Parameterizing the Impact of Unresolved Temperature Variability on the Large‐Scale Density Field: Part 1. Theory.
Parameterizing the Impact of Unresolved Temperature Variability on the Large‐Scale Density Field: Part 1. Theory.
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DOI：
10.1029/2020ms002185
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发表时间：
2020-11
影响因子：
6.8
通讯作者：
Z. Stanley;I. Grooms;William Kleiber;Scott Bachman;Frédéric Castruccio;Alistair Adcroft
中科院分区：
文献类型：
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作者：
Z. Stanley;I. Grooms;William Kleiber;Scott Bachman;Frédéric Castruccio;Alistair Adcroft
未解决的温度和盐度波动与非线性海水状态方程相互作用，在大尺度密度场的海洋模式评估中产生重大误差。结果表明，温度波动的影响大于盐度波动的影响，密度误差与亚网格尺度温度方差和状态方程二阶导数的乘积成正比。提出了两种参数化方法来校正大尺度密度场：一种是确定性的，一种是随机的。两种参数化中的自由参数使用精细分辨率模型数据进行拟合。这两种参数化都是计算效率高的，因为它们只需要在每个网格单元上对非线性方程进行一次额外的评估。另一篇论文将讨论本文提出的参数化对气候的影响。
Unresolved temperature and salinity fluctuations interact with a nonlinear seawater equation of state to produce significant errors in the ocean model evaluation of the large‐scale density field. It is shown that the impact of temperature fluctuations dominates the impact of salinity fluctuations and that the error in density is, to leading order, proportional to the product of a subgrid‐scale temperature variance and a second derivative of the equation of state. Two parameterizations are proposed to correct the large‐scale density field: one deterministic and one stochastic. Free parameters in both parameterizations are fit using fine‐resolution model data. Both parameterizations are computationally efficient as they require only one additional evaluation of a nonlinear equation at each grid cell. A companion paper will discuss the climate impacts of the parameterizations proposed here.