DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Investigating the Effect of the Closure in Partially-Averaged Navier–Stokes Equations

Journal Article · · Journal of Fluids Engineering
DOI: https://doi.org/10.1115/1.4043539 · OSTI ID:1529540
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Instituto Superior Técnico, Lisbon (Portugal)
  3. Maritime Research Institute Netherlands, Wageningen (The Netherlands)

For this study, the importance of the turbulence closure to the modeling accuracy of the partially-averaged Navier–Stokes equations (PANS) is investigated in prediction of the flow around a circular cylinder at Reynolds number of 3900. A series of PANS calculations at various degrees of physical resolution is conducted using three Reynolds-averaged Navier–Stokes equations (RANS)-based closures: the standard, shear-stress transport (SST), and turbulent/nonturbulent (TNT) k–ω models. The latter is proposed in this work. The results illustrate the dependence of PANS on the closure. At coarse physical resolutions, a narrower range of scales is resolved so that the influence of the closure on the simulations accuracy increases significantly. Among all closures, PANS–TNT achieves the lowest comparison errors. The reduced sensitivity of this closure to freestream turbulence quantities and the absence of auxiliary functions from its governing equations are certainly contributing to this result. It is demonstrated that the use of partial turbulence quantities in such auxiliary functions calibrated for total turbulent (RANS) quantities affects their behavior. On the other hand, the successive increase of physical resolution reduces the relevance of the closure, causing the convergence of the three models toward the same solution. Finally, this outcome is achieved once the physical resolution and closure guarantee the precise replication of the spatial development of the key coherent structures of the flow.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1529540
Report Number(s):
LA-UR-18-30333
Journal Information:
Journal of Fluids Engineering, Vol. 141, Issue 12; ISSN 0098-2202
Publisher:
ASMECopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (36)

Effect of Inflow Turbulence on an Airfoil Flow with Laminar Separation Bubble: An LES Study journal February 2018
Simulation of the flow around a circular cylinder at Re =3900 with Partially-Averaged Navier-Stokes equations journal February 2018
Flow around a circular cylinder?structure of the near wake shear layer journal February 2005
A Parametric Study of Turbulent Flow Past a Circular Cylinder Using Large Eddy Simulation journal September 2015
Resolving the Dependence on Freestream Values for the k- Turbulence Model journal July 2000
The Use of Solution Adaptive Grid for Modeling Small Scale Turbulent Structures journal May 2005
Partially-Averaged Navier-Stokes Model for Turbulence: A Reynolds-Averaged Navier-Stokes to Direct Numerical Simulation Bridging Method journal November 2005
On the simulation of the flow around a circular cylinder at R e = 140 , 000 journal April 2019
Large-Eddy Simulation of the Flow Over a Circular Cylinder at Reynolds Number 3900 Using the OpenFOAM Toolbox journal August 2012
Partially-Averaged Navier–Stokes Simulations of High-Speed Mixing Environment journal April 2014
Partially Averaged Navier–Stokes (PANS) Method for Turbulence Simulations: Flow Past a Circular Cylinder journal December 2010
Strategies for turbulence modelling and simulations journal June 2000
URANS Calculations for Smooth Circular Cylinder Flow in a Wide Range of Reynolds Numbers: Solution Verification and Validation journal November 2012
Low-frequency unsteadiness in the vortex formation region of a circular cylinder journal August 2013
Multiple-time-scale modeling of turbulent flows in one-point closures journal January 1987
The mechanics of an organized wave in turbulent shear flow journal April 1970
Partially Averaged Navier-Stokes Method for Turbulence: Fixed Point Analysis and Comparison With Unsteady Partially Averaged Navier-Stokes journal November 2005
Closure modeling in bridging regions of variable-resolution (VR) turbulence computations journal January 2013
Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900 journal August 2008
Analysis of filtered Navier–Stokes equation for hybrid RANS/LES simulation journal January 2011
Detached–eddy simulations of the flow over a cylinder at Re = 3900 using OpenFOAM journal September 2016
Turbulence: the filtering approach journal May 1992
Towards a new partially integrated transport model for coarse grid and unsteady turbulent flow simulations journal December 2004
Fluctuating lift on a circular cylinder: review and new measurements journal January 2003
Two-equation eddy-viscosity turbulence models for engineering applications journal August 1994
The velocity field of the turbulent very near wake of a circular cylinder journal April 1996
Challenges in Scale-Resolving Simulations of turbulent wake flows with coherent structures journal June 2018
The instability of the shear layer separating from a bluff body journal February 1997
Reassessment of the scale-determining equation for advanced turbulence models journal November 1988
A New Version of Detached-eddy Simulation, Resistant to Ambiguous Grid Densities journal May 2006
Development of DDES and IDDES Formulations for the k-ω Shear Stress Transport Model journal November 2011
Numerical and modeling influences on large eddy simulations for the flow past a circular cylinder journal October 1998
Simulation of Wingtip Vortex Flows with Reynolds-Averaged Navier–Stokes and Scale-Resolving Simulation Methods journal March 2019
Partially-averaged Navier-Stokes method for turbulent flows: k-w model implementation conference June 2012
Zonal Two Equation k-w Turbulence Models For Aerodynamic Flows conference February 2013
Flow Past a Circular Cylinder: A Comparison Between RANS and Hybrid Turbulence Models for a Low Reynolds Number
  • Pereira, Filipe S.; Vaz, Guilherme; Eça, Luís
  • ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering, Volume 2: CFD and VIV https://doi.org/10.1115/OMAE2015-41235
conference October 2015