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本文对具有高斯分布的重力波波包在耗散大气中的非线性传播过程进行数值模拟和分析,并与重力波波包在无耗大气中非线性传播的数值计算结果进行比较,以辨明耗散在重力波非线性传播过程中所起的作用.数值分析结果表明:尽管存在非线性效应和耗散的共同作用,在整个传播过程中,波包和波相关能量仍然能够自由地向上传输.波相关扰动速度随高度的增加而增加,但是明显小于波包在无耗大气中传播时的结果,并且随着波包的向上传播,背景风场出现明显增强.重力波波包的波能量随时间单调下降,能量传播路径和速度均与重力波波包在无耗大气中非线性传播时的结果一致.可见重力波波包在耗散大气中传播时,波能量传播路径和速度并不受耗散的影响,背景耗散对重力波的作用仅仅限制波振幅的增长,并将波能量传递给背景风场.
In this paper, the numerical simulation and analysis of the nonlinear propagation of a gravity wave package with Gaussian distribution in the dissipative atmosphere are carried out and compared with the numerical results of the non-linear propagation of the gravity wave package in a lossless atmosphere, The role of dispersion in the non-linear propagation of gravity waves. The numerical results show that the wave packet and the wave-related energy are still able to transmit freely in the whole propagation process despite the synergy of nonlinear effect and dissipation. The wave perturbation velocity increases with the increase of height, but it is obviously lower than that when the wave packet propagates in the lossless atmosphere, and the background wind field obviously increases as the wave packet propagates upward. The wave energy of the gravity wave package decreases monotonically with time, and the energy propagation path and velocity are consistent with the results of the nonlinear wave propagation of the gravity wave package in the non-consumption atmosphere. It can be seen that the propagation path and speed of the wave energy are not affected by the dissipation when the gravity wave package propagates in the dissipative atmosphere. The effect of the background dissipation on the gravity wave only limits the increase of the wave amplitude and transmits the wave energy to the background wind field.