Flow Past a Backward-Facing Step: Comparison of PANS, DES and URANS Results with Experiments

Flow past a backward-facing step is computed using three different turbulence modeling approaches; Detached Eddy Simulation (DES), Unsteady Reynolds Averaged Navier-Stokes (URANS), and the newly developed Partially Averaged Navier-Stokes (PANS) [1, 2] method. PANS is a family of closure models parameterized by different ratios of resolved-to-modeled kinetic energy and dissipation. The corresponding resolution control parameters are f k (the ratio of unresolved to total kinetic energy) and f ϵ (the ratio of unresolved-to-total dissipation). The main objectives of this study are: (i) to investigate the merits of PANS relative to the other two methods by comparing against existing experimental data; and (ii) to examine the effect of the PANS parameter f ϵ on the computed flow field. In addition, we study the sensitivity of PANS results to grid-size and the level of unsteadiness in the inflow. Overall, the results clearly demonstrate the suitability of PANS for computing unsteady turbulent flows at a reasonable computational expense.

[1]  C. G. Speziale Turbulence modeling for time-dependent RANS and VLES : a review , 1998 .

[2]  Charles G. Speziale Computing non-equilibrium turbulent flows with time-dependent rans and vles , 1997 .

[3]  H. Kaltenbach Direct Numerical Simulation of Flow over a Swept Rearward-Facing Step , 1999 .

[4]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[5]  M. Germano,et al.  Turbulence: the filtering approach , 1992, Journal of Fluid Mechanics.

[6]  Robert D. Moser,et al.  Direct Simulation of a Self-Similar Turbulent Mixing Layer , 1994 .

[7]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[8]  Paul Batten,et al.  LNS - An approach towards embedded LES , 2002 .

[9]  H. L. Seegmiller,et al.  Features of a reattaching turbulent shear layer in divergent channel flow , 1985 .

[10]  Eunhwan Jeong,et al.  Partially averaged navier-stokes method for turbulence : Fixed point analysis and comparison with unsteady partially averaged navier-stokes , 2006 .

[11]  Mehdi R. Khorrami,et al.  Time-Accurate Simulations and Acoustic Analysis of Slat Free Shear Layer , 2002 .

[12]  P. Moin,et al.  Computation of Trailing-Edge Flow and Noise Using Large-Eddy Simulation , 2000 .

[13]  Parviz Moin,et al.  Direct numerical simulation of a three‐dimensional turbulent boundary layer , 1990 .

[14]  Pierre Sagaut,et al.  Trailing-Edge Noise Prediction Using Large-Eddy Simulation and Acoustic Analogy , 2000 .

[15]  Mehdi R. Khorrami,et al.  Time-Accurate Simulations and Acoustic Analysis of Slat Free-Shear-Layer: Part II , 2001 .

[16]  James R. Forsythe,et al.  Detached-Eddy Simulation of the Separated Flow around a Forebody Cross-Section , 2001 .

[17]  S. Girimaji Partially-Averaged Navier-Stokes Model for Turbulence: A Reynolds-Averaged Navier-Stokes to Direct Numerical Simulation Bridging Method , 2006 .

[18]  Christopher L. Rumsey,et al.  Upwind Navier-Stokes solutions for separated periodic flows , 1986 .

[19]  E. Saiki,et al.  A subgrid-scale model based on the estimation of unresolved scales of turbulence , 1997 .

[20]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[21]  M. Germano,et al.  From RANS to DNS: Towards a Bridging Model , 1999 .

[22]  P. Spalart Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

[23]  C. Pantano,et al.  Contributions of DNS to the Investigation of Compressible Turbulent Shear Flows , 1999 .