Computer Science – Sound
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jgr....81..633w&link_type=abstract
Journal of Geophysical Research, vol. 81, Feb. 1, 1976, p. 633-652.
Computer Science
Sound
13
Atmospheric Diffusion, Gravity Waves, Orbit Perturbation, Sound Waves, Amplitudes, Functions (Mathematics), Integral Equations, Nonlinear Equations, Perturbation Theory, Wave Equations
Scientific paper
A method is presented for calculating the nonlinear properties and effects of internal acoustic-gravitational waves. This method is referred to as perturbed orbits or modified orbits and has been widely used in theories of plasma waves. The basis of this method is to express nonlinear wave oscillation in terms of the orbits of the particles of the medium. The task of calculating nonlinear wave effects is thus transformed into one of calculating particle orbits. The latter task is simplified by the use of elementary statistical techniques, such as cumulant expansions. The method of perturbed orbits is also closely related to the direct interaction approximation. This method is applied to calculate the nonlinear saturation (self-limited) amplitude of atmospheric gravitational waves. Here, saturation amplitude refers to the amplitude of gravitational waves above which nonlinearities are strong enough to stop the wave from growing with height. The saturation amplitude is the largest amplitude a gravitational wave spectrum can attain. The present results for the saturation amplitude are compared with gravitational wave amplitudes observed in the mesosphere. A calculation is also made of the enhancement of atmospheric diffusion by gravitational waves. The enhanced diffusion coefficient plays an important role in the present theory, and its predicted value is consistent with observations of enhanced transport in the mesosphere.-
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