A fractional-step Taylor-Galerkin method for unsteady incompressible flows. (English) Zbl 0711.76019

Summary: 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 equation 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 nonlinear convection written in non-conservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions.


76D05 Navier-Stokes equations for incompressible viscous fluids
76R50 Diffusion
76M10 Finite element methods applied to problems in fluid mechanics
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