流体静力原始方程的涡度拟能界和时空尺度范围
Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations
摘要：
流体静力学原始方程（HPE）是大多数天气、气候和全球海洋环流数值模式的基础。HPE解决方案中的水平空间大小范围使用分析（非统计）方法来找到与$(Nu\,Ra\,Re)^{1/4}$成比例的缩放比例，这比目前通过计算可实现的范围要宽得多。HPE的尺度范围是从水平环流的时间平均拟能的分析边界确定的。这个界限允许形成非常小的空间尺度，其存在将激发非物理的大线性振荡频率和重力波速度。
英文摘要：
The hydrostatic primitive equations (HPE) form the basis of most numerical weather, climate and global ocean circulation models. Analytical (not statistical) methods are used to find a scaling proportional to $(Nu\,Ra\,Re)^{1/4}$ for the range of horizontal spatial sizes in HPE solutions, which is much broader than currently achievable computationally. The range of scales for the HPE is determined from an analytical bound on the time-averaged enstrophy of the horizontal circulation. This bound allows the formation of very small spatial scales, whose existence would excite unphysically large linear oscillation frequencies and gravity wave speeds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
