Numerical solutions of Navier-Stokes equations with an integrated compartment method (ICM).

The basic procedures of the ICM are first to discretize the region of interest into compartments, then to apply three integral theorems to vectors to transform the volume integral to the surface integral , and finally to use interpolation to relate the interfacial values in terms of compartment values to close the system. These procedures are applied to the Navier-Stokes equations to yield the computational algorithm from which computer programs can be coded. The computer code is designed to solve one-, two-, or three- dimensional problems as desired. The program is applied to two simple cases: wake formation behind an obstacle in a channel and circulatory motion of a body of fluid in the square cavity. These preliminary applications have shown promising results. (A)