Tell a friend
Print
Schoenawa, Stefan and Hartmann, Ralf (2014) Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model. Journal of Computational Physics, 262 (04), pp. 194-216. Elsevier. doi: 10.1016/j.jcp.2013.12.062. ISSN 0021-9991.
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.jcp.2013.12.062
Abstract
In this article we consider the development of Discontinuous Galerkin (DG) methods for the numerical approximation of the Reynolds-averaged Navier-Stokes (RANS) equations with the shear-stress transport (SST) model by Menter. This turbulence model is based on a blending of the Wilcox k-omega model used near the wall and the k-epsilon model used in the rest of the domain where the blending functions depend on the distance to the nearest wall. For the computation of the distance of each quadrature point in the domain to the nearest of the curved, piecewise polynomial wall boundaries, we propose a stabilized continuous finite element (FE) discretization of the eikonal equation. Furthermore, we propose a new wall boundary condition for the dissipation rate w based on the projection of the analytic near-wall behavior of w onto the discrete ansatz space of the DG discretization. Finally, we introduce an artificial viscosity to the discretization of the turbulence kinetic energy (k-)equation to suppress oscillations of k near the underresolved boundary layer edge. The wall distance computation based on the continuous FE discretization of the eikonal equation is demonstrated for an internal and three external/aerodynamic flow geometries including a three-element high-lift configuration. The DG discretization of the RANS equations with the SST model is demonstrated for turbulent flows past a flat plate and the RAE2822 airfoil (Cases 9 and 10). The results are compared to the underlying k-omega model and experimental data.
| Item URL in elib: | https://elib.dlr.de/92436/ | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Document Type: | Article | |||||||||
| Title: | Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model | |||||||||
| Authors: |
| |||||||||
| Date: | April 2014 | |||||||||
| Journal or Publication Title: | Journal of Computational Physics | |||||||||
| Refereed publication: | Yes | |||||||||
| Open Access: | No | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | Yes | |||||||||
| In ISI Web of Science: | Yes | |||||||||
| Volume: | 262 | |||||||||
| DOI: | 10.1016/j.jcp.2013.12.062 | |||||||||
| Page Range: | pp. 194-216 | |||||||||
| Publisher: | Elsevier | |||||||||
| ISSN: | 0021-9991 | |||||||||
| Status: | Published | |||||||||
| Keywords: | Discontinuous Galerkin methods, aerodynamic flows, Reynolds-averaged Navier-Stokes equations, Menter SST model | |||||||||
| HGF - Research field: | Aeronautics, Space and Transport | |||||||||
| HGF - Program: | Aeronautics | |||||||||
| HGF - Program Themes: | fixed-wing aircraft | |||||||||
| DLR - Research area: | Aeronautics | |||||||||
| DLR - Program: | L AR - Aircraft Research | |||||||||
| DLR - Research theme (Project): | L - Simulation and Validation (old) | |||||||||
| Location: | Braunschweig | |||||||||
| Institutes and Institutions: | Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering | |||||||||
| Deposited By: | Hartmann, Dr.rer.nat. Ralf | |||||||||
| Deposited On: | 25 Nov 2014 13:56 | |||||||||
| Last Modified: | 28 Mar 2023 23:42 |
Repository Staff Only: item control page
