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Semi-Implicit spectral computations and predictor-corrector schemes in the cycle 46t1r1 of ARPEGE/IFS.

Tuesday 12 February 2019 by Karim Yessad
  Sommaire  

 Abstract:

This documentation describes two types of schemes allowing to stabilize the numerical discretizations of the models: the semi-implicit scheme and the iterative centred-implicit scheme (sometimes called predictor-corrector scheme). An algorithmic description to different types of equations, and some technical information (organigramme) are provided.


 RESUME:

CETTE DOCUMENTATION DECRIT DEUX TYPES DE SCHEMAS PERMETTANT DE STABILISER LES DISCRETISATIONS NUMERIQUES DES MODELES: LE SCHEMA SEMI-IMPLICITE ET LE SCHEMA ICI (CENTRE IMPLICITE ITERATIF) ENCORE APPELE PREDICTEUR-CORRECTEUR. ON FOURNIT UNE APPLICATION DE CES ALGORITHMES A DIFFERENTS JEUX D’EQUATIONS, AINSI QUE DES INFORMATIONS TECHNIQUES (ORGANIGRAMME).


 Contents:

  • 01/ Introduction.
  • 02/ Denotations.
  • 03/ General considerations.
  • 04/ Prognostic variables and quantities involved in the semi-implicit scheme.
  • 05/ Semi-implicit scheme and inversion of Helmholtz equation.
  • 06/ Inclusion of Coriolis term in the semi-implicit scheme.
  • 07/ Spectral multiplications by polynomial expressions of the mapping factor.
  • 08/ Organigramme of the spectral part of the semi-implicit computations.
  • 09/ Other remarks.
  • 10/ Precomputed module and namelist quantities.
  • 11/ References.

titre documents joints

Version cycle 46t1r1

12 February 2019
info document : PDF
463 kb

Version cycle 46t1

7 January 2019
info document : PDF
463.1 kb

Version cycle 46

10 April 2018
info document : PDF
450.2 kb

Version cycle 45

29 June 2017
info document : PDF
416.3 kb

Version cycle 44

7 March 2017
info document : PDF
416.1 kb

Version cycle 43

25 February 2016
info document : PDF
453.4 kb

Version cycle 42

7 July 2015
info document : PDF
452.8 kb

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