New calculation of the turbulence-turbulence contribution to wind noise pressure spectra by incorporating turbulence anisotropy

Turbulence-turbulence interaction and turbulence-shear interaction are the sources of intrinsic pressure fluctuation for wind noise generated by atmospheric turbulence. In previous research [Yu et al., J. Acoust. Soc. Am. 129(2), 622–632 (2011)], it was shown that the measured turbulent fields outdoors can be realistically modeled with Kraichnan’s mirror flow model and turbulence-shear interaction pressure spectra at the surface were predicted and compared to measurements. This paper continues to apply Kraichnan’s model and calculates the turbulence-turbulence interaction wind noise pressure spectra under anisotropic turbulence conditions. Different from turbulence-shear interaction, the fourth-order moments of the turbulence are needed in the calculation. A new calculation of the turbulence-turbulence contribution to the wind noise pressure spectra is compared to that for isotropic turbulence and the results are analyzed. [Work supported by the U. S. Army Research Office (Grant No. W911NF-12-0547) and th...