Direct simulation of a permeable membrane

Abstract

Cellular automata are used to compute flow thru a permeable membrane. Scattering centers constitute the membrane. This is in marked contrast to the approach of classical hydrodynamics which represents a membrane by a boundary condition. With the scattering centers we obtain different, but more plausible results indicating that simple diffusion is the dominating process in a porous layer. We have thus a case where cellular automata show superiority over the classical methods of theoretical hydrodynamics