors smaller than 2%.

The Péclet number limits on the moment propagation method are studied, and maximum parameter values are obtained. We show that a modification of the moment-propagation method allows advection-diffusion simulations with higher Péclet numbers, in particular in the low Reynolds number limit. doi:10.1006/jcph.2002.7209