Flow through a porous membrane simulated by cellular automata and by finite elements

Computational results concerning incompressible viscous flow through two channels connected by a porous membrane are presented. The example is extraordinary for its four different types of boundary conditions that are necessary to make the problem complete. The solution is accomplished by two methods: by cellular automata and by finite elements. The numerical means to satisfy the boundary conditions are given for both methods. Overall agreement is achieved, but significant differences show up in details.