Geostrophic adjustment in a closed basin with islands
Geostrophic adjustment in a closed basin with islands
复制标题
岛屿封闭盆地的地转调整
DOI：
10.1017/jfm.2013.598
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发表时间：
2013
影响因子：
3.7
通讯作者：
Johnson E
中科院分区：
文献类型：
--
作者：
Johnson E
在线性化理论的背景下，我们考虑了平面上等深度盆地中密度分层流体的地转调节问题。对于单个垂直振型，这些方程等价于均匀流体的线性化浅水理论的方程。与任何初始状态相关的，都有一个独特的、稳定的、经地转调整的、与初始状态相适应的气流成分。这个稳定分量给出了流的时间平均值，类似于在没有岛屿的无界区域中调整后的流。响应的其余部分由超惯性Poincaré和亚惯性Kelvin波模式组成，任意盆地中模式之间的能量分配的表达式再次直接从初始条件推导出来。求出了圆域内任意初始密度分布的闭合解。当Rossby半径比盆地半径小得多时，对于斜压模，内部调整解与初始态的解接近，除了小幅度捕获的Poincaré波，而Kelvin波在边界附近传播，在不改变形式的情况下，初始高度场与其平均值的偏差。
We consider the geostrophic adjustment of a density-stratified fluid in a basin of constant depth on an -plane in the context of linearized theory. For a single vertical mode, the equations are equivalent to those for a linearized shallow-water theory for a homogeneous fluid. Associated with any initial state there is a unique steady geostrophically adjusted component of the flow compatible with the initial conditions. This steady component gives the time average of the flow and is analogous to the adjusted flow in an unbounded domain without islands. The remainder of the response consists of superinertial Poincaré and subinertial Kelvin wave modes and expressions for the energy partition between the modes in arbitrary basins again follow directly from the initial conditions. The solution for an arbitrary initial density distribution released from rest in a circular domain is found in closed form. When the Rossby radius is much smaller than the basin radius, appropriate for the baroclinic modes, the interior adjusted solution is close to that of the initial state, except for small-amplitude trapped Poincaré waves, while Kelvin waves propagate around the boundaries, carrying, without change of form, the deviation of the initial height field from its average.
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影响因子：
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影响因子：
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作者：
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