三维多元最优插值的区域性试验

A TEST OF 3-DIMENSIONAL MULTIVARIATE OPTIMUM INTERPOLATION IN REGIONAL ANALYSIS

中文摘要:

      本文选用500hPa,300hPa两层,三个变量,即位势高度(φ),沿纬圈的风分量(u),沿经圈的风分量(v),在东亚区域(20°N-60°N,75°E-140°E)进行了最优插值的区域性试验,按660×660Km分成66个盒子进行分析。本文推导出一套球坐标系下的误差协方差公式,建立了一套自动资料质量检验程序,并进行了格点分析,分析出插值增量和插值误差。同时本文还讨论了最优插值的数学问题,着重讨论了误差协方差矩阵M的特征,提出了两种方法来修正M矩阵,保证最优插值顺利进行。

英文摘要:

      A test of 3-dimensional multivariate optimum interpolation has been performed in a regional analysis. The domain covering (20°N-60°N,75°E-140°E) over eastern Asia is chosen for the test which is divided into 66 boxes of 660×660 km². Three variates, geopotential height(φ),zonal and meridional compo- nents of wind (u and v) are analysed for the 500 hPa and 300 hPa levels. Based on the formula of error covariances in spherical coordinates the programme of automatic data quality control and analysis have been set up and the analysis increments and interpolation error evaluated. Some mathematical problems involved in OI are discussed concentrating on the characteristies of the error covariance. matrix M. Two methods to modify the M matrix are suggested when its positive definite property violated to ensure the success of OI analysis.