Modeling of two sub-reach water systems: application to navigation canals in the North of France

Abstract

Inland navigation networks are large-scale systems that can be described by using the nonlinear Saint-Venant partial differential equations. However, as there is no analytical solution for them, simplified models are used instead for modeling purposes. This work addresses the modeling of two sub-reach systems by means of the well-known Integrator Delay Zero model. Two main scenarios are considered: in the first one, the two partial models are independently computed one from each other; the second one uses previous knowledge of the whole two sub-reach system in order to ensure the flow consistency along the system. The application of these two methodologies to a part of the navigation network in the north of France serves as the case study for this work.