# A Galerkin implementation of the generalized Helmholtz decomposition of vorticity formulations

@article{Ingber2001AGI, title={A Galerkin implementation of the generalized Helmholtz decomposition of vorticity formulations}, author={Marc S. Ingber and S. Kempka}, journal={Journal of Computational Physics}, year={2001}, volume={169}, pages={215-237} }

Abstract Vorticity formulations for the incompressible Navier–Stokes equations have certain advantages over primitive-variable formulations including the fact that the number of equations to be solved is reduced. However, the accurate implementation of the boundary conditions seems to continue to be an impediment to the acceptance and use of numerical methods based on vorticity formulations. Velocity boundary conditions can be implicitly satisfied by maintaining the kinematic compatibility of…

## 20 Citations

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