理想海洋模式中边界分离问题的研究
A study on boundary separation in an idealized ocean model
摘要：
在数值海洋模型中，海岸线从一个网格单元到其相邻网格单元改变方向，并且粘度值被设置为尽可能小。因此，模型模拟不收敛的分辨率和边界分离点不同的本质属性从连续流场中的流动分离。在本文中，我们调查的质量表示的边界分离点在全球海洋模式。为此，我们应用完善的标准，在一个理想化的海洋模型设置的边界分离。我们研究了一个涡流解决以及稳定的测试情况下，理想化和非结构化的海岸线在浅水模型，是基于有限元离散化方法。结果表明，建立良好的分离标准未能检测到边界分离点，由于沿自由滑动边界的海洋流动的代表性不足。沿无滑移边界，大多数分离准则都能提供足够的结果。然而，一个非常复杂的标准的基础上动力系统理论表明，代表性的边界分离是有限的，这些流动。我们的结论是，边界分离点的数值海洋模式的代表是不令人满意的。这将对全球海洋模型中边界流的分离产生影响。
英文摘要：
In numerical ocean models coast lines change the direction from one grid cell to its neighbor and the value for viscosity is set to be as small as possible. Therefore, model simulations are not converged with resolution and boundary separation points differ in essential properties from flow separation in continuous flow fields. In this paper, we investigate the quality of the representation of boundary separation points in global ocean models. To this end, we apply well established criteria for boundary separation within an idealized ocean model setup. We investigate an eddy-resolving as well as a steady test case with idealized and unstructured coast lines in a shallow water model that is based on a finite element discretization method. The results show that well established criteria for separation fail to detect boundary separation points due to an insufficient representation of ocean flows along free-slip boundaries. Along no-slip boundaries, most separation criteria provide adequate results. However, a very sophisticated criterion based on dynamical system theory reveals that the representation of boundary separation is limited for these flows as well. We conclude that the representation of boundary separation points in numerical ocean models is not satisfying. This will have an impact on the separation of boundary currents in global ocean models.
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