Modified fully discretized projection method for the incompressible Navier-Stokes equations

The stability and convergence of a second-order fully discretized projection method for the incompressible Navier-Stokes equations is studied. In order to update the pressure field faster, modified fully discretized projection methods are proposed. It results in a nearly second-order method. This method sacrifices a little of accuracy, but it requires much less computations at each time step. It is very appropriate for actual computations. The comparison with other methods for the driven-cavity problem is presented.