A (dis)continuous Finite Element Model for Generalized 2d Vorticity Dynamics
نویسندگان
چکیده
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 finiteelement 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-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 twodimensional vortical flows using our (dis)continuous Galerkin finite element method.
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