[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.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Drosson, Marcus ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Aérodynamique
Hillewaert, Koen; Cenaero > CFD and multiphysics group
Language :
English
Title :
On the stability of the symmetric interior penalty method - Application to 3D compressible RANS simulations of a high lift cascade flow
Publication date :
2011
Event name :
ACOMEN 2011
Event organizer :
Université de Liège, Universiteit Gent, Université Catholique de Louvain
