The objective of our project is the development of high-order methods for the unsteady Euler and Navier Stokes equations. For this, we consider an explicit DG scheme formulated in a space-time context called the Space-Time Expansion DG scheme (STE-DG). Our focus lies on the improvement of two main aspects: Increase of efficiency in the temporal and spatial discretization by giving up the assumption that all grid cells run with the same time step and introducing local time-stepping and the shock capturing property, where we have adopted the artificial viscosity approach as described by Persson and Peraire to our STE-DG scheme. Thus, we try to resolve the shock within a few relatively large grid cells forming a narrow viscous profile by locally adding some amount of artificial viscosity.


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    Titel :

    An Explicit Space-Time Discontinuous Galerkin Scheme with Local Time-Stepping for Unsteady Flows


    Beteiligte:
    Altmann, Christoph (Autor:in) / Gassner, Gregor (Autor:in) / Lörcher, Frieder (Autor:in) / Taube, Arne (Autor:in) / Utzmann, Jens (Autor:in) / Munz, C.D. (Autor:in)


    Erscheinungsdatum :

    2010


    Format / Umfang :

    8 Seiten





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Print


    Sprache :

    Englisch




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