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首页> 外文期刊>Journal of Physical Oceanography >On Quasigeostrophic Normal Modes in Ocean Models: Weakly Nonseparable Situation
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On Quasigeostrophic Normal Modes in Ocean Models: Weakly Nonseparable Situation

机译：海洋模式中的准地转正态模式：弱不可分的情况

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摘要

This study examines quasigeostrophic Rossby eigenmodes of homogeneous as well as stratified oceans. Analytical studies of Rossby basin modes are usually done by using simple basin geometries. Simple means that solutions are available by applying a separation ansatz in looking for basin modes. Here the focus is on half-trapezoidal geometry, in particular on a stratified ocean with a half-trapezoidal (zonal) cross section. In this case, separation is not possible. However, approximate solutions can be found. Different approximations are discussed: one related to linearization of the boundary conditions, one related to a sight change in boundary geometry, and one that uses an asymptotic expansion. It is shown that the widely used "linearized boundary conditions" give wrong results for low-frequency modes. The reason is that weak asymmetries of the basin are neglected and wave energy is therefore distributed too homogeneously in the basin. Although the basin's geometry used deviates only slightly from a square and the eigenvalue spectrum corresponds well with that of a square basin, eigenmodes can still differ greatly.
机译：这项研究研究了均质和分层海洋的准地层营养Rosby本征模式。 Rossby盆地模式的分析研究通常是通过使用简单的盆地几何来完成的。简单意味着在寻找流域模式时通过应用分离ansatz可获得解决方案。这里的重点是半梯形几何形状，特别是在具有半梯形（区域）横截面的分层海洋上。在这种情况下，无法分离。但是，可以找到近似的解决方案。讨论了不同的近似值：一种与边界条件的线性化有关，一种与边界几何形状的视线变化有关，另一种与渐近展开有关。结果表明，对于低频模式，广泛使用的“线性化边界条件”给出了错误的结果。原因是忽略了盆地的弱非对称性，因此波能在盆地中的分布过于均匀。尽管所用盆地的几何形状仅与正方形略有偏离，并且特征值谱与正方形盆地的谱图很好地吻合，但本征模态仍然可以有很大差异。

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