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

E. Bernsen, Onno Bokhove, Jacobus J.W. van der Vegt

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    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.
    Original languageUndefined
    Title of host publicationProceedings ECCOMAS CFD 2006
    EditorsP. Wesseling, E Onate, J. Periaux
    PublisherDelft University of Technology
    Number of pages8
    ISBN (Print)90-9020970-0
    Publication statusPublished - 5 Sept 2006
    Event4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 - Egmond aan Zee, Netherlands
    Duration: 5 Sept 20068 Sept 2006
    Conference number: 4

    Publication series

    NameCD Rom ECCOMAS group
    PublisherTU Delft


    Conference4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006
    Abbreviated titleECCOMAS ECFD
    CityEgmond aan Zee


    • EWI-7551
    • IR-66514
    • METIS-238233

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