Interfaces, multiphase flow, and lattice-gas automata
Daniel H. Rothman
Department of Earth, Atmospheric, and Planetary Sciences
Massachusetts Institute of Technology
Momentum-conserving lattice gases are simple, discrete, microscopic models
of fluids that may be generalized to simulate immiscible fluid mixtures,
phase separation, interfaces, and multiphase flow. After an introductory
review of the hydrodynamics of these models, two applications are considered.
In the first, we study the dynamical roughening of fluctuating fluid interfaces
and compare results with theoretical predictions. In the second, we study how
two fluids flow through porous media. This latter study includes simulations
of 3D flow through a high-resolution tomographic reconstruction of a real
sandstone and comparisons with experiments.