Abstract
Some possibilities of simulations using lattice gas models are illustrated. Starting from a lattice, the model, initially developped in statistical physics[5], generates random walks of a population of particles in mechanical interactions, respecting basic physical conservation laws (mass and momentum). The behaviour of this model reproduces viscous flows obeying the Navier-Stokes equations. When considering different types of particles, it is possible to introduce rules of interaction that mimic processes, based on transport phenomena, which generate random media on a lattice. This physical approach of simulations is illustrated by constructing random aggregates obtained by diffusion, nucleation and growth, under various hydrodynamical conditions.
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© 1994 Springer Science+Business Media Dordrecht
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Brémond, R., Jeulin, D. (1994). Random media and lattice gas simulations. In: Armstrong, M., Dowd, P.A. (eds) Geostatistical Simulations. Quantitative Geology and Geostatistics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8267-4_8
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DOI: https://doi.org/10.1007/978-94-015-8267-4_8
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