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DEPARTAMENTO DE ECUACIONES DIFERENCIALES
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Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico
Ecuaciones Diferenciales y Análisis Numérico
Fecha : 13 de abril de 2011
Hora : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)
Hora : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)
Stéphane Cordier
(Université d'Orléans, Francia)
Shallow water model : furrows effects and erosion modelling
Resumen
In this talk, I will present some results concerning Shallow
Water model that describes the evolution of height and velocity.
- In a first part, I will present a model approaching overland flow with furrows effects (collecting water in their own direction before the overflow) without representing them explicitly. This model is obtained by adding an anisotropic friction term.
- In a second part, I will present some result for the coupling with Exner equation, which describes the evolution of the topography. We show that the system is hyperbolic only under some constraint (physically non restrictive) on the velocity.
- In a first part, I will present a model approaching overland flow with furrows effects (collecting water in their own direction before the overflow) without representing them explicitly. This model is obtained by adding an anisotropic friction term.
- In a second part, I will present some result for the coupling with Exner equation, which describes the evolution of the topography. We show that the system is hyperbolic only under some constraint (physically non restrictive) on the velocity.