A numerical method for solving incompressible viscous flow problems (Reprinted from the Journal of Computational Physics, vol 2, pg 12-26, 1997)

A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the pressure as variables and is equally applicable to problems in two and three space dimensions. The principle of the method lies in the introduction of an artificial compressibility delta into the equations of motion, in such a way that the final results do not depend on delta. An application to thermal convection problems is presented. (C) 1967 Academic Press.