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

M. Drosson, K. Hillewaert

• 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.