Geodesic
Application of а harmonic balance method to a calculation of the first booster stage tone noise
Matematičeskoe modelirovanie, Tome 35 (2023) no. 9, pp. 96-116.

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The results of the numerical investigation of the tone noise of the first booster stage of the high bypass ratio turbofan in the far field at approach operational conditions are presented. The investigation is performed using the frequency domain numerical method of multistage turbomachines tone noise simulation, developed in CIAM. A variant of the method suitable for the calculations in nonlinear setup is used. Calculation is performed for several blade passages in each row. The harmonic balance method for multi-tone disturbances with frequency mapping is implemented. The results of the calculations are compared with the results of the calculations in the time domain, presented in the previous paper (they were also performed in nonlinear setup) and with the experimental data obtained in the CIAM acoustic test facility. In general satisfactory correspondence is found between the data in both cases. The results can be treated as an argument for the validity of the proposed nonlinear frequency domain method of the multistage turbomachinery tone noise calculations.
Keywords: booster stage noise, computational aeroacoustic, frequency domain methods, harmonic balance method, frequency mapping.
Mots-clés : noise of multistage turbomachine, tone noise 
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A. A. Rossikhin; V. I. Mileshin. Application of а harmonic balance method to a calculation of the first booster stage tone noise. Matematičeskoe modelirovanie, Tome 35 (2023) no. 9, pp. 96-116. http://geodesic.mathdoc.fr/item/MM_2023_35_9_a6/

[1] D. Broszat, D. Korte, U. Tapken, M. Moser, “Validation of turbine noise prediction tools with acoustic rig measurements”, Proc. of 15th AIAA/CEAS Aeroacoustics Conference (Miami, Florida, 11-13 May 2009), AIAA 2009-3283

[2] N. K. Agarwal, U. W. Ganz, J. W. Premo, “Compressor noise contribution to inlet noise”, Proc. of 10th AIAA/CEAS Aeroacoustics Conf. (Manchester, UK, May10-12, 2004), AIAA 2004-2913

[3] L. Pinelli, F. Poli, M. Marconcini, A. Arnone, E. Spano, D. Torzo, “Validation of a d linear-ized method for turbomachinery tone noise analysis”, ASME Turbo Expo 2011 (Vancouver, British Columbia, Canada, June 6-10, 2011), GT2011-45886

[4] S. Vilmin, E. Lorrain, B. Tartinville, A. Capron, C. Hirsch, “The nonlinear harmonic method: from single stage to multi-row effects”, Inter. J. of Comp. Fluid Dynamics, 27 (2013), 88–99 | DOI

[5] A. A. Osipov, A. A. Rossikhin, “Calculation method for unsteady aerodynamic blade row interaction in a multistage turbomachine”, TsAGI Science J., 45:3–4 (2014), 255–271 | DOI

[6] A. A. Rossikhin, S. V. Pankov, V. I. Mileshin, “Numerical Investigation of the First Booster Stage Tone Noise of a High Bypass Ratio Turbofan”, ASME Turbo Expo 2016 (Seoul, South Korea, June 13-17, 2016), GT2016-57352

[7] A. A. Rossikhin, S. V. Pankov, V. I. Mileshin, “Numerical and Experimental Investigation of the First Booster Stage Tone Noise at Different Operational Conditions”, Proc. of the 15th Inter. Symp. on Unsteady Aerodynamics, Aeroacoustics Aeroelasticity of Turbomachines (University of Oxford, UK, 24-27 Sept. 2018), ISUAAAT15-057

[8] A. A. Rossikhin, S. V. Pankov, V. I. Mileshin, “Numerical investigation of the low pressure compressor tone noise of a high bypass ratio turbofan”, ASME Turbo Expo 2020 (London, UK, June 22-26, 2020), GT2020-14897

[9] A. A. Rossikhin, S. V. Pankov, V. I. Mileshin, “Numerical and experimental investigation of the turbofan first booster stage tone noise”, Proceedings of the 23rd International Congress on Acoustics (Aachen, Germany, September 9–13, 2019), 1608–1615

[10] A. A. Rossikhin, “Frequency-Domain Method for Multistage Turbomachine Tone Noise Calculation”, International Journal of Aeroacoustics, 16:6 (2017), 491–506 | DOI

[11] L. He, “Fourier Modeling of Steady and Unsteady Nonaxisymmetrical Flows”, Journal of Propulsion and Power, 22:1 (2006), 197–201 | DOI | Zbl

[12] S. C. Stapelfeldt, L. Di Mare, “Reduced Passage Method for Multirow Forced Response Computations”, AIAA Journal, 53:10 (2015), 3049–3062 | DOI

[13] E. Gad, Simulation of RF integrated circuits, University of Ottawa, Ottawa, 2007

[14] A. A. Rossikhin, V. I. Mileshin, “Application of the 2.5D Harmonic Balance Method to Calculate the Propagation of Unsteady Disturbances Through a Duct of a Turbofan”, Mathematical Models and Computer Simulations, 14:1 (2022), 129–138 | DOI | DOI | Zbl

[15] M. Nyukhtikiv, I. Brailko, V. Mileshin, S. Pankov, “Computational and Experimental Investigation of Unsteady and Acoustic Characteristics of Counter Rotating Fans”, Proc. of 2004 ASME Heat Transfer / Fluids Engineering Summer Conference (Charlotte, North Carolina USA, July 11-15, 2004), HT-FED2004-56435

[16] M. A. Nyukhtikov, A. A. Rossikhin, V. V. Sgadlev, I. A. Brailko, “Numerical Method for Turbo-Machinery Tonal Noise Generation and Radiation Simulation Using CAA Approach”, Proc. of ASME Turbo Expo 2008: Power for Land, Sea and Air, GT2008 (Berlin, Germany June 9-13, 2008), GT2008-51182

[17] M. McMullen, A. Jameson, J. Alonso, “Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations”, AIAA 40th Aerospace Sci. Meeting (Reno, Nevada, January 2002), AIAA paper 02-0120

[18] C. K.W. Tam, J. C. Webb, “Dispersion-Relation-Preserving Schemes for Computational Acoustics”, J. of Computational Physics, 107 (1993), 262–281 | DOI | MR | Zbl

[19] V. Allampalli, R. Hixon, M. Nallasamy, S. D. Sawye, “High-accuracy large-step explicit Runge-Kutta (HALE-RK) schemes for computational aeroacoustics”, J. of Comp. Phys., 228 (2009), 3837–3850 | DOI | Zbl

[20] A. Jameson, W. Schmidt, E. Turkel, “Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping scheme”, AIAA 14 Fluid and Plasma Dynam. Conf. (1981), AIAA Paper 81-1259

[21] M. B. Giles, “Nonreflecting Boundary Conditions for Euler Equation Calculations”, AIAA J., 28:12 (1990), 2050–2058 | DOI

[22] J. E. Ffowcs Williams, D. L. Hawkings, “Sound Generation by Turbulence and Surfaces in Arbitrary Motion”, Phil. Trans. Roy, Soc. (London) Ser. A, 264 (1969), 321–342 | Zbl