The European Physical Journal Special Topics

, Volume 171, Issue 1, pp 245–249 | Cite as

The lattice Boltzmann advection-diffusion model revisited

  • B. ChopardEmail author
  • J. L. Falcone
  • J. Latt


Advection-diffusion processes can be simulated by the Lattice Boltzmann method. Two formulations have been proposed in the literature. We show that they are not fully correct (only first order accurate). A new formulation is proposed, which is shown to produce better results, both from the point of view of the Chapman-Enskog expansion or when comparing simulations with an exact time-dependent solution of the advection-diffusion equation.


European Physical Journal Special Topic Lattice Boltzmann Method Lattice Boltzmann Lattice Boltzmann Equation Lattice Boltzmann Simulation 
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Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

  1. 1.University of GenevaGenevaSwitzerland
  2. 2.Tufts UniversityMedfordUSA

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