Hydrodynamic verification and validation of numerical methods of the flow calculation in combustion chamber of a gas turbine engine

Аuthors

Isaev A. I.^*, Skorobogatov S. V.^**

Irkutsk branch of Moscow State Technical University of Civil Aviation, (MSTUCA), 3, Kommunarov str., Irkutsk, 664047, Russia

*e-mail: isaew_alexandr@mail.ru
**e-mail: maestro.ru@mail.ru

Abstract

Currently, the engineering practice widely uses software packages for engineering design automation. They include the systems allowing solve complex problems of computational hydro-gas dynamics. The specificity of the employed mathematical tools imposes certain constraints in the course of operation. Thus, there is no universal mathematical model at present, which would reliably describe all turbulent flows specifics for the entire spectrum of problems. Instead, there are many semi-empirical models correlating well with the experimental data for only a certain range of problems.

The most widely used models are the models of Reynolds averaged Navier–Stokes equations. At the same time, these models have a greater number of variations, most of which found application in commercial software packages as well. Such diversity creates the problem of selection of the most appropriate model for the particular solution case. Thus, verification and validation are the intrinsic part of the turbulent flows numerical modeling.

The purpose of the article is the methodology of verification and validation of a flow computing in a combustion chamber air-gas channel of a gas turbine engine with transverse vortex system. The authors performed reviewed the most relevant turbulence models employed in software packages of computational hydro-gas dynamics. Their advantages, disadvantages and constraints associated with the empirical data are listed.

Based on the developed combustion chamber model, the full-scale model for hydrodynamic research and the finite element mesh for calculations in the software environment were created.

The article presents the results of experimental studies and the results obtained by numerical methods. They performed their comparison and analysis. Based on this data, the two models corresponding to the selected confidence interval, were separated out.

At the next stage validation of turbulence models was being performed. As a result, it allowed give qualitative estimate of flow kinetics over the entire computation region.

Verification revealed that of all the models considered, the best conformity with experiments was ensured by the SST k-w model and standard k-e model.

In consequence of validation, the authors managed to find that the SST k-w model reproduced the flow kinetics in air-gas channel of the combustion chamber with a transverse vortex system more correctly.

Keywords:

verification, validation, computational fluid dynamics, turbulence models, combustion chamber, gas-turbine engine

References

1. Spalart P.R. Strategies for turbulence modelling and simulation, International Journal of Heat and Fluid Flow, 2000, vol. 21, no. 3, pp. 252 – 263.

2. Spalart P.R., Allmaras S.R. A one-equation turbulence model for aerodynamic flows, AIAA Paper No. 0439, American Institute of Aeronautics and Astronautics, 1992, pp. 5-12.

3. Larina E.V., Kryukov I.A., Ivanov I.E. Trudy MAI, 2016, no. 91, available at: http://trudymai.ru/eng/published.php?ID=75565

4. Launder B.E., Spalding D.B. Lectures in Mathematical Models of Turbulence, London, Academic Press, 1972, 169 p.

5. Wilcox, David C (1998). Turbulence Modeling for CFD. Second edition, Anaheim: DCW Industries, 1998, pp. 174.

6. Sumer B.M. Lecture notes on turbulence, Technical University of Denmark, 2007, available at: http://www.external.mek.dtu.dk/personal/bms/turb_book_update_30_6_04.pdf

7. Bardina J.E., Huang P.G., Coakley TJ. Turbulence Modeling Validation, Testing, and Development, NASA Technical Memorandum 110446, 1997, 87 p.

8. Orszag S.A., Yakhot V., Flannery W.S., Boysan F., Choudhury D., Maruzewski J., Patel B. Renormalization Group Modeling and Turbulence Simulations, In International Conference on Near-Wall Turbulent Flows, 1993, Tempe, Arizona, pp. 1031 – 1046.

9. Yakhot V., Orszag S.A., Thangam S., Gatski T.B., Speziale C.G. Development of turbulence models for shear flows by a double expansion technique, Physics of Fluids, 1992, vol. 4, no. 7, pp. 510 – 520.

10. Shih T.H., Liou W.W., Shabbir A., Yang Z., Zhu J. A New Eddy-Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and Validation, Computers Fluids, 1995, no. 24 (3), pp. 227 – 238.

11. Kolmogorov A.N. Izvestiya AN SSSR. Fizika, 1942, vol. 6, no. 1 – 2, pp. 56 – 58.

12. Wilcox D.C. Turbulence Modeling for CFD. DCW Industries, La Canada, California, 1998, 477 p.

13. Garbaruk A.B. Techenija vjazkoj zhidkosti i modeli turbulentnosti: metody raschjota turbulentnyh (Viscous flow and turbulence models: turbulent flows calculation methods), Saint Petersburg, Sainkt Peterburgskij gosudarstvennyj politehnicheskij universitet, 2007, 127 p.

14. Kravchuk M.O., Kudimov N.F., Safronov A.V. Trudy MAI, 2015, no. 82, available at: http://trudymai.ru/eng/published.php?ID=58536

15. ANSYS Fluent Theory Guide section 4.4.1.1 “Standard k-ω Model Overview”, ANSYS Software Release 18.1, ANSYS Inc., 2017 (goo.gl/PoE8eT), available at: https://www.youtube.com/watch?v=4Co3XIqlpSs

16. Menter, F. R., Zonal Two Equation k-ω Turbulence Models for Aerodynamic Flows, AIAA Paper 93-2906, 1993, 22 p.

17. ANSYS Fluent Theory Guide section 4.6.2 “Transport Equations for the Transition SST Model”, ANSYS Software Release 18.1, ANSYS Inc., 2017 (goo.gl/HhAJXf), available at: https://www.sharcnet.ca/Software/Ansys/16.2.3/en-us/help/flu_th/flu_th.html

18. Menter F.R. Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications, AIAA Journal, 1994, 32 (8), pp. 1598 – 1605.

19. Menter F.R. Review of the SST Turbulence Model Experience from an Industrial Perspective, International Journal of Computational Fluid Dynamics, 2009, vol. 23, issue 4, pp. 305 – 316.

20. Langtry R.B. and Menter F.R. Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes, AIAA Journal, 2009, vol. 47, no. 12, pp. 2894 – 2906.

21. Gibson M.M. and Launder B.E. Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer, Journal of Fluid Mechanics, 1978, no. 86, pp. 491 – 511.

22. Launder B.E.. Second-Moment Closure: Present... and Future? International Journal of Heat and Fluid Flow, 1989, vol. 10, issue (4), pp. 282 – 300.

23. Launder B.E., Reece G.J. and Rodi W. Progress in the Development of a Reynolds-Stress Turbulence Closure, Journal of Fluid Mechanics, 1975, no. 68 (3), pp. 537 – 566.

24. Volkov K.N., Emel’yanov V.N. Modelirovanie krupnykh vikhrei v raschetakh turbulentnykh techenii (Thermodynamics and heat transfer), Moscow, FIZMATLIT, 2008, 368 p.

25. Kobel’kov V.N., Ulas V.D., Fedorov R.M. Termodinamika i teploperedacha (Thermodynamics and heat transfer)., Moscow, VVIA im. N.E. Zhukovskogo, 2004, 216 p.

26. Frank M. White, Journal of Fluid Mechanics, 5th Edition. McGraw-Hill, 2003, 866 p.

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