Volume 12, no. 1Pages 32 - 43

Numerical Simulation Intra-Chamber of Unsteady Turbulent Flows Stimulate. Part 1

A.M. Lipanov, S.Yu. Dadikina, A.A. Shumikhin, M.R. Koroleva, A.I. Karpov
The technique of 3D internal unsteady turbulent flows simulation is proposed in this work, in particular the flow of combustion products into the solid fuel rocket engine. The system of governing equations describing the flow of viscous compressible gas written in the cylindrical coordinate system is presented. The computational algorithm based on a modified scheme of splitting vectors belonging to the class methods use Godunov approach is proposed. This algorithm is suitable for end-to-end calculation of the internal flow around all the paths of the rocket engine, including both subsonic flow in the chamber zone, and the zone of supersonic flow in nozzle. The simulation results of gas flow in the model rocket engine show oscillating shock wave processes the occurring into the engine chamber at the early stage. The time-stationary working mode engine is defined.
Full text
intra-chamber of the processes; turbulence; unsteady flow; computational fluid dynamics.
1. Lipanov A.M., Bobryshev V.P., Aliev A.V., Spiridonov F.F., Lisitsa V.D. Chislennyi eksperiment v teorii RDTT [Numerical Experiment in the Theory of Solid Propellant Rocket Motors]. Ekatirinburg, UIF Nauka, 1994. (in Russian)
2. Ciucci A., Iaccarino G., Moser R., Najjar F., Durbin P. Simulation of Rocket Motor Internal Flows with Turbulent Mass Injection. Center for Turbulence Research. University of Stanford, 1998, pp. 245-266.
3. Aliev A.V., Mishchenkova O.V., Cherepov I.V. Nonstationary Intra-Chamber Processes in Solid-Propellant Controlled Propulsion System. Herald of the Bauman Moscow State Technical University. Series: Mechanical Engineering, 2016, no. 4, pp. 24-39. DOI: 10.18698/0236-3941-2016-4-24-39
4. Apte S.V., Yang V. A Large-Eddy Simulations Study of Transition and Flow Instability in a Porous-Walled Chamber with Mass Injection. Journal of Fluid Mechanics, 2003, vol. 477, pp. 215-225. DOI: 10.1017/S0022112002002987
5. Lipanov A.M., Kisarov Yu.F., Klyuchnikov I.G. Numerical Method for Calculating Turbulent Flows and Heat Transfer in Aircraft Engines. Journal of Applied Mathematics and Mechanics, 1992, no. 6, pp. 49-53.
6. Vuillot F., Lupoglazoff N. Combustion and Turbulent Flow Effects in 2D Unsteady Navier-Stokes Simulations of Oscillatory Solid Rocket Motors. AIAA Paper, 1996, no. 96-0884, 15 p.
7. Lipanov A.M., Koroleva M.R., Dadikina S.Yu. Adapted Cylindrical Coordinates for Internal Volumes of Structural Elements of a Solid-Propellant Rocket Engine. Proceedings of the Steklov Institute of Mathematics (Supplementary Issues), 2012, vol. 18, no. 1, pp. 213-221.
8. Volkov K.N., Bulat P.V., Volobuev I.A., Pronin V.A. Heat Transfer in a Cavity with Rotating Disk in Turbulent Regime. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2017, vol. 17, no. 3, pp. 514-524. (in Russian) DOI: 10.17586/2226-1494-2017-17-3-514-524
9. Lipanov A.M. Teoreticheskaya gidromekhanika n'yutonovskikh sred [Theoretical Fluid Mechanics of Newtonian Media]. Moscow, Nauka, 2011. (in Russian)
10. tFluent 6.3 User's Guide, 2006. Available at: www.sharcnet.ca/Software/Fluent6/html/ug/main_pre.htm
11. Steger J.L., Warming R.F. Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite Difference Methods. Journal of Computational Physics, 1981, vol. 40, no. 2, pp. 263-293. DOI: 10.1016/0021-9991(81)90210-2
12. Anderson W.K., Thomas J.L., Van Leer B. A Comparison of Finite Volume Flux Vector Splittings for the Euler Equations. AIAA Journal, 1986, vol. 24, no. 9, pp. 1453-1460. DOI: 10.2514/3.9465
13. Van Leer B. Towards the Ultimate Conservative Difference Scheme V. A Second Order Sequel to Godunov's Method. Journal of Computational Physics, 1979, vol. 32, no. 1, pp. 101-136. DOI: 10.1016/0021-9991(79)90145-1
14. Surov V.S., Berezancky I.V. Godunov's Method for a Multivelocity Model of Heterogeneous Medium. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2014, vol. 7, no. 2, pp. 87-98. (in Russian) DOI: 10.14529/mmp140208
15. Chung T.J. Computational Fluid Dynamics. Cambridge, Cambridge University Press, 2002. DOI: 10.1017/CBO9780511606205
16. Akselvoll K., Moin P. Large-Eddy Simulation of Turbulent Confined Coannular Jets. Journal of Fluid Mechanics, 1996, vol. 315, pp. 387-411. DOI: 10.1017/S0022112096002479
17. Ducros F., Nicoud F., Poinsot T. Wall-Adapting Local Eddy-Viscosity Models for Simulations in Complex Geometries. Proceeding of the 6th ICFD Conference on Numerical Methods for Fluid Dynamic, Oxford, United Kingdom, 1998, pp. 293-299.
18. Shumikhin A.A., Koroleva M.R., Dadikina S.Yu., Karpov A.I. Application of WENO Scheme for Simulation of Turbulent Flow in a Channel with Backward-Facing Step. Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Komp'yuternye nauki [The Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science], 2017, vol. 27, no. 3, pp. 460-469. (in Russian) DOI: 10.20537/vm170313