The PANS k–ε model in a zonal hybrid RANS–LES formulation

A new approach to use the partially averaged Navier-Stokes (PANS) model as a hybrid RANS-LES model is presented. It is evaluated in fully developed channel flow and embedded LES in a hump flow. For the channel flow, the two RANS-LES interfaces are parallel to the walls. In the URANS region, f(k) is set to one. In the LES region, f(k) is set to a constant value (the baseline value is f(k) = 0.4) or it is computed. It is found that the new model gives good results for channel flow for a large span of Reynolds numbers (4000 <= Re-tau <= 32,000). In the channel flow simulations, three different grids are used in the wall-parallel planes, 32(2), 64(2) and 128(2), and the model yields virtually grid-independent flow fields and turbulent viscosities. Embedded LES is used for the hump flow which is well predicted. The RANS-LES interface is normal to the flow from the inlet. RANS is used upstream of the interface. Downstream this interface, RANS is used near the wall and LES is used away from the wall. (C) 2014 Elsevier Inc. All rights reserved.

[1]  Elias Balaras,et al.  The inner–outer layer interface in large-eddy simulations with wall-layer models , 2003 .

[2]  Shia-Hui Peng,et al.  Hybrid LES‐RANS modelling: a one‐equation SGS model combined with a k–ω model for predicting recirculating flows , 2003 .

[3]  Philippe R. Spalart,et al.  Detached-Eddy Simulations Past a Circular Cylinder , 2000 .

[4]  Anthony E. Washburn,et al.  A Separation Control CFD Validation Test Case. Part 1; Baseline and Steady Suction , 2004 .

[5]  Lars Davidson,et al.  Hybrid LES/RANS Using Synthesized Turbulence for Forcing at the Interface , 2004 .

[6]  Florian R. Menter,et al.  The Scale-Adaptive Simulation Method for Unsteady Turbulent Flow Predictions. Part 1: Theory and Model Description , 2010 .

[7]  S. Girimaji,et al.  Partially Averaged Navier-Stokes Method: Modeling and Simulation of Low Reynolds Number Effects in Flow Past a Circular Cylinder , 2011 .

[8]  B. V. Leer,et al.  Towards the Ultimate Conservative Difference Scheme , 1997 .

[9]  Lars Davidson,et al.  Hybrid LES-RANS: An approach to make LES applicable at high Reynolds number , 2005 .

[10]  Sharath S. Girimaji,et al.  Closure modeling in bridging regions of variable-resolution (VR) turbulence computations , 2013 .

[11]  Javier Jiménez,et al.  Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003 , 2006 .

[12]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[13]  Lars Davidson,et al.  Using Isotropic Synthetic Fluctuations as Inlet Boundary Conditions for Unsteady Simulations , 2007 .

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

[15]  Shia-Hui Peng,et al.  A low Reynolds number variant of partially-averaged Navier–Stokes model for turbulence , 2011 .

[16]  Sinisa Krajnovic,et al.  Near-Wall Formulation of the Partially Averaged Navier-Stokes Turbulence Model , 2011 .

[17]  Strategies for turbulence modelling and simulations , 2000 .

[18]  Roland Schiestel,et al.  Towards a new partially integrated transport model for coarse grid and unsteady turbulent flow simulations , 2005 .

[19]  P. Spalart,et al.  A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities , 2008 .

[20]  Large Eddy Simulation of Heat Transfer in Boundary Layer and Backstep Flow Using PANS , 2012 .

[21]  J. Fröhlich,et al.  Hybrid LES/RANS methods for the simulation of turbulent flows , 2008 .

[22]  L. Temmerman,et al.  A hybrid two-layer URANS–LES approach for large eddy simulation at high Reynolds numbers , 2005 .

[23]  Bin Ji,et al.  Partially-Averaged Navier–Stokes method with modified k–ε model for cavitating flow around a marine propeller in a non-uniform wake , 2012 .

[24]  Lars Davidson,et al.  Hybrid LES–RANS: back scatter from a scale-similarity model used as forcing , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[25]  Sukumar Chakravarthy,et al.  Interfacing Statistical Turbulence Closures with Large-Eddy Simulation , 2004 .

[26]  Henry Dol,et al.  EXTRA-LARGE EDDY SIMULATION OF MASSIVELY SEPARATED FLOWS , 2004 .

[27]  Lars Davidson,et al.  Hybrid LES-RANS using synthesized turbulent fluctuations for forcing in the interface region , 2006 .

[28]  Florian R. Menter,et al.  The Scale-Adaptive Simulation Method for Unsteady Turbulent Flow Predictions. Part 2: Application to Complex Flows , 2010 .

[29]  A. Smits,et al.  Scaling of global properties of turbulence and skin friction in pipe and channel flows , 2010, Journal of Fluid Mechanics.

[30]  Shia-Hui Peng,et al.  Embedded Large-Eddy Simulation Using the Partially Averaged Navier–Stokes Model , 2013 .

[31]  S. Girimaji,et al.  Partially-averaged Navier Stokes Model for Turbulence: Implementation and Validation , 2005 .

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

[33]  Bruno Chaouat,et al.  A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows , 2005 .

[34]  A. Hamed,et al.  Assessment of Partially Averaged Navier Stokes (PANS) Multiscale Model in Transonic Turbulent Separated Flows , 2007 .

[35]  Keith B. Paschal,et al.  A Separation Control CFD Validation Test Case Part 2. Zero Efflux Oscillatory Blowing , 2005 .

[36]  M. Leschziner,et al.  Large Eddy Simulation of Separated Flow over a Two-dimensional Hump with and without Control by Means of a Synthetic Slot-jet , 2009 .

[37]  Sharath S. Girimaji,et al.  Flow Past a Backward-Facing Step: Comparison of PANS, DES and URANS Results with Experiments , 2006 .

[38]  Wu Yulin,et al.  Unsteady Cavitating Flow around a Hydrofoil Simulated Using the Partially-Averaged Navier?Stokes Model , 2012 .

[39]  Suad Jakirlić,et al.  Computational analysis of locally forced flow over a wall-mounted hump at high-Re number , 2006 .