Hydrodynamical modelling and multidimensional approximation of estuarian river flows

Autores: David Trujillo, Mohamed Amara
Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort , 2003, ISBN 84-96214-04-4, págs. 41-48
Idioma: inglés
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Resumen
- We propose here a new approach for deriving 2D and 1D hydrodynamical models, within the framework of mixed variational formulations. We thus obtain a 2D-horizontal model, as well as a 2D-vertical and a 1D model taking into account the geometry of the river. We analyze here only the 3D model and the 2D-horizontal one, for which we propose (after time discretization) low-order conforming finite element approximations. All the variational problems are well-posed. We intend to justify next a posteriori estimators between these models.