Reference : On the stability of the symmetric interior penalty method - Application to 3D compressib...
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On the stability of the symmetric interior penalty method - Application to 3D compressible RANS simulations of a high lift cascade flow
Drosson, Marcus mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Aérodynamique >]
Hillewaert, Koen mailto [Cenaero > CFD and multiphysics group > > >]
ACOMEN 2011 Proceedings
14-17 novembre 2011
Université de Liège, Universiteit Gent, Université Catholique de Louvain
[en] Discontinuous Galerkin ; interior penalty ; high-order method ; stability analysis
[en] Stability and convergence of the interior penalty (IP) discontinuous Galerkin method are closely
related to the penalty coefficient sigma_f . Whereas Shahbazi [1] has derived nearly optimal values of sigma_f for elliptic problems (assuming a constant viscosity parameter), we propose a generalisation of this definition, in order to take into account mesh anisotropy on the one hand, and strong variations of the diffusivity on the other hand, typical for Reynolds-averaged Navier-Stokes models, in particular the Spalart-Allmaras model. The adequacy of this new definition is illustrated by the application to benchmark 2D computations. Finally, a comparison with two state of the art finite volume solvers is presented for a 3D high-lift cascade flow.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Researchers ; Professionals

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