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.