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Sedimentation calculations within an Eulerian framework using series of basis functions
Quarterly Journal of the Royal Meteorological Society ( IF 3.0 ) Pub Date : 2021-02-25 , DOI: 10.1002/qj.4009
Camilo Rodríguez 1 , Léster Alfonso 2
Affiliation  

A gravitational sedimentation parametrization is presented, which sets the dynamic framework for the parametrization philosophy of linear combination of basis functions. The entire drop spectrum is represented as a linear combination of log‐normal distributions as part of an Eulerian simulation framework, in which all parameters of the distributions are calculated based on a prescribed set of three prognostic moments, thus eliminating the need of fixing any parameter to close the system of equations. The parametrization presents the advantage of avoiding the classification of water substance in artificial categories such as cloud water or rain water. Several experiments were performed, with an increasing number of distribution functions up to three, and with different sets of moments to establish which set performed the best. The comparison against the solution of an explicit sedimentation model shows that this parametrized approach is accurate enough to consider its inclusion in multi‐dimensional cloud models, achieving a better representation of the spectra with the use of a three‐member linear combination of basis functions.

中文翻译:

使用一系列基函数在欧拉框架内进行泥沙计算

提出了重力沉降参数化方法,它为基本函数线性组合的参数化原理设定了动态框架。整个墨滴谱表示为对数正态分布的线性组合,这是欧拉模拟框架的一部分,其中分布的所有参数都是根据一组预定的三个预测时刻计算的,因此无需固定任何参数关闭方程组。参数化具有避免将水类归类为人工水(如云水或雨水)类别的优势。进行了几次实验,其中分配函数的数量增加到三个,并且使用不同的矩集来确定哪一组表现最佳。
更新日期:2021-05-03
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