A fractional‐step Taylor–Galerkin method for unsteady incompressible flows

摘要

AbstractThis 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 t