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Home > Research > Ifsdocs > ASSIMILATION >  
   

DATA ASSIMILATION

IFS documentation Front Page


Table of contents

CHAPTER 1 Incremental formulation of 3D/4D variational assimilation-an overview

CHAPTER 2 3D variational assimilation

CHAPTER 3 4D variational assimilation

CHAPTER 4 Background term

CHAPTER 5 Conventional observational constraints

CHAPTER 6 Satellite observational constraints

CHAPTER 7 Background, analysis and forecast errors

CHAPTER 8 Gravity-wave control

CHAPTER 9 Data partitioning (OBSORT)

CHAPTER 10 Observation screening

CHAPTER 11 Analysis of snow

CHAPTER 12 Land surface analysis

CHAPTER 13 SST and sea-ice analysis

CHAPTER 14 Reduced-rank Kalman filter

REFERENCES

 
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8.1 Introduction




In 3D-Var, gravity-wave control is achieved via the techniques of normal-mode initialization (NMI), in 4D-Var a weak constraint digital filter is used. The construction of a high-resolution analysis by combining a high-resolution background with increments defined at lower resolution makes direct use of an incremental form of nonlinear NMI, as in Chapter 1 `Incremental formulation of 3D/4D variational assimilation-an overview' for 3D-Var and Chapter 3 `4D variational assimilation' Eq. (3.3) for 4D-Var. There is an initialization step in creating the low-resolution background field, see Section 2.2. Computation of the penalty term (see Eq. (1.1)) is based on NMI methods for 3D-Var, on DFI for 4D-Var.


Section 8.2 provides a brief overview of NMI techniques, together with references to scientific papers in which further details can be found. Section 8.3 describes the computation of normal modes and related arrays. Section 8.4 documents the implementation of nonlinear NMI in 3D- and 4D-Var, while Section 8.5 describes the computation of . Section 8.6 gives an overview of digital filter initialization techniques while Section 8.7 describes its implementation.


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