Gregor Gassner
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MATHEMATICS COLLOQUIUM
Speaker: Gregor Gassner Abstract. Discontinuous Galerkin (DG) methods have gained considerable attention in recent years due to their proven potential for solving advection dominated problems with high accuracy requirements. Despite significant advances over the last years, DG schemes are still perceived as being too expensive when compared to other traditional methods such as Finite Difference methods. In this talk we will focus on some recent developments to enhance the efficiency of DG based discretizations of unsteady compressible turbulence, such as, for instance, a special time integrator that allows time consistent and accurate local time stepping in a natural way. Furthermore we will demonstrate that a careful implementation of DG methods for compressible Navier-Stokes equations yields a framework with higher computational efficiency than a comparable compact Finite Difference based solver. As an example, results of a direct numerical simulation of a compressible turbulent shear layer flow are presented. |