Browsing by Author "Landmann, Björn"

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A parallel discontinuous Galerkin code for the Navier-Stokes and Reynolds-averaged Navier-Stokes equations
(2008) Landmann, Björn; Wagner, Siegfried (Prof. Dr.-Ing.)
The numerical simulation of flow problems has gained further importance during the recent years. This is-obviously next to the increase of computing power-due to the steady improvements of the numerical discretisation methods and the improvement of the efficiency of the associated solution algorithms. Even wider acceptance could be obtained, if the flexibility, the automatism or the efficiency of the flow simulation could be further improved. One promising and relatively new discretisation approach, which recently attracted attention, is the discontinuous Galerkin (DG) method. The DG approach seems to have the potential to solve some problems, which mainly have their origin in the presently used discretisation methods. In the present work, an attempt has been made to examine the qualities of the present state of the art discretisation methods based on the DG approach in space. Therefore, different DG methods, including some recently developed methods, are employed for the discretisation of the compressible Euler- and Navier-Stokes equations as well as for the Reynolds-averaged Navier-Stokes equations. The turbulence modeling is applied with a one-equation or a two equation model, namely the Spalart-Allmaras or the k-omega model. The temporal discretisation of the partial differential equations is either performed explicitely with the aid of classical Runge-Kutta methods or with an implicit discretisation approach.