A Hermite finite element method for incompressible fluid flow

@article{Holdeman2010AHF,
  title={A Hermite finite element method for incompressible fluid flow},
  author={Jonas T. Holdeman},
  journal={International Journal for Numerical Methods in Fluids},
  year={2010},
  volume={64}
}
  • J. T. Holdeman
  • Published 10 October 2010
  • Mathematics
  • International Journal for Numerical Methods in Fluids
We describe some Hermite stream function and velocity finite elements and a divergence‐free finite element method for the computation of incompressible flow. Divergence‐free velocity bases defined on (but not limited to) rectangles are presented, which produce pointwise divergence‐free flow fields (∇·uh≡0). The discrete velocity satisfies a flow equation that does not involve pressure. The pressure can be recovered as a function of the velocity if needed. The method is formulated in primitive… 
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