High Performance Computing in Science and Engineering ‘12 by Wolfgang E. Nagel Dietmar H. Kröner & Michael M. Resch

Author:Wolfgang E. Nagel, Dietmar H. Kröner & Michael M. Resch
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

2 Numerical Method

In the past RANS equations using among other approaches turbulence models have been used [12–14] to model film cooling problems with varying success, i.e., depending on the variant of the model, there was quite a discrepancy in the wall temperature distributions. This is caused in part by the modeling of the mixing layer between the cooling flow and the freestream, where no satisfying model to account for density gradients exist [15]. Therefore, in this study high fidelity turbulence modeling is applied, i.e., large-eddy simulations (LES) are performed.

The Navier-Stokes equations are discretized at second-order accuracy using a modified mixed-centered upwind advective upstream splitting method (AUSM) [16] for the Euler terms. The discretization of the non-Euler terms is done using a centered approximation at second-order accuracy. The temporal integration is done by a second-order five-stage low-storage Runge-Kutta method. The non-resolved subgrid scales are implicitly modeled using the MILES ansatz [17]. The viscosity is evaluated by a power law where T 0 denotes the stagnation temperature. A detailed summary of the flow solver used in this study is given by Meinke et al. [18]. The accuracy of its solutions in fully turbulent flows is discussed in [19–21]. The solution algorithm has also shown convincing results in supersonic flows involving shock-boundary-layer interactions [22].

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.