A posteriori error estimation for the fractional step theta discretization of the incompressible NavierStokes equations
A goal-oriented a posteriori error estimator for time-discretization with the Fractional-Step Theta Method is introduced. We introduce a PetrovGalerkin formulation, that isup to a quadrature errorequivalent to the Fractional-Step Theta time-stepping scheme. This new error estimator is applied to nonstationary incompressible flow problems.
error estimation fractional step theta incompressible navierstokes time stepping adaptivity