A (dis)continuous finite element model for generalized 2D vorticity dynamics

Bernsen, E. and Bokhove, O. and van der Vegt, J.J.W. (2006) A (dis)continuous finite element model for generalized 2D vorticity dynamics. In: Proceedings ECCOMAS CFD 2006, 4-8 Sept. 2006, Egmond aan Zee.

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Abstract:	A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finite-element model are the allowance of complex shaped domains and (fixed) mesh refinement, and a (spatial) discretization preserving energy and vorticity, while the discrete enstrophy is $L^2$ -stable. Verification examples support our error estimates. The method is fully described in Bernsen et al. (2005, 2006). To illustrate our method, we therefore focus here on finite-element simulations of curved critical layers in two-dimensional vortical flows using our (dis)continuous Galerkin finite element method.
Item Type:	Conference or Workshop Item
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematics of Computational Science (MaCS)
Link to this item:	http://purl.utwente.nl/publications/66514
Official URL:	http://proceedings.fyper.com/eccomascfd2006/htmlfiles/96.html
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