Modeling of gravity-wave tail spectra in the middle atmosphere via numerical and Doppler-spread methods

Hines, C. O.; Childress, Lilian; Kinney, Justin B.; Sulzer, M. P.

doi:10.1016/j.jastp.2004.02.004

Cited by 5 publications

(3 citation statements)

References 32 publications

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“…The spectra are very anisotropic: Their scale in a horizontal direction is much greater than that in a vertical direction. The 1D vertical spectra of temperature and wind velocity fluctuations obtained from these 3D spectra agree with those derived theoretically, 6,7 calculated numerically, 8,9 and measured in the stratosphere and troposphere, e.g., Refs. 3 and 10.…”

Section: Introductionsupporting

confidence: 85%

“…15 As a result of the nonlinear interaction, 1D vertical spectra of temperature and horizontal wind velocity fluctuations have a universal form at large wave numbers that does not depend on the form of the spectrum for small wave numbers. These 1D vertical spectra have been studied extensively theoretically, 6,7 numerically, 8,9 and experimentally. [16][17][18][19][20][21] However, when considering sound propagation through IGW, one needs to know 3D spectra of temperature and wind velocity fluctuations rather than 1D spectra.…”

Section: A 3d Spectra For Large Wave Numbersmentioning

confidence: 99%

“…10, 16, 20, and 21 The 1D vertical spectra of temperature and wind velocity fluctuations considered in this section also agree with those derived theoretically 6,21 and calculated numerically. 8,9 C. Generalized 3D spectra…”

Section: B 1d Vertical Spectra For Large Wave Numbersmentioning

confidence: 99%

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Sound propagation through and scattering by internal gravity waves in a stably stratified atmosphere

Ostashev

Chunchuzov

Wilson

2005

The Journal of the Acoustical Society of America

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A stably stratified atmosphere supports propagation of internal gravity waves ͑IGW͒. These waves result in highly anisotropic fluctuations in temperature and wind velocity that are stretched in a horizontal direction. As a result, IGW can significantly affect propagation of sound waves in nighttime boundary layers and infrasound waves in the stratosphere. In this paper, a theory of sound propagation through, and scattering by, IGW is developed. First, 3D spectra of temperature and wind velocity fluctuations due to IGW, which were recently derived in the literature for the case of large wave numbers, are generalized to account for small wave numbers. The generalized 3D spectra are then used to calculate the sound scattering cross section in an atmosphere with IGW. The dependencies of the obtained scattering cross section on the sound frequency, scattering angle, and other parameters of the problem are qualitatively different from those for the case of sound scattering by isotropic turbulence with the von Kármán spectra of temperature and wind velocity fluctuations. Furthermore, the generalized 3D spectra are used to calculate the mean sound field and the transverse coherence function of a plane sound wave propagating through IGW. The results obtained also significantly differ from those for the case of sound propagation through isotropic turbulence.

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Section: Introductionsupporting

confidence: 85%

Section: A 3d Spectra For Large Wave Numbersmentioning

confidence: 99%

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Sound propagation through and scattering by internal gravity waves in a stably stratified atmosphere

Ostashev

Chunchuzov

Wilson

2005

The Journal of the Acoustical Society of America

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The Doppler spread theory and parameterization revisited

Hines¹

2004

Journal of Atmospheric and Solar-Terrestrial Physics

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Testing Lagrangian Theories of Internal Wave Spectra. Part I: Varying the Amplitude and Wavenumbers

Klaassen

2009

Journal of the Atmospheric Sciences

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A growing body of literature has been built on the premise that kinematic advection produced by linear superpositions of sinusoidal Lagrangian gravity waves confined to lower vertical wavenumbers can provide an explanation for quasi-universal Eulerian spectral tails commonly found in the oceans and the atmosphere. Recently, Hines has established criteria delineating the circumstances in which Eulerian and Lagrangian spectra differ. For conditions in which Hines claims Lagrangian linearity and the production of quasiuniversal Eulerian m 23 spectra, a kinematic advection model based on ensembles of seven nonstanding Lagrangian waves reveals the presence of gross violations of continuity and adiabaticity as well as severe departures from hydrostatic balance. Similar infractions are found for other seven-wave ensembles having a broad range of amplitudes and wavenumbers typical of saturated wave fields in the middle atmosphere. Furthermore, m 23 spectra are found only as the Lagrangian wave field approaches a singular state.The singularities in the Lagrangian to Eulerian transformation are induced by stretching deformation fields that form during the superposition of sinusoidal waves with nonparallel wave vectors. Such deformation fields are known to be unstable with respect to three-dimensional vortices. The results strongly suggest that saturated middle atmosphere wave fields are frequently accompanied by small-scale turbulent eddies.

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Modeling of gravity-wave tail spectra in the middle atmosphere via numerical and Doppler-spread methods

Cited by 5 publications

References 32 publications

Sound propagation through and scattering by internal gravity waves in a stably stratified atmosphere

Sound propagation through and scattering by internal gravity waves in a stably stratified atmosphere

The Doppler spread theory and parameterization revisited

Testing Lagrangian Theories of Internal Wave Spectra. Part I: Varying the Amplitude and Wavenumbers

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