Local Similarity Method for Aerodynamics Calculation at Low Supersonic Flight Speed
https://doi.org/10.18384/2949-5067-2025-4-100
Abstract
Aim. Verification of local similarity method for calculating the aerodynamics of aircraft at low supersonic speeds.
Methodology. The primary criterion for developing this method is minimal computation time. The method is based on the hypothesis of locality, i. e. aerodynamic characteristics of each surface element are calculated independently. The proposed technique for aerodynamics calculation is a combination of well-known methods widely-used in supersonic flow around a thin plate and a flexible mechanism for their application taking into account the curvature of the aircraft surface.
Results. The technique proposed has been verified on s cone, a slender body of revolution and a thin straight wing. The verification has been carried by comparing with numerical simulation results and existing techniques of aerodynamics calculation. Good agreement between the aerodynamic coefficient values and the numerical calculation results was demonstrated.
Research implications. The technique considered is supposed to be used to make preliminary assessment of the aerodynamics of an aircraft at low supersonic flight speeds, followed by their refinement using more accurate methods.
About the Authors
D. PolevshchikovRussian Federation
Danila P. Polevshikov, Research Engineer
Laboratory No. 7
Novosibirsk
A. Kashkovsky
Russian Federation
Aleksandr V. Kashkovsky, Cand. Sci. (Engineering), Senior Researcher
Laboratory No. 7
Novosibirsk
References
1. Gentry, A. E., Smyt, D. N. & Oliver, W. R. (1973). The Mark-IV supersonic-hypersonic arbitrary-body program. Volume I. User's Manual: Technical report. AFFDL-TR-159. Ohio, U. S.: Air Force Flight Dynamics Laboratory, Douglas Aircraft Company.
2. Abramovich, Yu. V. & Shirokopoyas, E. P. (1974). Engineering Methodology for Computer Calculation of Aerodynamic Characteristics of Aircraft at Hypersonic Flight Speeds. In: Proceedings of TsAGI (Central Aerohydrodynamic Institute), 1580, 3–29 (in Russ.).
3. Galkin, B. S., Erofeev, A. I. & Tolstykh, A. I. (1977). Approximate Method for Calculating Aerodynamic Characteristics of Bodies in a Hypersonic Rarefied Gas Flow. In: Proceedings of TsAGI (Central Aerohydrodynamic Institute), 1833, 6–10 (in Russ.).
4. Kotov, V. M., Lychkin, E. N., Reshetin, A. G. & Schelkonogov, A. N. (1982). An approximate method of aerodynamic calculation of complex shape bodies in a transition region. In: Rarefied Gas Dynamics : Proceedings of 13<sup>th</sup> International Conference (Novosibirsk). Vol. 1. New York: Plenum press, pp. 487–495.
5. Potter, J. L. & Peterson, S. W. (1992). Local bridging to predict aerodynamic coefficients in hypersonic, rarefied flow. In: Journal of Spacecraft and Rockets, 29 (3), 344–351.
6. Klinkrad, H., Koppenwallner, G., Johannsmeier, D., Ivanov, M. & Kashkovsky, A. (1995). Free-molecular and transitional aerodynamics of spacecraft. In: Advances in Space Research, 16 (12), 33–36. DOI: 10.1016/0273-1177(95)98775-J.
7. Miroshin, R. N. & Khalidov, I. A. (1991). Theory of local interaction. Leningrad: Leningrad University publ. (in Russ.).
8. Ivanov, M. S., Markelov, G. N., Gimelshein, S. F., Mishina, L. V., Krylov, A. N. & Grechko, N. V. (1998). High-Altitude Capsule aerodynamics with Real Gas Effects. In: Journal of Spacecraft and Rockets, 35 (1), 16–22. DOI: 10.2514/3.26992.
9. Kashkovsky, A. V., Vashchenkov, P. V. & Ivanov, M. S. (2008). Software system for computing spacecraft aerodynamics. In: Thermophysics and Aeromechanics, 15 (1), 79–91 (in Russ.).
10. Khlopkov, Yu. I., Zay, Yar Myo Myint & Khlopkov, A. Yu. (2013). Aerodynamic Investigation for Prospective Aerospace Vehicle in the Transitional Regime. In: International Journal of Aeronautical and Space Sciences, 14 (3), 215–221. DOI: 10.5139/IJASS.2013.14.3.215.
11. Khlopkov, Y. I., Zay, Yar Myo Myint & Khlopkov, A. Y. (2015). Modelling of aerodynamics for perspective aerospace vehicles. In: Fundamental Research, 4, 152–156 (in Russ.).
12. Anderson, J. D. (2006). Hypersonic and high-temperature gas dynamics. Reston: AIAA.
13. Abramovich, G. N. (1991). Applied Gas Dynamics : in 2 parts. Part 1. Textbook: For technical universities. Moscow: Nauka publ. (in Russ.).
14. Deich, M. E. (1961). Technical gas dynamics. Moscow, Leningrad: Gosenergoizdat publ. (in Russ.).
15. Adamov, N. P., Brodetsky, M. D., Kharitonov, A. M., Zbrodin, A. V. & Lutsky, A. E. (2000). Numerical and physical modeling of supersonic flow around separating winged bodies. In: Thermophysics and Aeromechanics, 7 (1), 1–12 (in Russ.).
16. Simon, W. E. & Walter, L. A. (1963). Approximations for supersonic flow over cones. In: AIAA Journal, 1 (7), 1696–1698. DOI: 10.2514/3.1899.
17. Loitsyansky, L. G. (2003). Mechanics of liquids and gases. Moscow: Drofa publ. (in Russ.).
18. Bimatov, V. I., Savkina, N. V. & Faraponov, V. V. (2016). Supersonic flow over a sharp cone and its aerodynamic characteristics for different models of turbulent viscosity. In: Tomsk State University Journal of Mathematics and Mechanics, 5 (43), 35−42. DOI: 10.17223/19988621/433/4.
19. Nikolaev, V. S. (1981). Approximation formulas for local aerodynamic characteristics of wing-type bodies in a viscous hypersonic flow in a wide range of similarity parameters. In: Proceedings of TsAGI (Central Aerohydrodynamic Institute), 12 (4), 143–150 (in Russ.).
20. Fofоnov, D. M. (2010). Aerodynamic configuration optimization of hypersonic flying vehicles. In: Cosmonautics and Rocket Science, 1 (58), 17–26 (in Russ.).
21. Shershnev, A. A., Kudryavtsev, A. N., Kashkovsky, A. V. et al. (2025). SUNSHYNE Software for Modeling Compressible Gas Flows on Computer Systems with Hybrid CPU/GPU Architecture. In: Journal of Applied Mechanics and Technical Physics, 66, 961–978. DOI: 10.1134/S002189442570052X.
22. Stivers, L. S., Jr. (1971). Calculated Pressure Distributions and Components of Total-Drag Coefficients for 18 Constant-Volume, Slender Bodies of Revolution at Zero Incidence for Mach Numbers from 2 to 12 with Experimental Aerodynamic Characteristics for Three of the Bodies: Report no. NASA TN D-6536. Moffett Field, CA, United States: Ames Research Center.
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