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ACTUAL PROBLEMS OF MECHANICS AND MECHANICAL ENGINEERING – 2026

The international scientific conference ACTUAL PROBLEMS OF MECHANICS AND MECHANICAL ENGINEERING – 2026

HYDRODYNAMICS AND ACOUSTICS

2022 ◊ Volume 2 (92) ◊ Issue 3 p. 300-324

V. G. Kuzmenko*

* Institute of Hydromechanics of NAS of Ukraine, Kyiv, Ukraine

Numerical simulation of separated turbulent flow with suction behind a fence and the energy evolution of three-dimensional coherent structures

Gidrodin. akust. 2022, 2(3):300-324

https://doi.org/10.15407/jha2022.03.300

TEXT LANGUAGE: Ukrainian

ABSTRACT

The unsteady three-dimensional turbulent incompressible flow over a rectangular two-dimensional fence (with suction after fence) in a boundary layer is simulated using hybrid LES/URANS-approach, wall models and finite-difference method. The aspect ratio (height/length) of the fence are 4, fence Reynolds number is Re=10500, inflow Reynolds number is Reδ=10500 for turbulent boundary layer. Behind of fence in zone 17.25<x<79.25 on horizontal wall are placed array of orifices (at every knot of run grid is orifice of circular form d=0.042). Effective orifice suction velocity is constant value (VSL=-0.03) on time interval t={0; 96}. The number of grid points used in the numerical method was 5434455 ({961; 65; 87}). The large-scale coherent structures are identified by the Q-criterion (set of threshold value {Qsi} for total numerical domain). The simulation were performed to study the Q-isosurfaces, integral characteristic of the energy and coherent structure across area under suction. The coherent structures of different configurations were identified in big numerical zone. Powerful effect of constant suction on time interval ({0; 96}) was founded at the configuration of coherent structures. Sizes of coherent structures, theirs characteristics of the energy and coherent structure across areas are decreased consistently and steadfast during time run. Suction during time reduce to high decrease in coherent structure turbulent energy not only in suction zone (17.25<x<79.25), and also near the fence (9<x<12). In zone 20<x<60 on time interval t={0; 48} value of turbulent energy decreases in four times in comparison with variant for without suction (t=0).

KEY WORDS

turbulent boundary layer, fence, numerical method, coherent structures, identification criterion, evolution, suction

REFERENCES

[1] H. Siller and H. Fernholtz, "Control of separated flow downstream of a two-dimensional fence by lowfrequency forcing," Applied Sciences Research., vol. 57, pp. 309-318, 1997.
https://doi.org/10.1007/BF02506066

[2] H. A. Siller and H.-H. Fernholz, "Separation behaviour in front of a two-dimensional fence," European Journal of Mechanics - B/Fluids, vol. 20, no. 5, pp. 727-740, 2001.
https://doi.org/10.1016/S0997-7546(01)01153-0

[3] L. M. Hudy, A. Naguib, and W. M. Humphreys, "Stochastic estimation of a separated-flow field using wall-pressure-array measurements," Physics of Fluids, vol. 19, no. 2, 2007.
https://doi.org/10.1063/1.2472507

[4] J. Zhou, R. J. Adrian, and S. Balachandar, "Autogeneration of near-wall vortical structures in channel flow," Physics of Fluids, vol. 8, no. 1, pp. 288-290, 1996.
https://doi.org/10.1063/1.868838

[5] J. Carlier and M. Stanislas, "Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry," Journal of Fluid Mechanics, vol. 535, pp. 143-188, 2005.
https://doi.org/10.1017/S0022112005004751

[6] V. K. Natrajan and K. T. Christensen, "The role of coherent structures in subgrid-scale energy transfer within the log layer of wall turbulence," Physics of Fluids, vol. 18, no. 6, 2006.
https://doi.org/10.1063/1.2206811

[7] M. Lesieur, P. Begou, P. Comte, and O. Metais, "Vortex recognition in numerical simulations," European Research Community On Flow, Turbulence And Combustion Bulletin, no. 46, pp. 25-28, 2000.

[8] V. A. Gushchin and P. V. Matyushin, "Mechanisms of vortices formation in the wake behind the sphere at 200 < Re < 380," Izvestia RAN Mechanics of Liquid and Gas, no. 5, pp. 135-151, 2006.

[9] S. Zhang and D. Choudhury, "Eigen helicity dencity: A new wortex indentification scheme and its application in accelerated inhomogeneous flows," Physics of Fluids, vol. 18, no. 5, 2006.
https://doi.org/10.1063/1.2187071

[10] V. Kolar, "Vortex identification: New requirements and limitations," International Journal of Heat and Fluid Flow, vol. 28, no. 4, pp. 638-652, 2007.
https://doi.org/10.1016/j.ijheatfluidflow.2007.03.004

[11] P. Chakraborty, S. Balachandar, and R. Adrian, "On the relationships between local vortex identification schemes," Journal of Fluid Mechanics, vol. 535, pp. 189-214, 2005.
https://doi.org/10.1017/S0022112005004726

[12] J. Jeong, F. Hussain, W. Schoppa, and J. Kim, "Coherent structures near the wall in a turbulent channel flow," Journal of Fluid Mechanics, vol. 332, pp. 185-214, 1997.
https://doi.org/10.1017/S0022112096003965

[13] C. Meneveau and J. Katz, "Scale-invariance and turbulence models for Large-Eddy Simulation," Annual Review of Fluid Mechanics, vol. 32, pp. 1-32, 2000.
https://doi.org/10.1146/annurev.fluid.32.1.1

[14] A. S. Neto, D. Grand, O. M'etais, and M. Lesieur, "A numerical investigation of the coherent vortices in turbulence behind a backward-facing step," Journal of Fluid Mechanics, vol. 256, pp. 1-25, 1993.
https://doi.org/10.1017/S0022112093002691

[15] V. G. Kuzmenko, "The simulation of turbulent flow with the fence by different external conditions. Part 2. Coherent structures identification," Applied Hydromechanics, vol. 17(89), no. 3, pp. 18-34, 2015.

[16] G. Haller, "Distinguished material surfaces and coherent structures in three-dimensional fluid flows," Physica D: Nonlinear Phenomena, vol. 149, no. 4, pp. 248-277, 2001.
https://doi.org/10.1016/S0167-2789(00)00199-8

[17] V. G. Kuzmenko, "Simulation of turbulent flow with the fence and 3d coherent structures identification," Applied Hydromechanics, vol. 18(90), no. 1, pp. 31-42, 2016.

[18] C. VerHulst and C. Meneveau, "Large Eddy Simulation study of the kinetic energy entrainment by energetic turbulent flow structures in large wind farms," Physics of Fluids, vol. 26, no. 2, p. 025113, 2014.
https://doi.org/10.1063/1.4865755

[19] F. Selimefendigil and W. Polifke, "Nonlinear, proper-orthogonal-decomposition-based model of forced convection heat transfer in pulsating flow," American Institute of Aeronautics and Astronautics Journal, vol. 52, no. 1, pp. 131-145, 2014.
https://doi.org/10.2514/1.J051647

[20] J.-L. Balint, J. M. Wallace, and P. Vukoslavcevic, "The velocity and vorticity vector fields of a turbulent boundary layer. Part 2. Statistical properties," Journal of Fluid Mechanics, vol. 228, pp. 53-86, 1991.
https://doi.org/10.1017/S002211209100263X

[21] A. Orellano and H. Wengle, "Numerical simulation (DNS and LES) of manipulated turbulent boundary layer flow over a surface-mounted fence," European Journal of Mechanics - B/Fluids, vol. 19, no. 5, pp. 765-788, 2000.
https://doi.org/10.1016/S0997-7546(00)00115-1

[22] V. G. Kuzmenko, "The simulation of turbulent wall flow with a fence on the base of hybrid LES/RANS-approach," Applied Hydromechanics, vol. 13(85), no. 3, pp. 48-60, 2011.

[23] M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale eddy viscosity model," Physics of Fluids A: Fluid Dynamics, vol. 3, no. 7, pp. 1760-1765, 1991.
https://doi.org/10.1063/1.857955

[24] U. Piomelli and E. Balaras, "Wall-layer models for Large-Eddy Simulations," Annual Review of Fluid Mechanics, vol. 34, pp. 349-374, 2002.
https://doi.org/10.1146/annurev.fluid.34.082901.144919

[25] V. G. Kuzmenko, "3D numerical modelling of turbulent boundary layer in the regime of developed roughness on the basis of LES-technique," Applied Hydromechanics, vol. 4(76), no. 3, pp. 31-41, 2002.

[26] V. G. Kuzmenko, "The numerical 3D modelling of turbulent boundary layer in the regime of intermediate roughness," Applied Hydromechanics, vol. 5(77), no. 2, pp. 27- 36, 2003.

[27] V. G. Kuzmenko, "Numerical 3-D modelling of turbulent boundary layer on the basis of economical LES-technique," Applied Hydromechanics, vol. 6(78), no. 1, pp. 19-24, 2004.

[28] V. G. Kuzmenko, "Dynamic subgridscale model for LES-technique," Applied Hydromechanics, vol. 6(78), no. 3, pp. 48-53, 2004.

[29] V. G. Kuzmenko, "The simulation of turbulent flow with separation in asymetric channel on the base of hybrid LES/RANS-technique," Applied Hydromechanics, vol. 12(84), no. 3, pp. 24-37, 2010.

[30] V. G. Kuzmenko, "Numerical modelling of nonstationary turbulent flow with seperation over and inside cavity," Applied Hydromechanics, vol. 11(83), no. 3, pp. 28-41, 2009.

[31] M. Breuer, "Wall models for LES of separated flows," European Research Community On Flow, Turbulence And Combustion Bulletin, vol. 72, pp. 13-18, 2007.

[32] V. G. Kuzmenko, "Simulation of turbulent flow with separation beyond backward-facing step," Applied Hydromechanics, vol. 9(81), no. 4, pp. 37-48, 2007.

[33] V. G. Kuzmenko, "The simulation of unsteady turbulent flow with obstacle on the base of hybrid LES/URANS-approach," Applied Hydromechanics, vol. 15(87), no. 2, pp. 22- 36, 2013.

[34] V. G. Kuzmenko, "The simulation of turbulent flow with the fence by different external conditions on the base of hybrid LES/URANS-approach. Part 1," Applied Hydromechanics, vol. 17(89), no. 1, pp. 59-71, 2015.

[35] E. T. Spyropoulos and G. A. Blaisdell, "Large-Eddy Simulation of a spatially evolving supersonic turbulent boundary-layer flow," AIAA Journal, vol. 36, no. 11, pp. 1983-1990, 1998.
https://doi.org/10.2514/2.325

[36] K. Kim and H. J. Sung, "Effects of periodic blowing from spanwise slot on a turbulent boundary layer," AIAA Journal, vol. 41, no. 10, pp. 1916-1924, 2003.
https://doi.org/10.2514/2.1907

[37] K. Kim, H. J. Sung, and M. K. Chung, "Assessment of local blowing and suction in a turbulent boundary layer," AIAA Journal, vol. 40, no. 1, pp. 175-177, 2002.
https://doi.org/10.2514/2.1629

[38] Harinaldi, Budiarso, R. Tarakka, and S. P. Simanungkalit, "Effect of active control by blowing to aerodynamic drag of bluff body van model," International Journal of Fluid Mechanics Research, vol. 40, no. 4, pp. 312-323, 2013.
https://doi.org/10.1615/InterJFluidMechRes.v40.i4.20

[39] V. G. Kuzmenko, "The simulation of turbulent flow with a suction behined the bar on the basis of hybrid LES/URANS-approach," Applied Hydromechanics, vol. 16(88), no. 2, pp. 48-61, 2014.
https://doi.org/10.1016/j.enganabound.2015.06.005

[40] M. C. Good and P. N. Joubert, "The form drag of two-dimensional bluff-plates immersed in turbulent boundary layers," Journal of Fluid Mechanics, vol. 31, no. 3, pp. 547-582, 1968.
https://doi.org/10.1017/S0022112068000327

[41] K. G. Ranga Raju, J. Loeser, and E. J. Plate, "Velocity profiles and fence drag for a turbulent boundary layer along smooth and rough flat plates," Journal of Fluid Mechanics, vol. 76, no. 2, pp. 383-399, 1976.
https://doi.org/10.1017/S0022112076000682

[42] H. A. Siller and H.-H. Fernholz, "Manipulation of the reverse-flow region downstream of a fence by spanwise vortices," European Journal of Mechanics - B/Fluids, vol. 26, no. 2, pp. 236-257, 2007.
https://doi.org/10.1016/j.euromechflu.2006.05.005

[43] K. Aoki, K. Kanba, and S. Takata, "Numerical analysis of a supersonic rarefied gas flow past a flat plate," Physics of Fluids, vol. 9, no. 4, pp. 1144-1161, 1997.
https://doi.org/10.1063/1.869204

[44] A. E. Perry, S. Henbest, and M. S. Chong, "A theoretical and experimental study of wall turbulence," Journal of Fluid Mechanics, vol. 165, no. 1, pp. 163-199, 1986.
https://doi.org/10.1017/S002211208600304X

[45] A. E. Perry, K. L. Lim, and S. M. Henbest, "An experimental study of the turbulence structure in smooth- and rough-wall boundary layers," Journal of Fluid Mechanics, vol. 177, pp. 437-466, 1987.
https://doi.org/10.1017/S0022112087001034