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本文讨论并提出了一类气象上常用的带有可控制参数的光滑算子和一种ε—Spline概念。基于此,统一地给出了正方形(或矩形)网点的数值场的光滑算子公式和计算偏导数的一种格式。 光滑算子和差分格式中所含的参数,可以根据预报方程和滤波要求确定。我们以有限域正压原始方程为例,说明了如何确定对u,v(风场分量)和φ的光滑公式以及差分格式中的参数的方法。
This paper discusses and proposes a class of smoothing operators and a ε-Spline concept with controllable parameters commonly used in the weather. Based on this, a smooth operator formula for the numerical field of a square (or rectangular) network point and a format for calculating partial derivatives are given uniformly. The parameters contained in the smoothing operator and the difference format can be determined according to the prediction equation and filtering requirements. Taking the finite field forward pressure equation as an example, we illustrate how to determine the smoothing formulas for u, v (wind field components) and φ and the parameters in the difference scheme.