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Numerical simulation of aerodynamic and acoustic characteristics of a ducted rotor

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Abstract

This work is devoted to the numerical simulation of the problem about a rotor rotation in a duct in a noninertial reference frame based on the Euler equations. The configuration is a model of a tail rotor of a helicopter. The calculations were carried out using highly accurate EBR schemes on unstructured tetrahedral meshes with the variables determined at the nodes. The numerical results on the aerodynamic forces, as well as the intensity and direction of the acoustic radiation in the far field, are presented and analyzed.

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References

  1. G. R. Srinivasan and J. D. Baeder, “TURNS: a free-wake Euler-Navier-Stokes numerical method for helicopter,” AIAA J. 31, 959–962 (1993).

    Article  Google Scholar 

  2. O. Rouzaud, J. Raddatz, and J. C. Boniface, “Euler calculations of multibladed rotors in hover by DLR and ONERA methods and comparison with helishape tests,” in Proceedings of the American Helicopter Society 53rd Annual Forum, Virginia Beach, 29 April–1 May, 1997.

    Google Scholar 

  3. H. Pomin and S. Wagner, “Navier-Stokes analysis of helicopter rotor aerodynamics in hover and forward flight,” J. Aircraft 39, 813–821 (2002).

    Article  Google Scholar 

  4. R. Steijl, G. N. Barakos, and K. Badcock, “A framework for CFD analysis of helicopter rotors in hover and forward flight,” Int. J. Numer. Meth. Fluids 51, 819–847 (2006).

    Article  MATH  Google Scholar 

  5. A. D. Gardner and K. Richter, “Influence of rotation on dynamic stall,” J. Am. Helicopter Soc. 58, 032001 (2013).

    Google Scholar 

  6. S. A. Karabasov, “Application of a hybrid approach for far-field sound prediction from high-speed helicopter blades,” Mat. Model. 18 (2), 3–23 (2006).

    MATH  Google Scholar 

  7. V. F. Kopev, V. A. Titarev, and I. V. Beliaev, “Development of the new approach for calculating the noise screws using supercomputers,” Uchen. Zap. TsAGI 45 (2), 78–106 (2014).

    Google Scholar 

  8. J. E. Ffowcs Williams, and D. L. Hawkings, “Sound generated by turbulence and surfaces in arbitrary motion,” Phil. Trans. R. Soc. A 264 (1151), 321–342 (1969).

    Article  MATH  Google Scholar 

  9. I. V. Abalakin and T. K. Kozubskaya, “Higher accuracy scheme based on edge-oriented quasi-1B reconstruction of variables for solving aerodynamics and aeroacoustics problems on unstructured meshes,” Mat. Model. 25 (8), 109–136 (2013).

    MathSciNet  Google Scholar 

  10. I. Abalakin, P. Bakhvalov, and T. Kozubskaya, “Edge-based reconstruction schemes for prediction of near field flow region in complex aeroacoustics problems,” Int. J. Aeroacoust. 13, 207–234 (2014).

    Article  Google Scholar 

  11. P. A. Bakhvalov, “Quasi one-dimensional reconstruction scheme on convex polygonal meshes for solving aeroacoustics problems,” Mat. Model. 25 (9), 95–108 (2013).

    Google Scholar 

  12. Ch. Hirsch, Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics, 2nd ed. (Butterworth-Heinemann, Amsterdam, 2007).

    Google Scholar 

  13. P. A. Bakhvalov, T. K. Kozubskaya, E. D. Kornilina, A. V. Morozov, and M. V. Jakobovskii, “Technology of predicting acoustic disturbances in flow far field,” Math. Models Comput. Simul. 4, 363–373 (2012).

    Article  MathSciNet  Google Scholar 

  14. ANSYS ICEM CFD. http://www.cae-expert.ru/product/ansys-icem-cfd

  15. Y. Saad, Iterative Methods for Sparse Linear Systems (PWS, Boston, 1996).

    MATH  Google Scholar 

  16. W. Johnson, Helicopter Theory (Princeton Univ. Press, Princeton, NJ, 1980).

    Google Scholar 

  17. Hybrid Computational Cluster K-100 of Keldysh Inst. Appl. Math. http://www.kiam.ru/MvS/resourses/k100.html

  18. I. V. Abalakin, P. A. Bakhvalov, A. V. Gorobets, A. P. Duben, and T. K. Kozubskaia, “NOISETTE parallel program complex for large-scale calculations of aerodynamics and aeroacoustics problems,” Vychisl. Metody Programmir. 13, 110–125 (2012).

    Google Scholar 

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Correspondence to I. V. Abalakin.

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Original Russian Text © I.V. Abalakin, P.A. Bahvalov, V.G. Bobkov, T.K. Kozubskaya, V.A. Anikin, 2015, published in Matematicheskoe Modelirovanie, 2015, Vol. 27, No. 10, pp. 125–144.

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Abalakin, I.V., Bahvalov, P.A., Bobkov, V.G. et al. Numerical simulation of aerodynamic and acoustic characteristics of a ducted rotor. Math Models Comput Simul 8, 309–324 (2016). https://doi.org/10.1134/S2070048216030030

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  • DOI: https://doi.org/10.1134/S2070048216030030

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