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Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model

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:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Schoenawa, Stefanstefan.schoenawa (at) dlr.deUNSPECIFIED
Hartmann, RalfRalf.Hartmann (at) dlr.deUNSPECIFIED
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
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:30 Mar 2015 16:45

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