A boundary-value problem for the parameterized mesoscale eddy transport
A boundary-value problem for the parameterized mesoscale eddy transport
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参数化介尺度涡流输运的边值问题
DOI：
10.1016/j.ocemod.2010.01.004
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发表时间：
2010
期刊：
影响因子：
3.2
通讯作者：
G. Vallis
中科院分区：
文献类型：
--
作者：
R. Ferrari;S. Griffies;A. Nurser;G. Vallis
我们提出了一个物理和数值激励的边界值问题，每个垂直的海洋柱，其解决方案产生一个参数化的中尺度涡诱导输送流函数。新的流函数是流体柱性质的非局部函数。它被构造成具有低斜压模态垂直结构，并平滑地过渡通过弱层结区域，如边界层或模态沃茨。它不需要匹配条件或正则化的非分层区域，它满足边界条件的零输运在海洋表面和底部，它提供了一个汇的可用势能为每个垂直海水柱，但不一定在列内的每个位置。数值实施的方法需要解决一个一维的三对角问题，为每个垂直列。为了说明该方法，我们给出了一个基于非线性Eady问题的分析示例和两个数值模拟。
We present a physically and numerically motivated boundary-value problem for each vertical ocean column, whose solution yields a parameterized mesoscale eddy-induced transport streamfunction. The new streamfunction is a nonlocal function of the properties of the fluid column. It is constructed to have a low baroclinic mode vertical structure and to smoothly transition through regions of weak stratification such as boundary layers or mode waters. It requires no matching conditions or regularization in unstratified regions; it satisfies boundary conditions of zero transport at the ocean surface and bottom; and it provides a sink of available potential energy for each vertical seawater column, but not necessarily at each location within the column. Numerical implementation of the methodology requires the solution of a one-dimensional tridiagonal problem for each vertical column. To illustrate the approach, we present an analytical example based on the nonlinear Eady problem and two numerical simulations.