Regular Article
The Moment Propagation Method for Advection–Diffusion in the Lattice Boltzmann Method: Validation and Péclet Number Limits

https://doi.org/10.1006/jcph.2002.7209Get rights and content

Abstract

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 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.

References (25)

  • G. Drazer et al.

    Tracer dispersion in two-dimensional rough fractures

    Phys. Rev. E

    (2001)
  • E.G. Flekkøy

    Lattice Bhatnagar-Gross-Krook models for miscible fluids

    Phys. Rev. E

    (1993)
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