We present a high-order cut-cell method based on the discontinuous Galerkin difference (DGD) discretization. We leverage the inherent properties of the DGD basis functions to construct a cut-cell discretization that does not require special treatment to mitigate the small-cell problem. The paper describes how the DGD discretization can be constructed from an existing discontinuous Galerkin (DG) discretization, and we highlight differences between the DG and DGD methods. By performing condition-number studies on one- and two-dimensional model problems, we demonstrate that cut-cell DGD discretization remains well conditioned even when the cut-cell volume is orders of magnitude smaller than neighboring cells. We verify the high-order accuracy of the discretization by solving the two-dimensional steady-state Euler equations.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    High-Order Cut-Cell Discontinuous Galerkin Difference Discretization


    Beteiligte:
    Kaur, Sharanjeet (Autor:in) / Yan, Ge (Autor:in) / Hicken, Jason E. (Autor:in)

    Erschienen in:

    AIAA Journal ; 61 , 10 ; 4220-4229


    Erscheinungsdatum :

    2023-06-26


    Format / Umfang :

    10 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    HIGH-ORDER DISCONTINUOUS GALERKIN DIFFERENCE CUT-CELL DISCRETIZATION

    Kaur, Sharanjeet / Hicken, Jason E. | TIBKAT | 2021


    High-order discontinuous Galerkin Difference cut-cell discretization

    Kaur, Sharanjeet / Hicken, Jason E. | AIAA | 2021


    High-Order Boundary Discretization for Discontinuous Galerkin Codes

    Lübon, Christian / Kessler, M. / Wagner, S. et al. | AIAA | 2006


    High-Order Discontinuous Galerkin Discretization of Transonic Turbulent Flows

    Bassi, F. / Crivellini, A. / Ghidoni, A. et al. | British Library Conference Proceedings | 2009


    High-Order Discontinuous Galerkin Discretization of Transonic Turbulent Flows

    Bassi, Francesco / Crivellini, Andrea / Ghidoni, Antonio et al. | AIAA | 2009