Conserving quantities related to potential vorticity in numerical models.

在理想的，invscid限制，流体动力学方程保存机械能和流体粒子的位涡。在地球大气和海洋的计算机模型中，位涡拟能守恒（平均平方位涡）被认为可以防止能量虚假地转移到模型的最小空间尺度。由于增加了次网格尺度的粘性，未能保持位涡拟能的数值模式具有不切实际的大能量耗散。尽管如此，实际上目前用于计算大气和海洋中大尺度流动的所有模型在无粘极限下都不守恒潜涡拟能。在这项研究中，斯克里普斯海洋学研究所的一名科学家将设计大气和海洋的数值模型，以保存能量、潜在涡度拟能和其他与潜在涡度有关的量。预计这些模型比目前使用的数值模型更稳定，耗散更少。博士生将参与其中。因此，该项目将对模型开发的未来产生广泛影响。

In the ideal, invscid limit, the equations of fluid dynamics conserve mechanical energy and the potential vorticity on fluid particles. In computer models of the Earth's atmosphere and ocean, the conservation of potential enstrophy (the average, squared potential vorticity) is known to prevent a spurious transfer of energy to the smallest spatial scales of the model. Numerical models that fail to conserve potential enstrophy have an unrealistically large dissipation of energy due to the sub-grid-scale viscosity that is added. Despite this, virtually all of the models which are currently used to compute large-scale flow in the atmosphere and the ocean do not conserve potential enstrophy in the inviscid limit. In this study, a scientist at Scripps Institution of Oceanography will design numerical models for the atmosphere and ocean that conserve energy, potential enstrophy and other quantities related to potential vorticity. These models are expected to be more stable and less dissipative than the current generation of numerical models in use. A PhD student will be involved. The project therefore will have a broad impact on the future of model development.