Statistical properties of nonlinear N-wave propagating in thermal or kinematic turbulence

Авторы: Yuldashev P.V., Ollivier S., Khokhlova V.A., Blanc-Benon Ph
Сборник: Proceedings of Meetings on Acoustics
Том: 19
Год издания: 2013
Первая страница: 045074
DOI: 10.1121/1.4799383
Аннотация: Nonlinear propagation of high amplitude N-wave through turbulent layer is studied using 2D KZK-type nonlinear parabolic equation. The incident acoustic wave is assumed to have a plane wavefront and the waveform is a classical symmetrical N-wave. The turbulent layer is synthesized using a method of random Fourier modes. The modified von Karman spectra with the same values of outer and inner scales are considered for both scalar-type (temperature fluctuations) and vector-type (velocity fluctuations) turbulent fields. The rms value of the refraction index fluctuations μ is varied as a parameter. It is shown that statistical characteristics of N-wave propagating in vector-type or scalar-type turbulent fields are equivalent when μ in scalar-type turbulence is almost two times greater. The distance of most probable occurrence of caustics obtained in the KZK simulations which account for diffraction effects is demonstrated to be inversely proportional to μ while the geometrical acoustics approach predicts the inverse proportionality to 2/3 power of μ. The work is supported by PICS RFBR 10-02-91062/CNRS 5603 grants.
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