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Constrained Large-Eddy Simulation of Compressible Flow Past a Circular Cylinder

Published online by Cambridge University Press:  03 June 2015

Renkai Hong*
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China
Zhenhua Xia*
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China
Yipeng Shi
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China
Zuoli Xiao
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, P.R. China
Shiyi Chen*
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China
*
Corresponding author.Email:syc@pku.edu.en
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Abstract

Compressible flow past a circular cylinder at an inflow Reynolds number of 2 x 105 is numerically investigated by using a constrained large-eddy simulation (CLES) technique. Numerical simulation with adiabatic wall boundary condition and at a free-stream Mach number of 0.75 is conducted to validate and verify the performance of the present CLES method in predicting separated flows. Some typical and characteristic physical quantities, such as the drag coefficient, the root-mean-square lift fluctuations, the Strouhal number, the pressure and skin friction distributions around the cylinder, etc. are calculated and compared with previously reported experimental data, finer-grid large-eddy simulation (LES) data and those obtained in the present LES and detached-eddy simulation (DES) on coarse grids. It turns out that CLES is superior to DES in predicting such separated flow and that CLES can mimic the intricate shock wave dynamics quite well. Then, the effects of Mach number on the flow patterns and parameters such as the pressure, skin friction and drag coefficients, and the cylinder surface temperature are studied, with Mach number varying from 0.1 to 0.95. Non-monotonic behaviors of the pressure and skin friction distributions are observed with increasing Mach number and the minimum mean separation angle occurs at a subcritical Mach number of between 0.3 and 0.5. Additionally, the wall temperature effects on the thermodynamic and aerodynamic quantities are explored in a series of simulations using isothermal wall boundary conditions at three different wall temperatures. It is found that the flow separates earlier from the cylinder surface with a longer recirculation length in the wake and a higher pressure coefficient at the rear stagnation point for higher wall temperature. Moreover, the influences of different thermal wall boundary conditions on the flow field are gradually magnified from the front stagnation point to the rear stagnation point. Moreover, the influences of different thermal wall boundary conditions on the flow field are graduallymagnified from the front stagnation point to the rear stagnation point. It is inferred that the CLES approach in its current version is a useful and effective tool for simulating wall-bounded compressible turbulent flows with massive separations.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2014

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References

[1]Uranga, A., Assessment of Turbulence Modeling for Compressible Flow Around Stationary and Oscillating Cylinders, Masters thesis, University of Victoria, 2004.Google Scholar
[2]Bénard, H., Formation de centres de giration à l’arrière d’un obstacle en mouvement, Comptes Rendus de I’Academie des Sciences, 147(1908), 839842.Google Scholar
[3]von Kármán, T. and Rubach, H., On the mechanism of resistance of fluids and air, Physikalische Zeitschrift, 13(1912), 4959.Google Scholar
[4]Thom, A., The flow past circular cylinders at low speeds, Proceedings of the Royal Society (London): A, 141(1933), 651666.Google Scholar
[5]Berger, E. and Wille, R., Periodic flow phenomena, Annu. Rev. Fluid Mech., 4(1972), 313.CrossRefGoogle Scholar
[6]Norberg, C., Effects of Reynolds number and a low-intensity free-stream turbulence on the flow around a circular cylinder, Publication No. 87/2, Department of Applied Thermodynamics and Fluid Mechanics, Chalmers University of Technology, Sweden, 1987.Google Scholar
[7]Beaudan, P. and Moin, P., Numerical experiments on the flow past a circular cylinder at sub-critical Reynolds number, Report No. TF-62, Department of Mechanical Engineering, Stanford University, 1994.Google Scholar
[8]Williamson, C. H. K., Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech., 28(1996), 477.CrossRefGoogle Scholar
[9]Zdravkovich, M. M., Flow Around Circular Cylinders Volume 1: Fundamentals, Oxford University Press, 1997.Google Scholar
[10]Zdravkovich, M. M., Flow Around Circular Cylinders Volume 2: Applications, Oxford University Press, 2002.Google Scholar
[11]Breuer, M., Large eddy simulation of the subcritical flow past a circular cylinder Numerical and modeling aspects, Int. J. Numer. Meth. Fluids, 28(1998), 12811302.3.0.CO;2-#>CrossRefGoogle Scholar
[12]Travin, A., Shur, M., Strelets, M. and Spalart, P. R., Detached-Eddy Simulations Past a Circular Cylinder, Flow, Turb. & Comb., 63(1999), 293313.CrossRefGoogle Scholar
[13]Breuer, M., A challenging test case for large eddy simulation: high Reynolds number circular cylinder flow, Int. Heat, J.Fluid Flow, 21(2000), 648654.CrossRefGoogle Scholar
[14]Kravchenko, A. G. and Moin, P., Numerical studies of flow over a circular cylinder at ReD = 3900, Phys. Fluids, 12(2000), 403417.CrossRefGoogle Scholar
[15]Strelets, M., Detached-eddy simulation of massively separated flows, AIAA Paper, (2001), AIAA-2001-0879.Google Scholar
[16]Travin, A., Shur, M., Strelets, M. and Spalart, P. R., Physical and numerical upgrades in the Detached-Eddy Simulations of complex turbulent flows, in Advances in LES of Complex Flows, edited by Friederich, R. and Rodi, W. (Kluwer, Dordrecht), 65(2002), 239254.CrossRefGoogle Scholar
[17]Spalart, P. R., Deck, S., Shur, M., Squires, K., Strelets, M. and Travin, A., A new version of detached-eddy simulation, resistant to ambiguous grid densities, Theor. Comput. Fluid Dyn., 20(2006), 181195.CrossRefGoogle Scholar
[18]Wornom, S., Ouvrard, H., Salvetti, M. V., Koobus, B., and Dervieux, A., Variational multiscale large-eddy simulations of the flow past a circular cylinder: Reynolds number effects, Computers & Fluids, 47(2011), 4450.CrossRefGoogle Scholar
[19]Mittal, S., Finite element computation of unsteady viscous compressible flows, Comput. Methods Appl. Mech. Engrg., 157(1998), 151175.CrossRefGoogle Scholar
[20]Burbeau, A. and Sagaut, P., Simulation of a viscous compressible flow past a circular cylinder with high-order discontinuous Galerkin methods, Computers & Fluids, 31(2002), 867889.CrossRefGoogle Scholar
[21]Xu, C. Y., Chen, L. W., and Lu, X. Y., Large-eddy simulation of the compressible flow past a wavy cylinder, Fluid, J.Mech., 665(2010), 238273.Google Scholar
[22]Macha, J. M., Drag of Circular Cylinders at Transonic Mach Numbers, AIAA J., 14(1977) 605607.Google Scholar
[23]Murthy, V. S. and Rose, W. C., Detailed Measurements on a Circular Cylinder in Cross Flow, AIAA J., 16(1978),549550.Google Scholar
[24]Rodriguez, O., The Circular Cylinder in Subsonic and Transonic Flow. AIAA J., 22(1984), 17131718.Google Scholar
[25]Miserda, R. F. B. and Leal, R. G., Numerical Simulation of the Unsteady Aerodynamic Forces over a Circular Cylinder in Transonic Flow, AIAA paper, AIAA-2006-1408, 2006.Google Scholar
[26]Xu, C. Y., Chen, L. W., and Lu, X. Y., Effect of Mach number on transonic flow past a circular cylinder, Chinese Sci. Bull., 54(2009), 18861893.Google Scholar
[27]Nikitin, N. V., Nicoud, F., Wasistho, B., Squires, K. D. and Spalart, P. R., An approach to wall modeling in large-eddy simulations, Phys. Fluids, 12(2000), 16291632.CrossRefGoogle Scholar
[28]Fröhlich, J. and Terzi, D. von, Hybrid LES/RANS methods for the simulation of turbulent flows, Prog. Aerosp. Sci., 44(2008), 349377.CrossRefGoogle Scholar
[29]Spalart, P. R., Detached-eddy simulation, Annu. Rev. Fluid Mech., 41(2009), 181202.CrossRefGoogle Scholar
[30]Chen, S. Y., Xia, Z. H., Pei, S. Y., Wang, J. C., Yang, Y. T., Xiao, Z. L. and Shi, Y. P., Reynolds-stressed-constrained large eddy simulation of wall bounded turbulent flows, J. Fluid. Mech., 703(2012), 128.CrossRefGoogle Scholar
[31]Jiang, Z., Xiao, Z. L., Shi, Y. P. and Chen, S. Y., Constrained large eddy simulation of wall-bounded compressible turbulent flows, Submitted to Phys. Fluids, 2013.CrossRefGoogle Scholar
[32]Chen, S. Y., Chen, Y. C., Xia, Z. H., Qu, K., Shi, Y. P., Xiao, Z. L., Liu, Q. H., Cai, Q. D., Liu, F., Lee, C. B., Zhang, R. K., and Cai, J. S., Constrained Large-Eddy Simulation and Detached Eddy Simulation of Flow Past a Commercial Aircraft at 14 Degrees Angle of Attack, Sci. China, Phys. Mech. Astron., 56(2013), 270276.CrossRefGoogle Scholar
[33]Favre, A., Turbulence: space-time statistical properties and behavior in supersonic flows, Phys. Fluids A, 23(1983), 2851.Google Scholar
[34]Knight, D., Zhou, G., Okong, N.’o, and Shukla, V., Compressible large eddy simulaton using unstructured grids, AIAA Paper, (1998), AIAA-1998-0535.Google Scholar
[35]Martín, M. P., Piomelli, U. and Candler, G. V., Subgrid-scale models for compressible large-eddy simulations, Theor. Comput. Fluid Dyna., 13(2000), 361376.Google Scholar
[36]Spalart, P. R., Jou, W. H., Strelets, M., and Allmaras, S. R., Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach, in Advances in DNS/LES, Proceedings of 1st AFOSR International Conference on DNS/LES, Ruston, LA, edited by Liu, C. and Liu, Z. (Greyden Press, Columbus, OH), (1997), 137147.Google Scholar
[37]Spalart, P. R. and Allmaras, S. R., A one-equation turbulence model for aerodynamic flows, Recherche Aerospatiale No. 1(1994), 521.Google Scholar
[38]Edwards, J. R. and Chandra, S., Comparison of eddy viscosity-transport turbulence models for three-dimensional, shock-separated flowfields, AIAA J. 34(1996), 756763.Google Scholar
[39]Squires, K. D., Dynamic subgrid scale modeling of compressible turbulence, Annu. Res. Brief, Stanford Uni., (1991), 207223.Google Scholar
[40]Brun, C., Boiarciuc, M. P., Haberkorn, M., and Comte, P., Large eddy simulation of compressible channel flow: Arguments in favour of universality of compressible turbulent wall bounded flows, Theoret. Comput. Fluid Dyn., 22(2008), 189212.CrossRefGoogle Scholar
[41]Sengupta, K., Jacobs, G. B., and Mashayek, F., Large-eddy simulation of compressible flows using a spectral multidomain method, Int. J. Numer. Methods Fluids, 61(2009), 311340.CrossRefGoogle Scholar
[42]Liou, M. S. and Steffen, J. C. J., A new flux splitting scheme, J. Comput. Phys., 107(1993), 2339.CrossRefGoogle Scholar
[43]Liou, M. S., A sequel to AUSM: AUSM+, J. Comput. Phys., 129(1996), 364382.CrossRefGoogle Scholar
[44]Liou, M. S., Mass flux schemes and connection to shock instability, J. Comput. Phys., 160(2000), 623648.CrossRefGoogle Scholar
[45]Leer, B. van, Towards the ultimate conservative difference scheme V. A second order sequel to Godunovs method, J. Comput. Phys., 32(1979), 101.CrossRefGoogle Scholar
[46]Oertel, H. and Affiliation, J., Wakes behind blunt bodies, Annu. Rev. Fluid Mech., 22(1990), 539564.CrossRefGoogle Scholar
[47]Owen, J. C. and Bearman, P.W., Passive control of viv with drag reduction, Fluids, J.Struct., 15(2001), 597605.Google Scholar
[48]Pagendarm, H. G., Seitz, B., and Choudhry, S. I., Visualization of shock waves in hypersonic CFD solutions, Tech. Rep., DLR, 1996.Google Scholar
[49]Verman, B., Kuerten, H., and Geurts, B., Shocks in direct numerical simulation of the confined three-dimensioal mixing layer, Phys. Fluids, 7(1995), 21052107.CrossRefGoogle Scholar
[50]Freund, J. B., Lele, S. K., and Moin, P., Compressibility effects in a turbulent annular mixing layer. Part 1. Turbulence and growth rate, Fluid, J.Mech., 421(2000), 229267.Google Scholar
[51]Jorgensen, L. H., Prediction of static aerodynamic charateristics for space shuttle like and other bodies at angles of attack from 0 to 180, Tech. Rep., NASA, TN-D-6996, 1973.Google Scholar
[52]Welsh, C. J., The drag of finite length cylinders determined from flight tests at high reynolds numbers for a mach number range from 0.5 to 1.3, Tech. Rep., NACA, TN-2941, 1953.Google Scholar
[53]Macha, J. M., A wind tunnel investigation of circular and straked cylinders in transonic cross flow, Tech. Rep., Texas A/M Research Foundation, College Station, iTexas, TAMU-Rept.-3319-76-01, 1976.Google Scholar
[54]Wang, A. B., Trávnícek, Z., and Chia, K. C., On the relationship of effective Reynolds number and Strouhal number for the laminar vortex shedding of a heated circular cylinder, Phys. Fluids, 12(u2000), 1041.CrossRefGoogle Scholar
[55]Sabanca, M. and Durst, F., Flows past a tiny circular cylinder at high temperature ratios and slight compressible effects on the vortex shedding, Phys. Fluids, 15(2003), 1821.CrossRefGoogle Scholar
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