One of the most important parameters to be considered in the design process of lifting surfaces for marine applications is the acoustic noise emitted by the designed surface. In the present work, the hydroacoustic fields of NACA0012 and NACA0018 hydrofoils are calculated, and the acoustic behavior of these sections is examined and compared at different angles of attack. The Ansys-CFX Navier-Stokes solver is used for hydrodynamic analysis, and a highly accurate multithread program named ACOPY is developed in Python programming language based on the Ffowcs Williams and Hawkings method for acoustic analysis. The developed code has high capability in parallel programming. Results of hydrodynamic and acoustic analyses have been validated against available data. A parametric study is conducted, and the best integration surface for FW-H method is introduced. The acoustic behavior of the sections is calculated in an extensive parametric study for different angles of attack of the hydrofoils. The operational acoustic fields of the foils have been calculated and compared. The results indicate that NACA0012 hydrofoil is a better choice and, more effective, when the acoustic behavior of the hydrofoil is a significant design criterion. 1. Introduction The prediction and calculation of the noise generated from airfoils have been an extensive aero-acoustic research topic in the last half century, both experimentally and numerically. The numerous efforts in this area have been mostly motivated by the desire to understand the nature and the origins of airfoil noise and to find effective applicable methods to minimize it. However, although lifting surfaces are widely used in marine applications and despite the importance of acoustic noise in marine environments, the noise generation of hydrofoils has been barely considered in acoustic publications. The primordial motivation of the present work is to numerically predict and compare the acoustic behavior of two foil sections, that is, NACA0012 and NACA0018, in marine environment. Generally, there are two principal ways to numerically calculate sound propagation in a fluid: solving the Navier-Stokes equations and solving the wave equation. Therefore, the literature is bounded by these two categories. In the first method, the Navier-Stokes equations are solved for the entire domain in which the observer and the source are included. This method is numerically very expensive for large domains, but all nonlinear phenomena are considered and can be captured [1–9]. Shen et al. [7] in 2004 solved the Navier-Stokes equations for a
References
[1]
C. K. W. Tam and J. C. Webb, “Dispersion-relation-preserving finite difference schemes for computational acoustics,” Journal of Computational Physics, vol. 107, no. 2, pp. 262–281, 1993.
[2]
H. Shen and C. K. W. Tam, “Numerical simulation of the generation of axisymmetric mode jet screech tones,” AIAA Journal, vol. 36, no. 10, pp. 1801–1807, 1998.
[3]
S. A. Slimon, M. C. Soteriou, and D. W. Davis, “Development of computational aeroacoustics equations for subsonic flows using a Mach number expansion approach,” Journal of Computational Physics, vol. 159, no. 2, pp. 377–406, 2000.
[4]
J. C. Hardin and D. S. Pope, “An acoustic/viscous splitting technique for computational aeroacoustics,” Theoretical and Computational Fluid Dynamics, vol. 6, no. 5-6, pp. 323–340, 1994.
[5]
J. A. Ekaterinaris, “New formulation of Hardin-Pope equations for aeroacoustics,” AIAA journal, vol. 37, no. 9, pp. 1033–1039, 1999.
[6]
J. A. Ekaterinaris, “New formulation of Hardin-Pope equations for aeroacoustics,” AIAA journal, vol. 37, no. 9, pp. 1033–1039, 1999.
[7]
W. Z. Shen, J. A. Michelsen, and J. N. S?rensen, “A collocated grid finite volume method for aeroacoustic computations of low-speed flows,” Journal of Computational Physics, vol. 196, no. 1, pp. 348–366, 2004.
[8]
O. Marsden, C. Bogey, and C. Bailly, “Direct noise computation of the turbulent flow around a zero-incidence airfoil,” AIAA Journal, vol. 46, no. 4, pp. 874–883, 2008.
[9]
R. D. Sandberg, L. E. Jones, N. D. Sandham, and P. F. Joseph, “Direct numerical simulations of tonal noise generated by laminar flow past airfoils,” Journal of Sound and Vibration, vol. 320, no. 4-5, pp. 838–858, 2009.
[10]
M. J. Lighthill, “On sound generated aerodynamically. I: general theory,” Proceedings of the Royal Society A, vol. 221, no. 1107, pp. 564–587, 1952.
[11]
W. J. F. Willams and D. L. Hawkings, “Sound generation by turbulence and surfaces in arbitrary motion,” Philosophical Transactions of the Royal Society of London A, vol. 264, no. 1151, pp. 321–342, 1969.
[12]
F. Farassat and G. P. Succi, “The prediction of helicopter rotor discrete frequency noise,” Vertica, vol. 7, no. 4, pp. 309–320, 1983.
[13]
K. S. Brenter, Prediction of Helicopter Discrete Frequency Rotor Noise-A Computer Program Incorporating Realistic Blade Motions and Advanced formulation, NASA Langley Research Center, 1986.
[14]
F. Farassat, Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics, vol. 3428, NASA Technical paper, 1996.
[15]
K. S. Brentner, “An efficient and robust method for predicting helicopter high-speed impulsive noise,” Journal of Sound and Vibration, vol. 203, no. 1, pp. 87–100, 1997.
[16]
K. S. Brentner and F. Farassat, “Analytical comparison of the acoustic analogy and Kirchhoff formulation for moving surfaces,” AIAA Journal, vol. 36, no. 8, pp. 1379–1386, 1998.
[17]
F. Farassat and K. S. Brentner, “The uses and abuses of the acoustic analogy in helicopter rotor noise prediction,” Journal of the American Helicopter Society, vol. 33, no. 1, pp. 29–36, 1988.
[18]
J. B. Freund, “A simple method for computing far-field sound in aeroacoustic computations,” Journal of Computational Physics, vol. 157, no. 2, pp. 796–800, 2000.
[19]
B. A. Singer, K. S. Brentner, D. P. Lockard, and G. M. Lilley, “Simulation of acoustic scattering from a trailing edge,” Journal of Sound and Vibration, vol. 230, no. 3, pp. 541–560, 2000.
[20]
A. S. Lyrintzis, “Integral methods in computational aeroacoustics from the (Cfd) near-field to the (acoustic) far-field,” in CEAS Workshop, Athens Greece, November 2002.
[21]
J. Casper and F. Farassat, “Broadband trailing edge noise predictions in the time domain,” Journal of Sound and Vibration, vol. 271, no. 1-2, pp. 159–176, 2004.
[22]
W. J. Zhu, Aero-Acoustic Computations of Wind Turbines, Department of Mechanical Engineering, Technical University of Denmark, 2007.
[23]
F. Farassat and M. K. Myers, “Extension of Kirchhoff's formula to radiation from moving surfaces,” Journal of Sound and Vibration, vol. 123, no. 3, pp. 451–460, 1988.
[24]
H. M. Atassi and S. Subramaniam, “Acoustic radiation from lifting airfoils in compressible subsonic flow,” in 13th Aeroacoustics Conference, pp. 22–24, October 1990.
[25]
R. E. Sheldahl and P. C. Klimas, “Aerodynamic characteristics of seven airfoil sections through 180 degrees angle of attack for use in aerodynamic analysis of vertical axis wind turbines,” Tech. Rep. SAND80-2114, Sandia National Laboratories, Albuquerque, Mexico, 1981.