Assessing modelled mesoscale stirring using microscale observations

D. A. Cherian, Y. Guo, F. O. Bryan
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Abstract

We assess the representation of mesoscale stirring in a suite of models against an estimate derived from microstructure data collected during the North Atlantic Tracer Release Experiment (NATRE). We draw heavily from the approximate temperature variance budget framework of Ferrari and Polzin (2005, Journal of Physical Oceanography). This framework assumes two sources of temperature variance away from boundaries: first, the vertical stirring of the large-scale mean vertical gradient by small-scale turbulence; and second, the lateral stirring of large-scale mean along-isopycnal gradients by mesoscale eddies. Temperature variance so produced is transformed and on average transferred down scales for ultimate dissipation at the microscale at a rate χ estimated using microstructure observations. Ocean models represent these pathways by a vertical mixing parameterization, and an along-isopycnal lateral mixing parameterization (if needed). We assess the rate of variance production by the latter as a residual from the NATRE dataset, and compare against the parameterized representations in a suite of model simulations. We find that variance production due to lateral stirring in a POP2 1/10° simulation agrees well, to within the estimated error bars, with that inferred from the NATRE estimate. A POP2 1° simulation and the ECCOV4r4 simulation appear to dissipate an order of magnitude too much variance by applying a lateral diffusivity, when compared to the NATRE estimate, particularly below 1250 m. The ECCOV4r4 adjusted lateral diffusivities are elevated where the microstructure suggests elevated χ sourced from mesoscale stirring. Such elevated values are absent in other diffusivity estimates suggesting the possibility of compensating errors and caution in interpreting ECCOV4r4’s adjusted lateral diffusivities.
利用微观观测评估中尺度搅拌模型
我们根据北大西洋示踪剂释放实验(NATRE)期间收集的微观结构数据,评估了一套模式对中尺度搅动的表示。我们主要借鉴了 Ferrari 和 Polzin(2005 年,《物理海洋学杂志》)的近似温度变异预算框架。该框架假定远离边界的温度变异有两个来源:一是小尺度湍流对大尺度平均垂直梯度的垂直搅动;二是中尺度涡流对大尺度平均沿同向梯度的横向搅动。由此产生的温度变化被转换并平均向下传递,最终在微尺度上以微观结构观测估计的速率 χ 消散。海洋模式通过垂直混合参数化和沿同向横向混合参数化(如需要)来表示这些路径。我们评估了后者作为 NATRE 数据集的残差所产生的变异率,并在一套模式模拟中与参数化表示进行了比较。我们发现,在 POP2 1/10° 模拟中,横向搅拌产生的变异与 NATRE 估算的变异非常吻合,误差在估计误差范围内。与 NATRE 估计值相比,POP2 1° 模拟和 ECCOV4r4 模拟应用横向扩散率产生的变异似乎过多,特别是在 1250 米以下。其他扩散系数估计值中没有这种升高值,这表明可能存在补偿误差,在解释 ECCOV4r4 调整后的横向扩散系数时应谨慎。
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