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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.

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Authors: LAVAL H, JRC Ispra (IT);QUARTAPELLE L, Politecnico di Milano, Istituto di Fisica, Milano (IT)
Bibliographic Reference: Article: International Journal for Numerical Methods in Fluids, Vol. 11 (1990) pp. 501-513
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