Abstract

This paper presents a general-purpose analysis package able to solve two- and three- dimensional analysis problems. The system can use the following methods of solution: Successive Approximation (SA), Optimal Interpolation (OI), and 3D-Var. Analyses are given for the following parameters: zonal and meridional wind components, temperature, relative humidity, and geopotential height. The analysis package was applied to produce analyses at 6 h time interval for the period 1-11 August 2008. The period was selected for data availability and forty-one analyses were collected. The results show the validity of the different solutions, which can be chosen depending on the physical problem to solve and on the computational resources available. In particular, assuming the observations as the reference, all solutions show a decrease of the RMSE compared to the background. The decrease is consistent with the particular setting of the analysis system used in this paper. The comparison between different solutions shows that the SA converges to OI in few iterations, and that the SA solution with ten iteration is, in practice, equal to OI. Moreover, the 3D-Var method shows its potential to improve the analysis, once the horizontal and vertical length-scales and the background and observational errors are set optimally, because its solution may be sizeably different from two-dimensional methods.

Highlights

  • The aim of this study is to show the characteristics of a general-purpose analysis package able to solve two- and three-dimensional problems, and in particular to show: 1) its different solution methods; 2) the relationships among solution methods; and 3) how it can be used in conjunction with numerical weather prediction (NWP) models

  • The analysis package shown in this paper can solve the analysis using different methods: successive approximation, Optimal Interpolation, and 3D-Var methods.Analyses are produced for the following parameters: zonal and meridional wind components, geopotential height, temperature, and relative humidity1

  • This paper shows the performanceof a general purposes analysis package able to solve two- and three-dimensional problems adopting the following solutions: successive approximation, optimal interpolation, and 3D-Var

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Summary

Introduction

The aim of this study is to show the characteristics of a general-purpose analysis package able to solve two- and three-dimensional problems, and in particular to show: 1) its different solution methods; 2) the relationships among solution methods; and 3) how it can be used in conjunction with numerical weather prediction (NWP) models. The analysis package shown in this paper can solve the analysis using different methods: successive approximation, Optimal Interpolation, and 3D-Var methods (see [1] for a general review).Analyses are produced for the following parameters: zonal and meridional wind components, geopotential height, temperature, and relative humidity. In addition to 3D-Var, two-dimensional methods, namely Optimal Interpolation and successive approximation, are used to solve three-dimensional problems This is a main issue that the reader should keep in mind while reading. The behaviour of the RMSE for different methods shows the correctness of the implementation; Section 4 shows the differences between the analyses solutions by showing their RMSE computed assuming the Optimal Interpolation as the reference, and; Section 5 provides the conclusions

The Analysis Grid Set-Up
The Analysis System
Optimal Interpolation
Analysis Performance and Statistics
Comparison between Methods of Solution
Conclusions
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