Method of Unsteady Hydrodynamic Characteristics ‎Determination in Turbulent Boundary Layer

Document Type : Research Paper


1 Institute of Informational Technologies, Mechanics and Mathematics, Lobachevsky University of Nizhniy Novgorod,‎ ‎23 Prospekt Gagarina, Nizhniy Novgorod, 6039506, Russia

2 Center for hydroacoustics, Institute of Applied Physics of the Russian Academy of Sciences,‎ Ulyanov St, 46, Nizhny Novgorod, 603155, Russia‎

3 Center for hydroacoustics, Institute of Applied Physics of the Russian Academy of Sciences,‎ Ulyanov St, 46, Nizhny Novgorod, 603155, Russia

4 Institute of Informational Technologies, Mechanics and Mathematics, Lobachevsky University of Nizhniy Novgorod, ‎‎23 Prospekt Gagarina, Nizhniy Novgorod, 6039506, Russia


This paper presents the method of the turbulent flow simulation. The method may be used to address the computational aeroacoustics (CAA) problems, where the vortex noise’s sources have to be determined. This method is an alternative to both large-eddy simulation (LES) methods and stochastics turbulence simulation techniques. The proposed method is more computationally efficient compared to LES and, unlike stochastic approaches, it does not require empirical constants. The simulation according to this method is achieved in two main stages. During the first step the averaged flow’s properties are obtained using the RANS simulation. These properties are used for the formulation of the discrete vortex model on the second step. Vortices’ intensities are oscillating with amplitudes and frequencies obtained from the RANS simulation with random phase shifts. Turbulent velocity field is then determined as the sum of averaged flow velocities, velocities induced by the pulsing vortices and velocities induced by the trailing vortices (Kelvin circulation theorem). The method is verified by considering the test problem. The developed turbulent boundary layer near the horizontal wall is simulated by means of both the presented method and the LES method. A good agreement between these two methods indicates on the viability of the approach presented in this paper. However, a thorough investigation of the method is still yet to be accomplished.


Main Subjects

[1] Martin, R., Soria M., Lehmkuhl O., Gorobets A., Canteand J., Vidal P., Noise Radiated by An Open Cavity At Low Mach Number, Tenth International Conference on Computational Fluid Dynamics (ICCFD10), Barcelona, Spain, 2018.  
[2] Yokoyama, H., Odawara, H., Iida A., Effects of freestream turbulence on cavity tone and sound source, International Journal of Aerospace Engineering, 2016, 7347106.
[3] Siefert, M. Ewert R., Sweeping sound generation in jets realized with a random particle-mesh method, 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), 2009.
[4] Ewert, R., Appel C.,Dierke J., Herr M., RANS/CAA based prediction of NACA 0012 broadband trailing edge noise and experimental validation, 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), 2009.
[5] Dergachev, S., Marchevsky I., Shcheglov G., Flow simulation around 3D bodies by using Lagrangian vortex loops method with boundary condition satisfaction with respect to tangential velocity components, Aerospace Science and Technology, 94, 2019, 105374.
[6] Wu, L., Jing X., Sun X., Prediction of vortex-shedding noise from the blunt trailing edge of a flat plate, Journal of Sound and Vibration, 408, 2017, 20-30.
[7] Mathey, F., Aerodynamic noise simulation of the flow past an airfoil trailing-edge using a hybrid zonal RANS-LES, Computers & Fluids, 37(7), 2008, 836-843.
[8] Ewert, R., Dierke, J., Siebert, J., Neifeld, A., Appel, C., Siefert, M., Kornow, O., CAA broadband noise prediction for aeroacoustic design, Journal of Sound and Vibration, 330(17), 2011, 4139-4160.
[9] Manninen, M., Taivassalo V., Kallio S., On the mixture model for multiphase flow, Technical Research Centre of Finland, Finland, 1996.
[10] Sheikholeslami, M., Abohamzeh, E., Jafaryar, M., Shafee, A., Babazadeh, H., CuO nanomaterial two-phase simulation within a tube with enhanced turbulator, Powder Technology, 373, 2020, 1-13.
[11] Sheikholeslami, M., Farshad, S. A., Shafee, A., Babazadeh, H., Performance of solar collector with turbulator involving nanomaterial turbulent regime, Renewable Energy, 163, 2020, 1222-1237.
[12] Sheikholeslami, M., Jafaryar, M., Said, Z., Alsabery, A. I., Babazadeh, H., Shafee, A., Modification for helical turbulator to augment heat transfer behavior of nanomaterial via numerical approach, Applied Thermal Engineering, 182, 2020, 115935.
[13] Buaria, D., Pumir A., Bodenschatz E., Self-attenuation of extreme events in Navier–Stokes turbulence, Nature Communications, 11(1), 2020, 1-7.
[14] Moreau, S., Christopher J., Roger M., LES of the trailing-edge flow and noise of a NACA0012 airfoil near stall, Proceedings of the Summer Program, 2008.
[15] Wang, M., Moreau, S., Iaccarino, G., Roger, M., LES prediction of wall-pressure fluctuations and noise of a low-speed airfoil, International Journal of Aeroacoustics, 8(3), 2009, 177-197.
[16] Wu, H., Moreau S., Sandberg R.D., On the noise generated by a controlled-diffusion aerofoil at Rec= 1.5× 105, Journal of Sound and Vibration, 487, 2020, 115620.
[17] Suvorov, A. S., Korotin, P. I., Sokov, E. M., Finite element method for simulating noise emission generated by inhomogeneities of bodies moving in a turbulent fluid flow, Acoustical Physics, 64(6), 2018, 778-788.
[18] Menter, F. Zonal two equation kw turbulence models for aerodynamic flows, 23rd Fluid Dynamics, Plasmadynamics and Lasers Conference, 1993.
[19] Chipongo, K., Khiadani M., Lari K.S., Comparison and verification of turbulence Reynolds-averaged Navier–Stokes closures to model spatially varied flows, Scientific Reports, 10(1), 2020, 1-21.
[20] Loytsansky L.G., Fluid Mechanics, Gostekhizdat, Moscow, 1950.
[21] Menter, F.R., Best practice: scale-resolving simulations in ANSYS CFD. ANSYS Germany GmbH, 2012.
[22] Spalart, P.R., Strategies for turbulence modelling and simulations, International Journal of Heat and Fluid Flow, 21(3), 2000, 252-263.