发表机构
Max Planck Institute for Meteorology; Imperial College London（马克斯·普朗克气象研究所; 帝国理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对全球海洋动力学受计算能力限制导致小尺度需特设参数化的问题，提出适用于所有尺度的计算模型，可覆盖从行星尺度到对流尺度等全范围。
AI 中文摘要
全球海洋的动力学涵盖了惊人的尺度范围，环流过程的跨度从数千公里到毫米级，时间跨度从秒级到千年级。我们对全球海洋动力学的理解在很大程度上基于海洋模型模拟数据的分析，计算模型能够提供观测数据无法实现的时空覆盖范围。然而，计算海洋模型可模拟的尺度受限于可用的计算能力，原本被认为无法实现的更小尺度，因动力学方程中的近似处理而被先验排除，例如流体静力学近似和布辛尼斯克近似。自1969年Bryan等人的研究以来，流体静力学布辛尼斯克模型一直被用于模拟行星尺度到公里级的中尺度涡分辨尺度，在计算资源可负担的约1至100公里分辨率下，流体静力学近似适用于大多数海洋现象。被移除的尺度对所模拟尺度的影响——在流体静力学近似中为对流尺度——必须通过特设参数化方案来替代。
英文摘要
We introduce a computational method that extends the range of current global ocean climate models to non-hydrostatic scales, and establishes a convection resolving ocean model. The main obstruction towards this goal at global scale -the calculation of the non-hydrostatic pressure- is resolved by computing the pressure locally in a manner that capitalizes on particular conditions of ocean dynamics, and the structure of ocean models. Our claims are substantiated 1) by a theoretical analysis, which shows that the proposed method is compatible with ocean physics, 2) by numerical experiments, which evidence by comparison that it represents faithfully and to high accuracy non-hydrostatic dynamics, and 3) by a performance analysis that establishes that our non-hydrostatic method exceeds the cost of a hydrostatic model by a fixed factor of about $1.2$ in operation count and $1.3$ in runtime at any resolution. We show how to use the additional information contained in non-hydrostatic scales can be used to calculate the diffusivity free from numerical contributions and the mixing efficiency, transforming both from prescribed values by the modeller to calculated values from the dynamics.
