V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 J. C. F. Pereira and A. Sequeira (Eds) Lisbon, Portugal,14-17 June 2010 A STABILIZED FINITE ELEMENT METHOD FOR COMPRESSIBLE TURBULENT FLOWS C. Wervaecke ∗ , H. Beaugendre † and B. Nkonga †† ∗ Centre INRIA Bordeaux Sud-Ouest, Universit´ e Bordeaux 1, Campus universitaire de Talence e-mail: christelle.wervaecke@inria.fr † IMB - INRIA MC2 - IPB Universit´ e Bordeaux 1, Campus universitaire de Talence e-mail: heloise.beaugendre@math.u-bordeaux1.fr †† Laboratoire Jean-Alexandre Dieudonn´ e - INRIA PUMAS Universit´ e de Nice - Sophia Antipolis e-mail: Boniface.NKONGA@unice.fr Key words: Stabilized finite element, Turbulent flows, Spalart-Allmaras model Abstract. In this work, we use a stabilized finite element method to solve Spalart- Allmaras turbulent model for compressible flows. This method is the Streamline-Upwind Petrov-Galerkin one, which enables to put numerical viscosity only along the streamlines. The aim is to build a high order scheme in order not to pollute turbulent eddy viscosity with the diffusivity of the numerical scheme. 1