Global Model Prediction Optimization Using Three DimensionalTruncation

大气（或海洋）预测方程的解需要理解流体的三维空间性质，包括动力学和物理学、守恒条件和作用力。由于方程异常复杂且高度非线性，因此有必要将这些方程转换为一些数值形式，以便在可用计算能力的限制下提供有意义的迭代解。挑战在于如何以最佳方式做到这一点。虽然这个问题已经被调查了，但由于系统的性质，过去一直独立考虑水平和垂直表示。主要研究者认为，同时在所有三个维度上系统地截断大气/海洋预测方程可以提高预测技能。因此，本研究的目的是研究数值模型中各维度截断的相关性，并找到一个在所有三个维度上都是系统的截断。首席研究员将根据基于他以前研究结果的缩放参数选择截断，并定义适当的函数。为了建立最优的三维截断，将在NOAA国家气象中心（NMC）的业务数值预测模型中对这些函数进行测试。该项目是NSF-NMC数值天气预报联合项目的一部分。

Solutions to the atmospheric (or oceanic) prediction equations require an understanding of the three dimensional spatial nature of the fluid, including dynamics and physics, conservation conditions, and forcing. Since the equations are exceptionally complex and highly nonlinear, it is necessary to convert those equations to some numerical form which will provide meaningful iterative solutions within the constraints of available computational capabilities. The challenge is to do so optimally. While the problem has been investigated, because of the nature of the system, horizontal and vertical representations have been considered independently in the past. It is the contention of the principal investigator that systematic truncation of the atmosphere/ocean prediction equations in all three dimensions simultaneously could improve predictive skill. Thus, the purpose of this research is to study the correlation of truncation in all dimensions in a numerical model, and to find a truncation which is systematic in all three dimensions. The principal investigator will select a truncation according to scaling arguments that are based on the results from his previous studies and define appropriate functions. To establish the optimal three dimensional truncation, the functions will be tested in the operational numerical prediction model of NOAA's National Meteorological Center (NMC). This project is part of the NSF-NMC Program Joint Program in Numerical Weather Prediction.