The simulation of a laminar ow in a local constriction of a pipe by a cellular automaton

A two-dimensional case of the process of laminar flow passing through a pipe constriction is investigated. The two-dimensional statement corresponds to the case with a three-dimensional flow between two parallel planes. A cellular automaton model of a flow is used, which has an integer alphabet of cell states and a synchronous operation mode. The dependences of the velocity and pressure on the coordinate along the direction of a flow for different constriction clearances and different pressure gradients at the ends of the pipe are obtained.