Description
CLIQUER ICI POUR REJOINDRE LA SALLE 3
Présidente de session : Brigitte Bidegarray.
Modérateur : Francky Luddens.
Our work deals with the construction of a second-order well-balanced Lagrange-projection scheme applied to the 1D Blood Flow Equations [Formaggia, Quarteroni, Veneziani 2009]. We study the model in the particular case in which the cross-sectional area at rest and the wall stiffness of the blood vessel could be not constant in space. Indeed, there exist physiological and pathological situations...
The Shallow water equations (also called Saint-Venant's equations) are the usual model governing fluid flow in the rivers, channels or the oceans. They are used, for example, for the protection of the environment, the prediction of tides and storm urges, the transport of the sediment or the study of floods. Some references in the literature propose an improvement of the Shallow water equations...
Hydrodynamic transport problems often take the form of hyperbolic conservation law systems (see e.g. [6, 5]). In this work we will focus on the Saint-Venant system which is still the utmost important model in maritime or fuvial hydraulics simulations, it governs the free surface shallow water flows. It was obtained from Navier-Stokes equations using adequate assumptions see [7]. Due to their...
