The Temporal-Residual-Mean Velocity. Part II: Isopycnal Interpretation and the Tracer and Momentum Equations
The Temporal-Residual-Mean Velocity. Part II: Isopycnal Interpretation and the Tracer and Momentum Equations
复制标题
时间残余平均速度。
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
P. McIntosh
中科院分区：
文献类型：
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作者：
T. McDougall;P. McIntosh
摘要中尺度涡旋以一种高度受限于流体分层性质的方式混合流体包裹。时间-剩余-平均（TRM）理论提供了不同视图之间的联系，这些视图从高度坐标和密度坐标中的湍流场的时间平均中可以看出。在这里，原来的TRM理论进行了修改，使其适用于非定常流。这不仅需要修正流函数（因此也需要修正速度矢量），还需要对密度场进行特殊的解释;密度场不是欧拉平均密度。TRM理论将涡通量的参数化问题从三维简化为二维。的三维TRM速度示出是相同的，通过平均相对于瞬时密度表面和平均的高度坐标和密度坐标中的守恒方程是相同的，除了一个nondivergent通量，确定和解释。TRM理论演示
Abstract Mesoscale eddies mix fluid parcels in a way that is highly constrained by the stratified nature of the fluid. The temporal-residual-mean (TRM) theory provides the link between the different views that are apparent from temporally averaging these turbulent flow fields in height coordinates and in density coordinates. Here the original TRM theory is modified so that it applies to unsteady flows. This requires a modification not only to the streamfunction (and hence the velocity vector) but also a specific interpretation of the density field; it is not the Eulerian-mean density. The TRM theory reduces the problem of parameterizing the eddy flux from three dimensions to two dimensions. The three-dimensional TRM velocity is shown to be the same as is obtained by averaging with respect to instantaneous density surfaces and the averaged conservation equations in height coordinates and in density coordinates are the same except for a nondivergent flux that is identified and explained. The TRM theory demo...