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Lattice gas automata

The lattice gas automata approach involves constructing drastically simplified microscopic models which, in spite of their schematic nature, give rise to macroscopic behaviour in agreement with what would have been obtained with a more realistic description of the microscopic degrees of freedom. A simplified microdynamics has been developed which conserves the irreducible features that are essential to the emergence of a macroscopic behaviour described by a set of partial differential equations. Amongst the successes of this approach was proof that the density fluctuation correlations observed in the numerical simulations and computed from the lattice gas theory are in agreement with the results obtained in laboratory experiments.

A lattice gas automaton has been constructed for thermal fluids. It contains intrinsic Monte Carlo noise and can be considered (in the same sense as a real fluid) as a reservoir of excitations with wavelengths and frequencies ranging from the microscopic level to the hydrodynamic scale. The model exhibits correct thermohydrodynamic fluctuations.

The technique has been used to develop models for numerical simulations of geophysical processes, such as small scale oceanic fronts and double diffusive instabilities, and of reactive phenomena where it would be well suited for application to surface catalytic reactions.

A study has been carried out on the application of the technique to interactions of vortices in 2 dimensions, where examples range from oceanic fronts to certain types of galaxy. Results suggest that the method should also prove useful in the study of turbulent diffusion.

Reported by

Universite Libre de Bruxelles
Faculte des Sciences CP231
1050 Bruxelles
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