Geodesic
On the accuracy of numerical calculation of the boundary layer separation on a finite-width wedge
Matematičeskoe modelirovanie, Tome 27 (2015) no. 10, pp. 32-46.

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The work is devoted to validation of modern differential models of turbulence on an example of calculation of flow in separation zone arising in supersonic flow around a compression wedge. Experimental data for the 25$^\circ$ wedge, obtained in the ITAM SB RAS by A. A. Zheltovodov, are used. These data are compared with the results of 3D and 2D calculations with the use of several differential models of turbulence. Modification of SST model, allowing to improve the quality of separation zone description, is proposed. 3D structure of the separation on the wedge is analyzed.
Keywords: supersonic flow, boundary layer separation, compression wedge, turbulence model
Mots-clés : validation. 
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S. M. Bosnyakov; A. A. Babulin; V. V. Vlasenko; M. F. Engulatova; S. V. Matyash; S. V. Mikhaylov. On the accuracy of numerical calculation of the boundary layer separation on a finite-width wedge. Matematičeskoe modelirovanie, Tome 27 (2015) no. 10, pp. 32-46. http://geodesic.mathdoc.fr/item/MM_2015_27_10_a3/

[1] G. S. Settles, L. J. Dodson, “Supersonic and hypersonic shock/boundary layer interaction database”, AIAA J., 32:7 (1994), 1377–1383 | DOI

[2] A. A. Zheltovodov, Shock waves/turbulent boundary-layer interactions — fundamental studies and applications, AIAA Paper 96-1977, 1996

[3] M. S. Loginov, N. F. Adams, A. A. Zheltovodov, “Large-eddy simulation of shock-wave/turbulent-boundary-layer interaction”, J. Fluid Mech., 565 (2006), 135–169 | DOI | Zbl

[4] ANSYS 14.5 Capabilities Brochure, ANSYS, Inc., 2013, 8 pp.

[5] I. A. Brailko, V. E. Makarov, Iu. P. Fedorchenko, V. A. Shorstov, Programmnyi kompleks COBRA v2.5, Svidetelstvo o gosudarstvennoi registratsii programmy dlia EVM No 2010613209, 2010

[6] S. M. Bosniakov, V. V. Vlasenko, M. F. Engulatova, N. A. Zlenko, S. V. Matiash, S. V. Mikhailov, Programmnyi kompleks EWT, Svidetelstvo o gosudarstvennoi registratsii programmy dlia EVM No 2008610227, 2008

[7] D. D. Knight, A. A. Zheltovodov, “Ideal-gas shock wave — turbulent boundary-layer interactions (STBLIs) in supersonic flows and their modeling: Two-dimensional interactions”, Shock Wave — Boundary-Layer Interactions, eds. H. Babinsky, J. Harvey, Cambridge University Press, New York, 2011, 137–201 | DOI | MR

[8] W. W. Liou, G. Huang, T. H. Shih, “Turbulence Model Assessment for Shock-Wave/Turbulent-Boundary-Layer Interaction in Transonic and Supersonic Flows”, Computers and Fluids, 29 (2000), 275–299 | DOI | Zbl

[9] I. A. Bedarev, N. N. Fedorova, “Issledovanie faktorov, vliiaiushchikh na kachestvo predskazaniia turbulentnykh otryvnykh techenii”, Vychislitelnye tekhnologii, 4:1 (1999), 14–32

[10] K. Sinha, K. Manesh, G. V. Candler, “Modeling the effect of shock unsteadiness in shock/turbulent boundary-layer interactions”, AIAA J., 43:3 (2005), 586–594 | DOI

[11] A. A. Zheltovodov, “Analiz svoistv dvumernykh otryvnykh techenii pri sverkhzvukovykh skorostiakh”, Issledovaniia pristennykh techenii viazkogo gaza, ed. N. N. Ianenko, Novosibirsk, 1979, 59–94

[12] A. A. Zheltovodov, E. X. Shilein, V. N. Iakovlev, Razvitie turbulentnogo pogranichnogo sloia v usloviiakh smeshannogo vzaimodeistviia so skachkami uplotneniia i volnami razrezheniia, Preprint No 28, In.teor. i prikl. mekh., Novosibirsk, 1983, 51 pp. | MR

[13] A. A. Zheltovodov, V. N. Iakovlev, Etapy razvitiia, struktura i kharakteristiki turbulentnosti szhimaemykh otryvnykh techenii v okrestnosti dvumernykh prepiatstvii, Preprint No 27, In.teor. i prikl. mekh., Novosibirsk, 1986, 55 pp. | MR

[14] D. C. Wilcox, Turbulence modeling for CFD, 3$^{\mathrm{rd}}$ edition, DCW Industries, 2006, 522 pp.

[15] E. V. Kazhan, “Povyshenie ustoichivosti iavnoi skhemy GKR lokalnym vvedeniem neiavnogo sglazhivatelia”, Uchenye zapiski TsAGI, 2012, no. 6, 66–84

[16] V. V. Vlasenko, “O matematicheskom podkhode i printsipakh postroeniia chislennykh metodologii dlia paketa prikladnykh programm EWT-TsAGI”, Trudy TsAGI, 2671, 2007, 20–85 | MR

[17] P. R. Spalart, S. R. Allmaras, A one-equation turbulence model for aerodynamic flows, AIAA Paper 92-0439, 1992

[18] T. J. Coakley, Turbulence modelling methods for the compressible Navier–Stokes equations, AIAA Paper 83-1693, 1983

[19] T. Coakley, T. Hsieh, Comparison between implicit and hybrid methods for the calculation of steady and unsteady inlet flows, AIAA Paper 85-1125, 1985

[20] Prakticheskie aspekty resheniia zadach vneshnei i vnutrennei aerodinamiki s primeneniem tekhnologii ZEUS v ramkakh paketa EWT-TsAGI, Sbornik statei, Trudy TsAGI, 2735, 2015, 248 pp.

[21] F. R. Menter, “Two-equation eddy-viscosity turbulence models for engineering applications”, AIAA Journal, 32:8 (1994), 269–289 | DOI

[22] V. S. Demianenko, A. A. Zheltovodov, “Eksperimentalnye issledovaniia otryva turbulentnogo pogranichnogo sloia v okrestnosti stupenki”, Izv. AN SSSR, MZhG, 1977, no. 5, 73–80

[23] G. N. Abramovich, Prikladnaia gazovaia dinamika, v. 1, 5-e izd., Nauka, M., 1991, 600 pp.