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A numerical study on gravity wave excited through nonresonant interaction
重力波非共振激发的数值研究

Keywords: Gravity wave packet,2nd order operator-splitting scheme,Nonresonant interaction,Degree of interaction,Characteristic time
重力波波包
,二阶算子分裂格式,非共振相互作用,相互作用程度,特征时间

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Abstract:

By using a 2nd order operator-splitting scheme and taking a fully nonlinear model,numerical simulation of gravity wave excited through nonresonant interaction in a compressible atmosphere is carried out.The results show that a downward propagating gravity wave packet can be excited by two up-going gravity wave packets owing to the nonresonant interaction.The energy of the excited wave is almost proportional to the energy of the primary wave,and increases slowly with initial energy of the secondary wave growing up,too.Wave energy tends to transfer mainly from the primary wave with highest frequency to other two waves,which isn't completely consistent with the resonant interaction.The characteristic time of the nonresonant interaction depends on the initial positions,wavelengths and frequencies of the primary and secondary waves,however,is independent of their initial amplitudes.The wave vector of the excited wave doesn't strictly satisfy the wave vector matching condition which is predicted by the weakly nonlinear interaction theory.Moreover,the wavelength and frequency of the excited wave are found to vary with time in the propagation.These indicate the weakly nonlinear interaction theory is limited to some extent for the nonresonant interaction.

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