A FRACTIONAL STEP TAYLOR-GALERKIN METHOD FOR UNSTEADY INCOMPRESSIBLE FLOWS

This paper describes the application of the Taylor–Galerkin method to the calculation of incompressible viscous flows. A finite element fractional-step method for the Navier–Stokes equations is combined with the Taylor–Galerkin method to achieve an accurate treatment of the convection part of the problem. A scheme of second-order accuracy in time for the non-linear convection written in non-conservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions.