|InterJournal Complex Systems, 90
|Manuscript Number: |
Submission Date: 972904
|Practical Application of Lattice-Gas and Lattice Boltzmann Methods to Dispersion Problems|
Subject(s): CX.04.12, CX.04.22
We compare lattice-gas and lattice Boltzmann techniques for the quantitative study of dispersion in natural systems. The principal advantage of lattice gases is speed (computational efficiency), and the ability to dilute boundary errors by using large numbers of sites; however, with large numbers of sites, viscous equilibration time can severely limit the practicality of the method. The principal advantage of lattice Boltzmann is the tunability of the transport coefficients, allowing simulations in narrow channels; however, errors in boundary conditions appear to be more serious for dispersion phenomena, than for the widely studied bulk flow (single-component) problems, and these errors may prevent the use of very small channels. Despite these problems, agreement with experimental results is often quite good, and the experimental error for dispersion measurements will often swamp the errors inherent in the numerical methods. For modeling double-diffusive fingering (salt fingering), the lattice Boltzmann method is clearly superior.
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