A fractional-step Taylor-Galerkin method for unsteady incompressible flows
Abstract
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 nonlinear convection written in nonconservative form is presented. Numerical results are provided to illustrate the quality of the computed transient solutions in two dimensions.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- October 1990
- DOI:
- 10.1002/fld.1650110504
- Bibcode:
- 1990IJNMF..11..501L
- Keywords:
-
- Finite Element Method;
- Galerkin Method;
- Incompressible Flow;
- Navier-Stokes Equation;
- Unsteady Flow;
- Convective Flow;
- Flow Distribution;
- Stream Functions (Fluids);
- Vortex Shedding;
- Fluid Mechanics and Heat Transfer