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Semi-Implicit spectral computations and predictor-corrector schemes in the cycle 46t1r1 of ARPEGE/IFS.
Article published on 12 February 2019

by Karim Yessad

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.


Documents
Version cycle 42 452.8 kb / PDF

Version cycle 43 453.4 kb / PDF

Version cycle 44 416.1 kb / PDF

Version cycle 45 416.3 kb / PDF

Version cycle 46 450.2 kb / PDF

Version cycle 46t1 463.1 kb / PDF

Version cycle 46t1r1 463 kb / PDF