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首页> 外文期刊>Nonlinear processes in geophysics >The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction
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The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction

机译：自由罗斯比波与半透明赤道波导的相互作用-波均流相互作用

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摘要

Nonlinear interactions of the barotropic Rossby waves propagating across the equator with trapped baroclinic Rossby or Yanai modes and mean zonal flow are studied within the two-layer model of the atmosphere, or the ocean. It is shown that the equatorial waveguide with a mean current acts as a resonator and responds to barotropic waves with certain wavenumbers by making the trapped baroclinic modes grow. At the same time the equatorial waveguide produces the barotropic response which, via nonlinear interaction with the mean equatorial current and with the trapped waves, leads to the saturation of the growing modes. The excited baroclinic waves can reach significant amplitudes depending on the magnitude of the mean current. In the absence of spatial modulation the nonlinear saturation of thus excited waves is described by forced Landau-type equation with one or two attracting equilibrium solutions. In the latter case the spatial modulation of the baroclinic waves is expected to lead to the formation of characteristic domain-wall defects. The evolution of the envelopes of the trapped Rossby waves is governed by driven Ginzburg-Landau equation, while the envelopes of the Yanai waves obey the "first-order" forced Ginzburg-Landau equation. The envelopes of short baroclinic Rossby waves obey the damped-driven nonlinear Schrodinger equation well studied in the literature.
机译：在大气或海洋的两层模型中研究了正压Rossby波在赤道上传播的非线性相互作用与被困的斜压Rossby或Yanai模式以及平均纬向流的相互作用。结果表明，具有平均电流的赤道波导起谐振器的作用，并通过使俘获的斜压模增长来响应一定波数的正压波。同时，赤道波导产生正压响应，该正压响应通过与平均赤道电流和陷波的非线性相互作用而导致增长模式的饱和。根据平均电流的大小，激发的斜压波可以达到明显的振幅。在没有空间调制的情况下，如此激发的波的非线性饱和度由具有一个或两个吸引平衡解的强制Landau型方程描述。在后一种情况下，期望斜压波的空间调制会导致形成特征畴壁缺陷。捕获的Rossby波包络的演化由驱动的Ginzburg-Landau方程控制，而Yanai波的包络服从“一阶”强迫的Ginzburg-Landau方程。短斜斜Rossby波的包络服从在文献中充分研究的阻尼驱动非线性Schrodinger方程。

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