Reference : On the stability of the symmetric interior penalty method - Application to 3D compressib...

	Document type :	Scientific congresses and symposiums : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Aerospace & aeronautics engineering
	To cite this reference:	http://hdl.handle.net/2268/122346

Title :	On the stability of the symmetric interior penalty method - Application to 3D compressible RANS simulations of a high lift cascade flow
Language :	English
Author, co-author :	Drosson, Marcus [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Aérodynamique >]
	Hillewaert, Koen [Cenaero > CFD and multiphysics group > > >]
Publication date :	2011
Main document title :	ACOMEN 2011 Proceedings
Audience :	International
ISBN :	978-2-9601-143-1-7
Event name :	ACOMEN 2011
Event date :	14-17 novembre 2011
Event organizer :	Université de Liège, Universiteit Gent, Université Catholique de Louvain
Event place (city) :	Liège
Event country :	Belgium
Keywords :	[en] Discontinuous Galerkin ; interior penalty ; high-order method ; stability analysis
Abstract :	[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.
Funders :	Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/2268/122346
Other URL :	http://www.ltas.ulg.ac.be/acomen2011/NewWebSite/index.html

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