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Home » Issues » Archive of Issues » 2019 - 3 issue » pp. 382-395

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Russia Izhevsk; Moscow; Zhukovsky
Year
2019
Volume
29
Issue
3
Pages
382-395
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Section Mechanics
Title Theoretical investigation of conditions for the appearance of high-speed bufting
Author(-s) Lipanov A.M.a, Karskanov S.A.b, Chernyshev S.L.c, Lipatov I.I.c
Affiliations Keldysh Institute of Applied Mathematics, Russian Academy of Sciencesa, Udmurt Federal Research Center, Ural Branch of the Russian Academy of Sciencesb, Central Aerohydrodynamic Institutec
Abstract Numerically, the phenomenon of the appearance of high-speed bufting is investigated for the case of a transonic flow past the NACA0012 airfoil. A mathematical model based on high-order approximation algorithms is formulated, which makes it possible to calculate nonstationary separated flows. The model is based on the integration of quasi-hydrodynamic equations. A parametric investigation of high-velocity viscous gas flow past an airfoil as a function of the angle of attack is carried out. Both instantaneous and averaged flow patterns are analyzed. The distributions of the pulsation characteristics of flows are obtained at different angles of attack. Regularities in the onset of detachment of the boundary layer are revealed, and the effect of shock waves on the nature of the flow near the surface of the airfoil is determined. The critical angle of attack at which high-speed bufting begins is determined.
Keywords high-speed buffeting, shock waves, quasi-hydrodynamic equations, direct numerical simulation, high-order approximation
UDC 533.6, 519.6
MSC 35Q30, 76G25
DOI 10.20537/vm190308
Received 3 July 2019
Language Russian
Citation Lipanov A.M., Karskanov S.A., Chernyshev S.L., Lipatov I.I. Theoretical investigation of conditions for the appearance of high-speed bufting, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2019, vol. 29, issue 3, pp. 382-395.
References
  1. Garifullin M.F. Bafting (Buffeting), Moscow: Fizmatlit, 2010.
  2. Fam T.V. Numerical simulation of the occurrence processes of buifting in the transonic flow and methods of controlling the bufting, Cand. Sci. (Phys.-Math.) Dissertation, Zhukovsky, 2014, 123 p. (In Russian).
  3. Elizarova T.G., Chetverushkin B.N. Kinetic algorithms for calculating gas dynamic flows, USSR Computational Mathematics and Mathematical Physics, 1985, vol. 25, no. 5, pp. 164-169. https://doi.org/10.1016/0041-5553(85)90194-6
  4. Chetverushkin B.N. Kineticheski-soglasovannye skhemy v gazovoi dinamike: novaya model' vyazkogo gaza, algoritmy, parallel'naya realizatsiya, prilozheniya (Kinetically consistent schemes in gas dynamics: a new viscous gas model, algorithms, parallel implementation, applications), Moscow: Moscow State University, 1999.
  5. Chetverushkin B.N. Kinetic schemes and high-performance multiprocessing calculations in gas dynamics, Computational Technologies, 2002, vol. 7, no. 6, pp. 65-89.
  6. Temam R. Navier-Stokes equations: Theory and numerical analysis. North-Holland, Amsterdam, 1984.
  7. Rusyak I.G., Lipanov A.M., Ushakov V.M. Fizicheskiye osnovy i gazovaya dinamika goreniya porokhov v artilleriiskikh sistemakh (Physical basis and gas dynamics of burning of gunpowders in artillery systems), Moscow-Izhevsk: Institute of Computer Science, 2016.
  8. Aliyev A.V. Vnutrennyaya ballistika RDTT (Internal ballistics of RDTT), Moscow: Mashinostroenie, 2007.
  9. Gottlieb S., Shu C.-W. Total variation diminishing Runge-Kutta schemes, Mathematics of Computation, 1998, vol. 67, no. 221, pp. 73-85.
  10. Liu X-D., Osher S., Chan T. Weighted essentially non-oscillatory schemes, J. Comp. Phys., 1994, vol. 115, no. 1, pp. 200-212. https://doi.org/10.1006/jcph.1994.1187
  11. Lipanov A.M. Teoreticheskaya mekhanika n'yutonovskikh sred (Theoretical mechanics of newtonian media), Moscow: Nauka, 2011.
  12. Dorodnicyn L.V. Nonreflecting boundary conditions and numerical simulation of external flows, Computational Mathematics and Mathematical Physics, 2011, vol. 51, no. 1, pp. 143-159. https://doi.org/10.1134/S0965542511010076
  13. McDevitt J.B., Okuno A.F. Static and dynamic pressure measurements on a NACA0012 airfoil in the Ames high Reynolds number facility, NASA – TP – 2485, 1985. NASA Ames, CA, USA.
  14. Braza M. NACA0012 with Aileron, Unsteady effects of shock wave induced separation, Berlin: Springer, 2011, pp. 101-131. https://doi.org/10.1007/978-3-642-03004-8_4
  15. Lipatov I.I., Fam T.V., Prikhod'ko A.A. Numerical simulations of bufting appearence, Trudy Moskovskogo Fiziko-Tekhnicheskogo Instituta, 2014, vol. 6, no. 2, pp. 122-132 (in Russian).
  16. Kochin N.E., Kibel' I.A., Roze N.V. Teoreticheskaya gidromekhanika (Theoretical hydromechanics), Moscow: Nauka, 1968.
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