3D calculations of aerofoil-turbulence interaction noise and the effect of wavy leading edges

In this paper, wavy leading edge serrations for reduction of the aerofoil-turbulence interaction (ATI) noise are investigated numerically. A flat-plate aerofoil is considered and an advanced method is suggested to synthetically generate flow turbulence via an in-flow boundary condition that is particularly suitable for three-dimensional aeroacoustic simulations. The synthetic inflow turbulence generator which is based on superposition of eddies is practically free of spurious noise and can be optimised to generate any required velocity spectra such as the von Karman spectrum. A correlation length scale is defined for the fluctuating pressure on the leading edge of the aerofoil, and it is found that the leading edge serrations effectively reduce this correlation length scale. In addition, it is postulated that increasing the noise reduction by increasing the serration amplitude will reach a maximum beyond which, no further enhancement in noise reduction characteristics of the serration can be achieved by increasing the serration amplitude. The noise reduction mechanism is further related to the deformation of vortical structures near the leading edge of serrations which is explained in detail and is consistent with calculated phase and coherence spectra along the leading edges.

[1]  Duck-Joo Lee,et al.  Generalized Characteristic Boundary Conditions for Computational Aeroacoustics, Part 2 , 2000 .

[2]  Jae Wook Kim,et al.  High-order compact filters with variable cut-off wavenumber and stable boundary treatment , 2010 .

[3]  M. S. Howe On sound generated when a vortex is chopped by a circular airfoil , 1989 .

[4]  S. Noelting,et al.  Flow and noise predictions for the tandem cylinder aeroacoustic benchmarka) , 2012 .

[5]  Matthew R. Myers,et al.  Influence of incidence angle on sound generation by airfoils interacting with high-frequency gusts , 1995, Journal of Fluid Mechanics.

[6]  Jae Wook Kim,et al.  Quasi-disjoint pentadiagonal matrix systems for the parallelization of compact finite-difference schemes and filters , 2013, J. Comput. Phys..

[7]  F. Fish,et al.  Leading-edge tubercles delay stall on humpback whale (Megaptera novaeangliae) flippers , 2004 .

[8]  R. Arndt,et al.  Effect of leading edge serrations on noise radiation from a model rotor , 1972 .

[9]  Stefan Oerlemans,et al.  Wind Tunnel Aeroacoustic Tests of Six Airfoils for Use on Small Wind Turbines: Preprint , 2003 .

[10]  K. Hansen,et al.  Performance Variations of Leading-Edge Tubercles for Distinct Airfoil Profiles , 2011 .

[11]  Ray Hixon,et al.  Toward low‐noise synthetic turbulent inflow conditions for aeroacoustic calculations , 2013 .

[12]  Sina Haeri,et al.  CFDComm: An Optimized Library for Scalable Point-to-Point Communication for General CFD Applications , 2012, 2012 IEEE 14th International Conference on High Performance Computing and Communication & 2012 IEEE 9th International Conference on Embedded Software and Systems.

[13]  J. Gill,et al.  Single velocity-component modeling of leading edge turbulence interaction noise. , 2015, The Journal of the Acoustical Society of America.

[14]  Vincent P. Blandeau,et al.  Sound power radiation due to an isolated airfoil in a turbulent stream , 2010 .

[15]  Neil D. Sandham,et al.  Proposed Boundary Conditions for Gust-Airfoil Interaction Noise , 2010 .

[16]  Phillip Joseph,et al.  Experimental and numerical investigation of turbulence-airfoil noise reduction using wavy edges , 2013 .

[17]  S. Haeri,et al.  A correlation for the calculation of the local Nusselt number around circular cylinders in the range 10 ⩽ Re ⩽ 250 and 0.1 ⩽ Pr ⩽ 40 , 2013 .

[18]  R. Adrian,et al.  On the relationships between local vortex identification schemes , 2005, Journal of Fluid Mechanics.

[19]  M. S. Howe Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute , 1975, Journal of Fluid Mechanics.

[20]  M. S. Howe Theory of Vortex Sound , 2002 .

[21]  Jae Wook Kim Optimised boundary compact finite difference schemes for computational aeroacoustics , 2007, J. Comput. Phys..

[22]  J. Bendat,et al.  Random Data: Analysis and Measurement Procedures , 1971 .

[23]  Alex S.H. Lau,et al.  The effect of wavy leading edges on aerofoil-gust interaction noise , 2013 .

[24]  Paul T. Soderman,et al.  Investigation of Acoustic Effects of Leading-Edge Serrations on Airfoils , 1974 .

[25]  Phillip Joseph,et al.  Noise Reduction Studies from the Leading Edge of Serrated Flat Plates , 2014 .

[26]  R. K. Amiet Airfoil gust response and the sound produced by airfoil-vortex interaction , 1986 .

[27]  R. K. Amiet,et al.  High frequency thin-airfoil theory for subsonic flow , 1976 .

[28]  R. Amiet Acoustic radiation from an airfoil in a turbulent stream , 1975 .