Atmospheric Frontogenesis: A Numerical Experiment.

Atmospheric Frontogenesis: A Numerical Experiment.
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大气锋生:数值实验。

DOI:
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发表时间:
1967
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影响因子:
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通讯作者:
R. T. Williams
R. T. Williams
中科院分区:
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文献类型:
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作者:
R. T. Williams

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摘要本研究的目的是从一个最初只包含大尺度变化的场产生一个狭窄的锋区。在这个模型中,除了温度和压力之外,所有的量都与y(纬度)无关,并且它们的y导数只是z的函数。采用流体静力Boussinesq方程,忽略摩擦、加热和f的变化。在实验中,一个增长的斜压波以这样一种方式扭曲自己,从而产生冷锋区。两个不同Δ x值的比较积分表明,如果Δ x任意小,波前将在有限时间内变得不连续。得到了具有数值解主要特征的粗糙解析解。在数学上,解析解类似于描述冲击和压力跃变形成的解析解。在物理上,锋面的情况是完全不同的,因为涡度总是远远大于d…
Abstract The objective of this study is to produce a narrow frontal zone from a field which initially contains only large-scale variations. In the model, all quantities except the temperature and pressure are independent of y (latitude), and these have y derivatives which are only functions of z. The hydrostatic Boussinesq equations are employed, and friction, heating, and the variation of f are neglected. In the experiment a growing baroclinic wave distorts itself in such a way that a cold frontal zone is produced. Comparative integrations with two different values of Δx indicate that the front would become discontinuous within a finite period of time if Δx were made arbitrarily small. A crude analytical solution is obtained which has the main characteristics of the numerical solutions. Mathematically, the analytical solution is similar to those which describe the formation of shocks and pressure jumps. Physically, the frontal case is quite different because the vorticity is always much larger than the d...