Modelling spatially correlated observation errors in variational data assimilation using a diffusion operator on an unstructured mesh
Modelling spatially correlated observation errors in variational data assimilation using a diffusion operator on an unstructured mesh
复制标题
使用非结构化网格上的扩散算子对变分数据同化中的空间相关观测误差进行建模
DOI：
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发表时间：
2019
影响因子：
8.9
通讯作者：
S. Gürol
中科院分区：
文献类型：
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作者：
Oliver Guillet;A. Weaver;X. Vasseur;Y. Michel;S. Gratton;S. Gürol
提出了一种变分资料同化中空间相关观测误差的表示方法。该方法是基于扩散方程的数值解，该技术通常用于表示空间相关的背景误差。扩散方程的伪时间导数的离散化是使用向后欧拉格式隐式完成的。由此产生的椭圆方程的解可以被解释为一个相关算子，其核是来自Matérn家族的相关函数。
We propose a method for representing spatially correlated observation errors in variational data assimilation. The method is based on the numerical solution of a diffusion equation, a technique commonly used for representing spatially correlated background errors. The discretization of the pseudo‐time derivative of the diffusion equation is done implicitly using a backward Euler scheme. The solution of the resulting elliptic equation can be interpreted as a correlation operator whose kernel is a correlation function from the Matérn family.