Simple finite element method in vorticity formulation for incompressible flows. (English) Zbl 0977.76048
Summary: A finite element method is introduced for two- and three-dimensional viscous incompressible flows using the vorticity formulation. This method relies on recasting the traditional finite element method in the spirit of high-order accurate finite difference methods. Optimal accuracy of arbitrary order can be achieved using standard finite element or spectral elements. The method is convectively stable, and is particularly suited for moderate to high Reynolds number flows.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76D17 | Viscous vortex flows |
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
finite element method; three-dimensional Navier-Stokes equations; vorticity boundary conditions; error analysis; vorticity formulationReferences:
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