Diffusion and hydrodynamic dispersion with the lattice Boltzmann method

A. Calì, S. Succi, A. Cancelliere, R. Benzi, and M. Gramignani
Phys. Rev. A 45, 5771 – Published 1 April 1992
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Abstract

A simple reinterpretation of the lattice Boltzmann equation is presented that allows it to track passive scalar dynamics in grossly irregular geometries without adding any new ingredient to the basic hydrodynamic algorithm. The scheme is numerically demonstrated for two representative test cases: diffusion in two-dimensional fractal media and Taylor hydrodynamic dispersion.

  • Received 9 August 1991

DOI:https://doi.org/10.1103/PhysRevA.45.5771

©1992 American Physical Society

Authors & Affiliations

A. Calì

  • IBM European Center for Scientific and Engineering Computing, Via del Giorgione 159, 00147 Rome, Italy
  • Department of Hydraulic Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

S. Succi

  • IBM European Center for Scientific and Engineering Computing, Via del Giorgione 159, 00147 Rome, Italy

A. Cancelliere

  • Department of Hydraulic Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

R. Benzi

  • Physics Department, University of Rome ‘‘Tor Vergata,’’ Via E. Carnevale, 00173 Rome, Italy

M. Gramignani

  • Department of Hydraulic Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy

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Vol. 45, Iss. 8 — April 1992

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