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. Annexe,

, Catchment Hydrology) est un modèle distribué à base physique qui simule l'évolution du front de l'humidité du sol et les échanges entre les eaux de surface et les eaux souterraines suivant un modèle pseudo3D à l'échelle des bassins versants. Le modèle a été décrit en détail par Bixio, CATHY, 2000.

, La résolution numérique de l'équation de Richards 3D est menée suivant une discrétisation en éléments finis tetrahydriques combinés avec le schéma d'Euler et un solveur non-linéaire de type Newton à base de Krylov avec un pas de temps adaptatif pour assurer la convergence de la solution, CATHY adopte l'équation de Richards 3D pour la modélisation des mouvements de l'eau dans les milieux poreux variablement saturés, 1994.

F. Montgomery, Le modèle décrit à la fois la propagation des écoulements à surface libre dans le versant, les cours d'eau, les ruisseaux et les canaux courants, les lacs et ainsi que les écoulements concentrés. La résolution de cette équation se base sur le schéma de Muskingum-Cunge avec adoption des coefficients de rugosité différents (Orlandini and Rosso, 1998) en spécifiant les types d'écoulement de surface dans le versant et dans le réseau hydrographique selon l'approche « Constant critical support area, Le ruissellement est régi dans CATHY à l'aide d'une équation unidimensionnelle de l'onde diffusante suivant une discrétisation en différences finies, 1993.

, Le modèle prend donc en compte l'infiltration et l'exfiltration de l'eau dans le sol et calcule la hauteur d'eau ruisselée, qu'il interprète comme une condition à la limite de surface. La rétention de l'eau dans le sol est décrite par les modèles de van, Genuchten, 1964.

, La discrétisation spatiale est donnée suivant un maillage rectangulaire basé sur le classement des éléments du paysage en deux classes : type « terrain » qui se draine vers des cellules de type « cours

. Guay, La direction de drainage est faite suivant un simple régime D8 (une des huit entrées / évacuation des directions est prise sur chaque cellule). Cependant, le découpage souterrain est moins détaillé, permettant de regrouper plusieurs unités de surface dans la même unité souterraine sous forme de prisme, 2012.

. Guay, Les autres applications concernent les bassins versants réels de taille 4, 64, 111, et 356 km 2 , qui sont caractérisés par une morphologie complexe, de vastes dépressions de surface naturelles, et une hétérogénéité régionale, respectivement. Une autre application a été menée sur un bassin de 3,4 ha en amont de la rivière Vauz situé dans les Alpes orientales italiennes, pour lesquelles des données complètes de l'écoulement fluvial, nappe phréatique, Le modèle a été validé sur six applications, qui ont validé l'échange surface-subsurface à l'échelle d'un bassin versant, 2010.