A time-stepping scheme for flow simulations that allows the use of large time step sizes*

We present a time-stepping scheme for incompressible Navier-Stokes equations that allows the use of time step sizes considerably larger than the commonly used semi-implicit type schemes. The scheme is based on a velocity correction type formulation, and involves only linear algebraic equations after discretization. Moreover, the computations of the velocity and pressure are decoupled. The proposed scheme and the semi-implicit scheme will be compared with several numerical problems.