Abstract
We present here the main ideas and results concerning the derivation of a new quasi-3D hydrodynamical model, also called 2.5D model, within the framework of nonlinear weak formulations. The idea is to work in the sum of spaces concerning 2D models, one in the horizontal plane, the other in the vertical one. The new model takes into account the river’s geometry and provides a three-dimensional velocity and pressure. We present the finite element approximation of the model and some numerical results.
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Amara M., Capatina-Papaghiuc D., Trujillo D. (2004): Hydrodynamical modelling and multidimensional approximation of estuarian river flows, Comput. Vis. Sci. 6, 39–46
Amara M., Capatina-Papaghiuc D., Trujillo D. (2008): Variational approach for the multiscale modeling of an estuarian river. Part 1: Derivation and numerical approximation of a 2D horizontal model, Preprint LMA, University of Pau
Gerbeau J.-F., Perthame B. (2001): Derivation of Viscous Saint-Venant System for laminar shallow water. Numerical validation, discrete and continuous dynamical systems, Ser. B I(1), 89–102
Girault V., Raviart P.A. (1986): Finite element methods for Navier-Stokes equations. Theory and algorithms, Springer, Berlin
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Amara, M., Pétrau, A., Trujillo, D. (2010). Finite Element Approximation of a Quasi-3D Model for Estuarian River Flows. In: Kreiss, G., Lötstedt, P., Målqvist, A., Neytcheva, M. (eds) Numerical Mathematics and Advanced Applications 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11795-4_8
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DOI: https://doi.org/10.1007/978-3-642-11795-4_8
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