Abstract
The problem of determining the “potential” number of integration steps by explicit difference schemes is solved within the framework of the prediction model for chemically non-equilibrium processes.
Similar content being viewed by others
References
Gidaspov, V. Yu., Numerical Simulation of Chemically Non-Equilibrium Flow in the Nozzle of the Liquid- Propellant Rocket Engine, Vestnik MAI, 2013, vol. 20, no. 2, pp. 90–97.
Shustov, S.A., Experimental Investigation of Cross Profile Generation Processes for Thermogas Dynamic Parameters of Combustion Products in Nozzle Inlet for Regular Liquid-Fuel Microthrusters, Vestnik MAI, 2009, vol. 16, no. 2, pp. 146–153.
Kartovitskii, L.L., Levin, V.M., and Yakovlev, A.A., A Concept of Increasing Efficiency for Ramjet Operation, Izv.Vuz. Av. Tekhnika, 2015, vol. 58, no. 4, pp. 67–72 [Russian Aeronautics (Engl. Transl.), vol. 58, no. 4, pp. 431–437].
Dregalin, A.F., Barysheva, O.B., and Cherenkov, A.S., Methods for Calculating Thermophysical Properties of Gas Mixtures, Izv.Vuz. Av. Tekhnika, 2007, vol. 50, no. 3, pp. 46–49 [Russian Aeronautics (Engl. Transl.), vol. 50, no. 3, pp. 298–302].
Boccaletto, L. and Dussauge, J.P., High-Performance Rocket Nozzle Concept, Journal of Propulsion and Power, 2010, vol. 26, no. 5, pp. 969–979.
Keshav, S., Utkin, Yu.G., Nishihara, M., Wrich, J., Adamovich, I.V., and Bao, A., Studies of Chemi-Ionization and Chemiluminescence in Supersonic Flows of Combustion Products, Journal of Thermophysics and Heat Transfer, 2008, vol. 22, no. 2, pp. 157–167.
Pirumov, U.G. and Roslyakov, G.S. Gazovaja dinamika sopel (Gas Dynamics of Nozzles), Moscow: Nauka, 1990, 368 p.
Hairer, Ernst and Wanner, Gerhard, Solving Ordinary Differential Equations II. Stiff and Differential- Algebraic Problems, Springer-Verlag Berlin Heidelberg, 1996.
Skvortsov, L.M., Explicit Two-Step Runge-Kutta Methods, Mathematical Models and Computer Simulations, 2010, vol. 2, no. 2, pp. 222–231.
Lebedev, V.I. and Medovikov, A.A., An Explicit Method of the Second Order of Accuracy for Solving Stiff Systems of Ordinary Differential Equations, Izv.Vuz. Matematika, 1998, vol. 42, no. 9, pp. 55–63 [Russian Mathematics (Engl. Transl.), vol. 42, no. 9, pp. 52–60].
Naumov, V. I., Krioukov, V.G., Abdullin, A.L., Demin, A.V., and Iskhakova, R.L. Chemical Non-Equilibrium Model for Simulation of Combustion and Flow in Propulsion and Power Generation Systems, Proceedings of ASME-International Mechanical Engineering Congress and Exposition, Florida, USA. 2005, vol. 1, 11 p.
Abdullin, A.L., Durigon, A., Kryukov, V.G., Application of Spline Function Method to Solving the Problem of Chemical Kinetics, Vestnik KGTU im. A.N. Tupoleva. 2004. no. 3. S. 31–34.
Press, W.H., Flinnery, B.P., Vetterling, W. T., et al., Numerical Recipes in C: The Art of Scientific Equation Models by Polynomial Approximation, New Jersey: Prentice-Hall, 1988, 735 p.
Glarborg, P., Miller J.A., and Kee, R.J., Kinetic Modeling and Sensitivity Analysis of Nitrogen Oxide Formation in Well-Stirred Reactors, Combustion and Flame, 1986, vol. 65, pp. 177–202.
Kondrat’ev, V. N., Konstanty skorosti gazofaznykh reaktsii (Rate Constants of Gas Phase Reactions), Moscow: Nauka, 1974, 512 p.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.G. Kryukov, A.L. Abdullin, A.V. Demin, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2017, No. 1, pp. 98–103.
About this article
Cite this article
Kryukov, V.G., Abdullin, A.L. & Demin, A.V. Difference schemes in computations for chemically non-equilibrium processes in the rocket engine nozzles. Russ. Aeronaut. 60, 103–109 (2017). https://doi.org/10.3103/S1068799817010159
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068799817010159