PANS Methodology Applied to Elliptic-Relaxation Based Eddy Viscosity Transport Model Branislav Basara, Siniˇ sa Krajnovi´ c, and Sharath Girimaji Abstract. The Partially-Averaged Navier-Stokes (PANS) approach is a recently proposed method which changes seamlessly from the Reynolds-Averaged Navier- Stokes (RANS) model equations to the direct numerical solution (DNS) of the Navier-Stokes equations as the unresolved-to-total ratios of kinetic energy and dis- sipation are varied. Two variants of the PANS model are derived up to now, one based on the k-ε formulation and the other based on the k-ω formulation. We intro- duce here another variant which is based on four equation eddy viscosity transport model, namely ζ -f turbulence model. Benefits of using such near wall model inside the PANS concept are clearly presented in this paper. 1 Introduction The Large-Eddy Simulation (LES) has become a very popular method for simu- lating turbulent flows in recent years. This method is certainly superior to RANS methods in strongly separated flows, since it simulates directly the large turbulent structures and models only the influence of the sub-grid scales on the resolved ones. However, LES is a computationally demanding technique and for this reason it will not be feasible to compute complex industrial flows at higher Reynolds numbers Branislav Basara Advanced Simulation Technologies, AVL List GmbH, Hans-List-Platz 1, 8020 Graz, Austria e-mail: branislav.basara@avl.com Siniˇ sa Krajnovi´ c Department of Applied Mechanics, Chalmers University of Technology, SE-41296 Gothenburg e-mail: sinisa@chalmers.se Sharath Girimaji Aerospace Engineering Department, Texas A&M University, College Station, TX 77843, USA e-mail: girimaji@aeromail.tamu.edu M. Deville, T.-H. Lˆ e, and P. Sagaut (Eds.): Turbulence and Interactions, NNFM 110, pp. 63–69. springerlink.com c  Springer-Verlag Berlin Heidelberg 2010