Time-marching solution of incompressible Navier-Stokes equations for internal flow (Q1087402)

A factored ADI finite-difference scheme has been developed for solution of the two-dimensional incompressible Navier-Stokes equations by the artificial compressibility method. The scheme employs primitive variables with central differencing on a staggered grid. The resulting close coupling between pressure and velocity produces enhanced stability and eliminates the need for artificial damping. A spatially variable time step based on a fixed Courant number is used to improve computational efficiency. Numerical results have been obtained for flows in a straight channel, a curved rotating channel, and a driven cavity.