On error estimates of some higher order penalty-projection methods for Navier-Stokes equations (Q5896702)

The author first studies existing ``higher order'' projection schemes in the semi-discretized form for the Navier-Stokes equations. One error analysis suggests that the precision of these schemes is most likely plagued by the inconsistent Neumann boundary condition satisfied by the pressure approximations. We then propose a penalty-projection scheme for which we obtain improved error estimates.