Lattice Gas Models for 3D Hydrodynamics
Dominique d’Humières(École Normale Supérieure - PSL), Pierre Lallemand(École Normale Supérieure - PSL), U. Frisch(Centre National de la Recherche Scientifique)
Cited by 384
Abstract
The 3D Navier-Stokes equations are obtained from two different lattice gas models. The first one has its sites on a cubic lattice and has particle speeds zero, one and √2. The second one is a 3D projection of a lattice gas implementation of the 4D Navier-Stokes equations, residing on a face-centred hypercubic lattice.
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