Abstract

The mirror flow model is a construction of inhomogeneous, anisotropic turbulence from the superposition of a homogeneous, isotropic turbulent field with itself in transformed coordinates. This model has been used for atmospheric turbulence to predict spectral contributions to low-frequency wind noise [Yu et al., J. Acoust. Soc. Am. 129(2), 622–632 (2011)]. Here, analytical solutions are reported for the longitudinal and vertical turbulence spectra as a function of elevation. The correlation functions, integral turbulence scale, and profiles of mean-square velocity components are computed. The premultiplied spectra show remarkable agreement with observed scaling in the atmospheric boundary layer. Implications for computation of wind noise spectra are discussed.

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