Error estimates for an operator-splitting method for Navier–Stokes equations: Second-order schemes

We present in this paper an error analysis of a fractional-step method for the approximation of the unsteady incompressible Navier–Stokes equations. Under mild regularity assumptions on the continuous solution, we obtain second-order error estimates in the time step size, both for velocity and pressure. Numerical results in agreement with the error analysis are also presented.