Gravity wave propagation in a nonisothermal atmosphere with height varying background wind
Gravity wave propagation in a nonisothermal atmosphere with height varying background wind
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DOI：
10.1029/2007gl031061
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发表时间：
2007-12
影响因子：
5.2
通讯作者：
Qihou H. Zhou;Y. Morton
中科院分区：
文献类型：
--
作者：
Qihou H. Zhou;Y. Morton
本文推导了具有可变背景风廓线的可压缩非等温大气的重力波传播方程。各梯度项对垂直波数的影响仅取决于本征水平相速度和背景大气。对于背景风变化，在不同条件下，线性一阶导数项、二阶导数项和一阶导数项的平方中的任一项都可以是主导项。对于温度变化，只有线性一阶导数对于具有缓慢固有水平相速度的波很重要。我们的方程表明，风切变对垂直波数的影响与泰勒-戈尔茨坦方程预测的结果相反，泰勒-戈尔茨坦方程假设了不可压缩流体。我们还推导出一个表达式的垂直风扰动的振幅。
We derive a gravity wave propagation equation for a compressible and non‐isothermal atmosphere with a variable background wind profile. Impact of all the gradient terms on the vertical wavenumber depends only on the intrinsic horizontal phase velocity and the background atmosphere. For the background wind variation, any one of the linear first order derivative, second order derivative and the square of the first order derivative terms can be the dominant term under different conditions. For temperature variation, only the linear first order derivative is important for waves having a slow intrinsic horizontal phase velocity. Our equation indicates that the effect of wind shear on the vertical wavenumber is opposite to that predicted by the Taylor‐Goldstein equation, which assumes an incompressible fluid. We also derive an expression for the amplitude of the vertical wind perturbation.