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Quels apports hydrologiques pour les modèles hydrauliques? Vers ...

Quels apports hydrologiques pour les modèles hydrauliques? Vers ...

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catchment, used as a case study, is provided in Section 3. Then, the variousoptions considered in model coupling are presented in Section 4. Last, Section 5details and discusses the results obtained.2 Questions Related to Coupling Rainfall-Runoff and Hydraulic85Modelstel-00392240, version 1 - 5 Jun 20099095100Coupling RR models and fully dynamic hydraulic models has not been frequentlyreported in the literature. Knebl et al. (2005), Moramarco et al.(2005), Whiteaker et al. (2006) and Lian et al. (2007) present examp<strong>les</strong> ofsuch coupling but they do not address the two issues raised in the introduction:the formulation of lateral injections in the hydraulic model as pointand/or uniformly distributed inflows and the level of spatial aggregation ofthese injections.2.1 Point vs uniformly distributed lateral flow injectionsSince the pioneering work of Hayami (1951), several authors have used simplificationsof the Saint-Venant system to derive analytical formulations of pointand uniformly distributed lateral inflows (Moussa, 1996; Moramarco et al.,1999; Fan and Li, 2006). Moussa (1996) presented an analytical solution obtainedby a linearisation of the diffusive wave equation and the Laplace transformand integrated this solution into a semi-distributed RR model (Moussa,1997) that hand<strong>les</strong> both types of injections. Another example of this approachis given by Koren et al. (2004), who used uniformly distributed lateral inflowboundary conditions in their distributed model.6

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