An analytic solution for barotropic flow along a variable slope topography
An analytic solution for barotropic flow along a variable slope topography
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沿变坡地形的正压流解析解
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发表时间：
2014
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通讯作者：
J. Kuehl
中科院分区：
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作者：
J. Kuehl
推导了沿着倾斜地形流动的正压流的一般海洋学情况的解析解。结果表明，浅水方程可以简化为类热方程，其中 β 效应通过 Ekman 耗散来平衡。对于恒定的地形，系统被发现承认一个众所周知的相似解，并且该解决方案被推广到可变地形的情况。探讨了该解的几个属性，并给出了沿着德索托峡谷和密西西比峡谷之间的墨西哥湾北部斜坡流动的例子。这种“地形β羽流”解决方案可以作为进一步研究地球物理边界层通过其结构和稳定性对内部流产生的影响的模型。
An analytic solution is derived for the generic oceanographic situation of a barotropic current flowing along sloping topography. It is shown that the shallow water equations can be reduced to a heat‐like equation in which βeffect is balanced by Ekman dissipation. For constant topography, the system is found to admit a well‐known similarity solution and this solution is generalized to the case of variable topography. Several properties of the solution are explored, and an example is given for flow along the northern Gulf of Mexico slope, between the De Soto Canyon and the Mississippi Canyon. This “Topographic β‐plume” solution may serve as a model for further research concerning the influence exerted by geophysical boundary layers on the interior flow via their structure and stability.