On the stability of the symmetric interior penalty method for the Spalart-Allmaras turbulence model

• Autores: M. Drosson, K. Hillewaert
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 246, Nº 1, 2013, págs. 122-135
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.09.019
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• Resumen

  • The stability and convergence of the interior penalty (IP) discontinuous Galerkin method are closely related to the penalty coefficient óf . Using sharp trace inequalities adapted to the functional space, Shahbazi (2005) [7] has derived optimal values of óf for constant diffusivity problems on triangular meshes. We propose a generalisation of his analysis to account for mesh anisotropy and different element types on the one hand, and strong variations of the diffusivity on the other, which characterise the Spalart�Allmaras RANS turbulence model. The adequacy of this new definition is illustrated by applications 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.