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Home > Newsevents > Training > Rcourse_notes > DATA_ASSIMILATION > GRAV-WAVE_CONTROL >  
   

The control of gravity waves in data assimilation
27 April 1999

By Adrian Simmons
European Centre for Medium-Range Weather Forecasts




 
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Abstract


The need to control gravity waves in data assimilation and the general concept of initialization are discussed. The basic method of non-linear normal-mode initialization is introduced, and aspects of its implementation in models are presented, covering the vertical and horizontal modal decomposition, implicit initialization and diabatic initialization. The control of gravity waves in the ECMWF variational data assimilation system is described. An introduction to the alternative method of digital filtering is also given.

Table of contents

1 . Introduction

2 . Non-linear normal-mode initialization
  2.1 Basic method
  2.2 Vertical decomposition
  2.3 Horizontal decomposition
  2.4 Implicit initialization
  2.5 Diabatic initialization

3 . Control of gravity waves in the ECMWF variational data assimilation system

4 . Digital filtering
  4.1 Adiabatic, non-recursive filtering
  4.2 Diabatic, recursive filtering
  4.3 Diabatic, non-recursive filtering

APPENDIX A . Definition of operators for the ECMWF vertical finite-difference scheme

APPENDIX B . The Lamb Wave

APPENDIX C . The non-recursive implementation of the recursive filter

References


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