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.