An integrated compartment method /ICM/ for the numerical solutions of Navier-Stokes equations

A new technique, an integrated compartment method (ICM), has been developed to set up the algebraic equations from the Navier-Stokes equations. It uniquely combines the merits of finite differences, finite elements, and compartment analysis. The time split procedure proposed to advance the pressure and velocity field through the time dimension is adopted to accomplish the evolution of flow dynamics by the ICM algorithm. A computer code designed to handle two- and three-dimensional problems as desired is developed to implement this technique. The program is applied to two simple cases of wake formation behind the obstacle in a channel and circulatory motion of a body of fluid in a square cavity.