The Propagation of Tsunami-Generated Acoustic–Gravity Waves in the Atmosphere

Yue Wu Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California

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Stefan G. Llewellyn Smith Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California

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James W. Rottman Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California

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Dave Broutman Computational Physics, Inc., Springfield, Virginia

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Jean-Bernard H. Minster Scripps Institution of Oceanography, University of California, San Diego, La Jolla, California

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Abstract

Tsunami-generated acoustic–gravity waves have been observed to propagate in the atmosphere up to the ionosphere, where they have an impact on the total electron content. The authors simulate numerically the propagation of two-dimensional linear acoustic–gravity waves in an atmosphere with vertically varying stratification and horizontal background winds. The authors’ goal is to compare the difference in how much energy reaches the lower ionosphere up to an altitude of 180 km, where the atmosphere is assumed to be anelastic or fully compressible. The authors consider three specific atmospheric cases: a uniformly stratified atmosphere without winds, an idealized case with a wind jet, and a realistic case with an atmospheric profile corresponding to the 2004 Sumatra tsunami. Results show that for the last two cases, the number and height of turning points are different for the anelastic and compressible assumptions, and the net result is that compressibility enhances the total transmission of energy through the whole atmosphere.

Corresponding author address: Yue Wu, Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, University of California, San Diego, 9500 Gilman Dr., La Jolla, CA 92093-0411. E-mail: wuyue@ucsd.edu

Abstract

Tsunami-generated acoustic–gravity waves have been observed to propagate in the atmosphere up to the ionosphere, where they have an impact on the total electron content. The authors simulate numerically the propagation of two-dimensional linear acoustic–gravity waves in an atmosphere with vertically varying stratification and horizontal background winds. The authors’ goal is to compare the difference in how much energy reaches the lower ionosphere up to an altitude of 180 km, where the atmosphere is assumed to be anelastic or fully compressible. The authors consider three specific atmospheric cases: a uniformly stratified atmosphere without winds, an idealized case with a wind jet, and a realistic case with an atmospheric profile corresponding to the 2004 Sumatra tsunami. Results show that for the last two cases, the number and height of turning points are different for the anelastic and compressible assumptions, and the net result is that compressibility enhances the total transmission of energy through the whole atmosphere.

Corresponding author address: Yue Wu, Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, University of California, San Diego, 9500 Gilman Dr., La Jolla, CA 92093-0411. E-mail: wuyue@ucsd.edu
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