Partially-Averaged Navier-Stokes (PANS) Simulations of Lid-Driven Cavity Flow—Part 1: Comparison with URANS and LES
Multiple-resolution simulations of lid-driven cavity flows at Reynolds number of 10,000 are performed at two cavity aspect ratios (SAR) of 3:1:1 and 1:1:1. The objective is to assess the LES (Large eddy simulations), URANS (unsteady Reynolds-averaged Navier-Stokes) and PANS (partially-averaged Navier-Stokes) results against available experimental data. All of the approaches reasonably capture the mean flow velocity field for this low Reynolds number case. It is also shown that the second moments are rather small. Therefore, turbulence, while present, does not profoundly affect the mean flow statistics. It is shown that much of the flow unsteadiness is due to large scale structures that are reasonably resolved even in the URANS computation. It is expected that the distinction between the computations of different degrees of fidelity will be evident only at much higher Reynolds numbers.
KeywordsTurbulent Kinetic Energy Smagorinsky Model Turbulent Shear Stress Shear Stress Profile Total Turbulent Kinetic Energy
The authors would like to thank Kyle Knox for his assistance in the initial phase of this project. The Texas A&M Supercomputing Facility (http://sc.tamu.edu/) is gratefully acknowledged for providing computing resources useful in conducting the research reported in this paper. The work was supported by NASA NRA #NNXA161A.
- 1.Koseff, J.R., Street, R.L.: The lid-driven cavity flow: a synthesis of qualitative and quantitative comparisons. Trans. ASME 106, 390–398 (1984)Google Scholar
- 4.Razi P., Venugopal, V., Jagannathan, S., Girimaji, S.: Partially-averaged Navier-Stokes (PANS) simulations of lid-driven cavity flow—part ii: flow structures. In: 5th Symposium on Hybrid RANS-LES Methods (2014)Google Scholar
- 5.Lakshmipathy, S., Girimaji, S.S.: Partially-averaged Navier-Stokes method for turbulent flows: k-\(\omega \) model implementation. AIAA Paper 119:2006 (2006)Google Scholar
- 7.Murthi, A., Reyes, D., Girimaji, S., Basara, B: Turbulent transport modelling for pans and other bridging closure approaches. In: Proceedings of V European Conference on CFD, ECCOMAS CFD (2010)Google Scholar
- 8.Lakshmipathy, S.: Partially averaged Navier-Stokes method for turbulence closures: characterization of fluctuations and extension to wall bounded flows. Ph.D. dissertation, Texas A&M University (2009)Google Scholar
- 9.Germano, M., Piomelli, U., Moin, P., Cabot, W.H: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A: Fluid Dyn. (1989–1993), 3(7), 1760–1765 (1991)Google Scholar
- 10.Ghosal, S., Lund, T.S., Moin, P., Akselvoll, K.: A dynamic localization model for large-eddy simulation of turbulent flows. J. Fluid Mech. 286, 229–255 (1995)Google Scholar
- 11.Girimaji, S.S., Abdol-Hamid, K.S.: Partially-averaged Navier-Stokes model for turbulence: implementation and validation. Number 0502. AIAA (2005)Google Scholar
- 12.Girimaji, S.S.: Partially-averaged Navier-Stokes model for turbulence: a Reynolds-averaged Navier-Stokes to direct numerical simulation bridging method. J. Appl. Mech. 73(3), 413–421 (2006)Google Scholar
- 13.Girimaji, S.S., Suman, S.: Partially averaged Navier Stokes (PANS) method for turbulence simulations: theory and practice. In: Progress in Hybrid RANS-LES Modelling, pp. 29–43. Springer, New York (2012)Google Scholar
- 14.OpenCFD: OpenFOAM—The Open Source CFD Toolbox—User’s Guide, 1.4 edn. OpenCFD Ltd., Bracknell (2007)Google Scholar
- 15.Jordan, S.A., Ragab, S.A.: On the unsteady and turbulent characteristics of the three-dimensional shear-driven cavity flow. J. Fluids Eng. 106, 386–389 (1984)Google Scholar