Effect of grid sensitivity on the performance of wall adapting SGS models for LES of swirling and separating-reattaching flows. (English) Zbl 1442.65239
Summary: The present study assesses the performance of the Wall Adapting SGS models along with the Dynamic Smagorinsky model for flows involving separation, reattachment and swirl. Due to the simple geometry and wide application in a variety of engineering systems, the Backward-Facing Step (BFS) geometry and Confined Swirling Flow (CSF) geometry are invoked in the present case. The calculation of the SGS stresses employs three models, namely, the Dynamic Smagorinsky model, the Wall Adapting Local Eddy viscosity (WALE) model and the Dynamic WALE model. For studying the effect of the grid sensitivity, the simulations are performed over two sets of grids with different resolutions based on the non-dimensional wall distance parameter \((y^+)\). Grids corresponding to \(y^+=70\) and \(y^+=20\) are employed for the subsonic flow over the BFS while grids corresponding to \(y^+=40\) and \(y^+ =20\) are employed for supersonic flow over the BFS and for confined swirling flow geometry. The validation against the experimental results includes the mean flow fields and the turbulent stresses obtained for each case. The results reveal that for the fine grid \((y^+=20)\), the near wall eddy viscosity profile for the WALE model is better than both the Dynamic WALE and the Dynamic Smagorinsky model. The difference between the predictions of the coarse and fine grids for Dynamic Smagorinsky and the WALE model is high whereas, the Dynamic WALE model is almost insensitive to the grid resolutions considered for the present case. The mean velocity and pressure values as well as the turbulent quantities predicted by the Dynamic WALE model are closest to the experimental values for all the cases.
MSC:
| 65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
References:
| [1] | Smagorinsky, J., General circulation experiments with the primitive equations: I. the basic experiment, Mon. Weather Rev., 91, 3, 99-164 (1963) |
| [2] | Germano, M.; Piomelli, U.; Moin, P.; Cabot, W. H., A dynamic subgrid-scale eddy viscosity model, Phys. Fluids A, 3, 7, 1760-1765 (1991) · Zbl 0825.76334 |
| [3] | Mizushina, T.; Ogino, F., Eddy viscosity and universal velocity profile in turbulent flow in a straight pipe, J. Chem. Eng. Japan, 3, 2, 166-170 (1970) |
| [4] | Nicoud, F.; Ducros, F., Subgrid-scale stress modelling based on the square of the velocity gradient tensor, Flow, Turbul. Combust., 62, 3, 183-200 (1999) · Zbl 0980.76036 |
| [5] | Lilly, D. K., A proposed modification of the germano subgrid-scale closure method, Phys. Fluids A, 4, 3, 633-635 (1992) |
| [6] | Toda, H. B.; Truffin, K.; Nicoud, F., Is the dynamic procedure appropriate for all sgs models, (V European Conference on Computational Fluid Dynamics (2010), ECCOMAS: ECCOMAS Lisbon, Portugal), 14-17 |
| [7] | Kumar, G.; Lakshmanan, S.; Gopalan, H.; De, A., Investigation of the sensitivity of turbulent closures and coupling of hybrid rans-les models for predicting flow fields with separation and reattachment, Internat. J. Numer. Methods Fluids, 83, 12, 917-939 (2017) |
| [8] | Soni, R.; Arya, N.; De, A., Characterization of turbulent supersonic flow over a backward-facing step, AIAA J., 1-19 (2017) |
| [9] | Kravchenko, A.; Moin, P., On the effect of numerical errors in large eddy simulations of turbulent flows, J. Comput. Phys., 131, 2, 310-322 (1997) · Zbl 0872.76074 |
| [10] | Geurts, B. J.; Fröhlich, J., A framework for predicting accuracy limitations in large-eddy simulation, Phys. Fluids, 14, 6, L41-L44 (2002) · Zbl 1185.76143 |
| [11] | Celik, I.; Cehreli, Z.; Yavuz, I., Index of resolution quality for large eddy simulations, J. Fluids Eng., 127, 5, 949-958 (2005) |
| [12] | Klein, M., An attempt to assess the quality of large eddy simulations in the context of implicit filtering, Flow, Turbul. Combust., 75, 1-4, 131-147 (2005) · Zbl 1331.76059 |
| [13] | Pope, S. B., Turbulent flows (2001), IOP Publishing |
| [14] | Weiss, J. M.; Smith, W. A., Preconditioning applied to variable and constant density flows, AIAA J., 33, 11, 2050-2057 (1995) · Zbl 0849.76072 |
| [15] | Edwards, J. R., A low-diffusion flux-splitting scheme for navier-stokes calculations, Comput. & Fluids, 26, 6, 635-659 (1997) · Zbl 0911.76055 |
| [16] | Das, P.; De, A., Numerical investigation of flow structures around a cylindrical afterbody under supersonic condition, Aerosp. Sci. Technol., 47, 195-209 (2015) |
| [17] | Das, P.; De, A., Numerical study of flow physics in supersonic base-flow with mass bleed, Aerosp. Sci. Technol., 58, 1-17 (2016) |
| [18] | De, A.; Acharya, S., Large eddy simulation of premixed combustion with a thickened-flame approach, J. Eng. Gas Turbines Power, 131, 6, Article 061501 pp. (2009) |
| [19] | De, A.; Acharya, S., Large eddy simulation of a premixed bunsen flame using a modified thickened-flame model at two reynolds number, Combust. Sci. Technol., 181, 10, 1231-1272 (2009) |
| [20] | De, A.; Zhu, S.; Acharya, S., An experimental and computational study of a swirl-stabilized premixed flame, (ASME Turbo Expo 2009: Power for Land, Sea, and Air (2009), American Society of Mechanical Engineers), 951-968 |
| [21] | De, A.; Acharya, S., Parametric study of upstream flame propagation in hydrogen-enriched premixed combustion: Effects of swirl, geometry and premixedness, Int. J. Hydrog. Energy, 37, 19, 14649-14668 (2012) |
| [22] | De, A.; Acharya, S., Dynamics of upstream flame propagation in a hydrogen-enriched premixed flame, Int. J. Hydrogen Energy, 37, 22, 17294-17309 (2012) |
| [23] | Eaton, J.; Johnston, J., A review of research on subsonic turbulent flow reattachment, AIAA J., 19, 9, 1093-1100 (1981) |
| [24] | Kuehn, D. A.D., Effects of adverse pressure gradient on the incompressible reattaching flow over a rearward-facing step, AIAA J., 18, 3, 343-344 (1980) |
| [25] | Narayanan, M. B.; Khadgi, Y.; Viswanath, P., Similarities in pressure distribution in separated flow behind backward-facing steps, Aeronaut. Q., 25, 4, 305-312 (1974) |
| [26] | Armaly, B. F.; Durst, F.; Pereira, J.; Schönung, B., Experimental and theoretical investigation of backward-facing step flow, J. Fluid Mech., 127, 473-496 (1983) |
| [27] | Driver, D. M.; Seegmiller, H. L., Features of a reattaching turbulent shear layer in divergent channelflow, AIAA J., 23, 2, 163-171 (1985) |
| [28] | Nagano, Y.; Tagawa, M.; Tsuji, T., Effects of adverse pressure gradients on mean flows and turbulence statistics in a boundary layer, (Turbulent Shear Flows 8 (1993), Springer), 7-21 |
| [29] | Le, H.; Moin, P.; Kim, J., Direct numerical simulation of turbulent flow over a backward-facing step, J. Fluid Mech., 330, 349-374 (1997) · Zbl 0900.76367 |
| [30] | Davidson, L., Transport equations in incompressible urans and les, (Publication 2006/01 (2006), Chalmers University of Technology) |
| [31] | Ben-Nasr, O.; Hadjadj, A.; Chaudhuri, A.; Shadloo, M., Assessment of subgrid-scale modeling for large-eddy simulation of a spatially-evolving compressible turbulent boundary layer, Comput. & Fluids, 151, 144-158 (2017) · Zbl 1390.76103 |
| [32] | Donaldson, I., On the separation of a supersonic flow at a sharp corner, AIAA J., 5, 6, 1086-1088 (1967) |
| [33] | Hama, F. R., Experimental studies on the lip shock, AIAA J., 6, 2, 212-219 (1968) |
| [34] | Takahashi, S.; Yamano, G.; Wakai, K.; Tsue, M.; Kono, M., Self-ignition and transition to flame-holding in a rectangular scramjet combustor with a backward step, Proc. Combust. Inst., 28, 1, 705-712 (2000) |
| [35] | McDaniel, J.; Fletcher, D.; Hartfield Jr, R.; Hollo, S., Staged transverse injection into mach-2 flow behind a rearward-facing step: a 3-d compressible test Case for hypersonic combustor code validation, AIAA paper, 5071, 1991 (1991) |
| [36] | Lopez, J., Axisymmetric vortex breakdown part 1. Confined swirling flow, J. Fluid Mech., 221, 533-552 (1990) · Zbl 0715.76096 |
| [37] | Wang, P.; Bai, X.-S.; Wessman, M.; Klingmann, J., Large eddy simulation and experimental studies of a confined turbulent swirling flow, Phys. Fluids, 16, 9, 3306-3324 (2004) · Zbl 1187.76548 |
| [38] | Dellenback, P.; Metzger, D.; Neitzel, G., Measurements in turbulent swirling flow through an abrupt axisymmetric expansion, AIAA J., 26, 6, 669-681 (1988) |
| [39] | Simpson, R. L., A model for the backflow mean velocity profile, AIAA J., 21, 1, 142-143 (1983) |
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